51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference<BR>18th 12 - 15 April 2010, Orlando, Florida AIAA 2010-2770 2010 AIAA SDM Student Symposium Barely Visible Impact Damage Evaluation of Composite Sandwich Structures Abhendra K. Singh,1 Barry D. Davidson2 and David P. Eisenberg3 Department of Mechanical and Aerospace Engineering, Syracuse University, Syracuse, NY 13244 Michael W. Czabaj1 and Alan T. Zehnder4 Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853 Abstract The nature of quasi-static indentation damage is studied in aluminum honeycomb core sandwich panels with eight ply, quasi-isotropic, graphite/epoxy face sheets. Parameters that are varied include the core thickness, core density, face sheet layup and indentor diameter. The majority of induced damage is in the vicinity of the barely visible threshold. The permanent dent in the panel is found to always be larger than the contact area of the indentor, and specimens with denser cores exhibit smaller dent diameters for a given dent depth. Regardless of specimen layup, delaminations occur essentially only at the 3rd, 5th, 6th and 7th interfaces. Stiffer cores, either in terms of a higher density or, for those cores considered, a smaller thickness, result in more face sheet delamination for a given indentation event. Regardless of the core, larger delaminations occur in face sheets that contain only 90° angle changes between adjacent plies in comparison to those that contain only 45° angle changes. Thus, when delamination area is considered as a damage resistance metric, a low density core with a [45/90/-45/0]s face sheet will provide the best results of those geometries considered. However, if dent area or dent depth is chosen as the damage metric, this geometry will provide the least damage resistance, and a high density core with a [±45/0/90]s face sheet is best. These and similar results are discussed in the context of choosing the most damage resistant structural configuration and how this translates to damage tolerance. I. Introduction S ANDWICH composites are stiff, light-weight structures that offer high resistance to compressive stresses and bending moments. However, one major problem with these types of structures is impact damage. Relatively low velocity impacts can cause core crushing, face sheet debonding, delaminations and/or matrix cracking.1-4 This internal damage can be extensive and can have negative effects on structural performance, even if the external damage is non-visible or barely visible.5,6 Thus, many studies have focused on barely visible impact damage (BVID), as this is indicative of the maximum amount of damage that may exist undetected in practical structures. The goal is that, through understanding the nature of the damage at impact energies in the vicinity of BVID, better models may be developed that predict the effect of this damage on strength, stiffness and/or life.7 The objective of this study was to experimentally determine the effects of core thickness, core density, face sheet stacking sequence and indentor diameter on the nature and extent of low velocity impact damage. The primary focus is on damage states in the vicinity of BVID. Sandwich composites with three types of aluminum honeycomb cores and four different graphite/epoxy face sheet layups are considered. This is part of a larger effort where this information is used to develop and refine models for post-impact compressive strength, with the overall goal of developing a clear mechanistic and parametric understanding of the effects of different variables on impact damage and compression-after-impact response.7 1 2 3 4 Graduate student member, AIAA Laura J. and L. Douglas Meredith Professor, Associate Fellow, AIAA Undergraduate student member, AIAA Professor and Associate Director for Undergraduate Programs 1 American Institute of Aeronautics and Astronautics Copyright © 2010 by Abhendra K. Singh. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. II. Damage Creation All “impact damage” in this work was created through quasi-static indentation (QSI). That is, it has been shown that the nature and distribution of damage in composite sandwich structures is essentially identical for damage induced via low-velocity impact versus that induced via QSI.8-11 QSI testing also allows for more consistent and controllable damage levels; for example, as based on the externally evident dent depth. Details on the QSI procedure are presented subsequently. III. Materials, Manufacturing and Test Matrix All sandwich panels used eight ply quasi-isotropic IM7/8552 graphite/epoxy face sheets and 5052 aluminum honeycomb core. A total of seven different panel geometries were considered. These were comprised of three different cores and four different face sheet layups. Each of the three cores used a 3.175 mm cell size. Core type “C1” had a thickness of 25.4 mm and a density of 49.7 kg/m3. Core type “C2” had a thickness of 16.5 mm and a density of 49.7 kg/m3, and core “C3” had a thickness of 25.4 mm and a density of 72.1 kg/m3. Thus, with equivalent face sheets, a comparison of sandwich laminates with C1 vs C2 cores indicates the effect of core thickness, and C1 vs C3 indicates the effects of core density. The four different face sheet combinations that were used are referred to as Q1, Q2, Q3 and Q4. The corresponding layups were [45/0/-45/90]s, [45/-45/0/90]s, [-45/45/90/0]s and [45/90/45/0]s, respectively. These were intended to show the effects of 45° vs 90° angle changes, as well as the effects of the locations of the 0° and 90° plies. In addition to the seven geometric permutations described above, QSI testing was performed with both 25.4 mm and 76.2 mm diameter indentors. A few exploratory tests were also performed using a 12.7 mm diameter indentor, and it was found that the post-QSI state of damage and the resulting residual compressive strength was essentially the same as for specimens that were indented using the 25.4 mm diameter indentors. Thus, to provide more test replicates at each condition, we chose to concentrate on testing with the 25.4 mm and 76.2 mm diameter indentors. All specimens were fabricated in the Syracuse University Composite Materials Laboratory (SU-CML). Initially, panels were manufactured that were 381 mm square. These panels were fabricated in a single autoclave cure cycle using prepreg tape for the face sheets and 3M AF-555 adhesive for the face sheet to core bond. The ribbon direction of the core was always placed to coincide with the 0° direction for the face sheet layup. Prior to placing the face sheets in place, 3M EC 3524 void filling compound was used to pot the core in a manner that, after cutting the panel into specimens and inducing the damage, an edgewise compressive load could be introduced through the potted region of the core to obtain compression after impact (CAI) strengths.7 A schematic of a panel after manufacturing and trimming the edges is shown in Figure 1. Each “line” of potting compound was originally 25.4 mm wide and spanned the full width of the panel in the 90° direction. After trimming the edges, the potted region that remained was approximately 12.7 mm wide. The panel was also subsequently cut through the center strip of potting compound, such that the all edges that would be loaded had a potted region of approximately the same width. Figure 1. Typical panel dimensions after manufacturing and edge trimming (all dimensions in mm). 2 American Institute of Aeronautics and Astronautics Figure 1 can also be used to understand how panels were cut into specimens. This figure presents the “nominal configuration,” which corresponded to each panel being cut into four “full-sized” specimens that were 177.8 mm long (0° direction and direction of CAI loading) and 152.4 mm wide (90° direction), and two specimens that were 177.8 mm long x 50.8 mm wide for edgewise compression testing12, which was used to obtain undamaged compressive strengths.7 However, as will be discussed subsequently, for the first several panels manufactured, “small QSI specimens” were needed to determine the QSI load and indentation levels that would correspond to BVID. In these cases, instead of cutting the lower right quadrant of the panel into one full sized and one edgewise compression specimen, this was cut into one specimen that was approximately 100 mm square, two that were approximately 75 mm square, and two that were approximately 50 mm square. These were used for “QSI evaluation tests” using the 76.2 mm, 25.4 mm and 12.7 mm diameter indentors, respectively. In addition, in some panels, a 12.7 µm thick x 150 mm long x 25 mm wide teflon insert was placed within the plate in the location corresponding to the lower right edgewise compression specimen. These produced face sheet flexural test specimens that were used to calibrate the material properties used in the CAI finite element model.7 Table 1 presents the test matrix listing all full-sized specimens that were used for the QSI and damage evaluation studies that are described in this work. The first column presents the specimen type, where Q1-Q4 corresponds to the face sheet layups and C1-C3 to the core types described previously. The second and third columns show the number of specimens tested using the 25.4 and 76.2 mm diameter indentors, respectively. The final column presents the number of 381 mm square panels that were manufactured to create these specimens. Note that more than one panel was manufactured for the first four geometries that are listed. In these cases, at least two specimens that were tested at a given indentor diameter were taken from the same panel, and at least one specimen was taken from a different panel. In this way the effects of possible inter- and intra-panel variations in the specimens could be assessed. Table 1. Number of specimens tested and panels manufactured. Panel Type Q1-C1 Q1-C2 Q1-C3 Q2-C1 Q3-C1 Q4-C2 Q4-C3 TOTAL IV. Indentor Diameter 25.4 mm 3 3 3 5 1 2 2 19 76.2 mm 2 3 3 6 2 1 1 18 Panels Manufactured 3 2 2 3 1 1 1 13 Quasi Static Indentation (QSI) Testing A servo-hydraulic MTS machine was used for QSI testing. Figure 2 shows the test set-up. The center of the specimen was first marked using two diagonal lines on the top face sheet. Next, the sandwich specimen was placed on a circular rigid substrate and aligned so that the center of the indentor coincided with the center of the specimen. Two spring clamps were then used to hold the specimen in place. All QSI tests were performed under displacement control with a loading and unloading ramp rate of 0.05 mm/s. The majority of the specimens tested using a given indentor diameter were tested to the same load level. For the 25.4 mm diameter indentor, the BVID load threshold was chosen to be 1300 N. This corresponded to a maximum permanent dent depth of approximately 0.5 mm. For the 76.2 mm diameter indentor, the BVID load threshold was chosen to be 2800 N, which corresponded to a maximum permanent dent depth of approximately 1.0 mm. These load levels were determined using the small QSI specimens from the first few manufactured panels. That is, it was first ascertained that the small QSI specimens were sufficiently large that their load-deformation responses were essentially the same as those observed in the full sized panels. Small QSI specimens were then indented to varying loads and indentation levels in order to choose QSI load and indentation levels that corresponded to BVID. This determination was made qualitatively by consensus of the research team. However, as would be expected, not all panel types responded the same. For example, for a given 3 American Institute of Aeronautics and Astronautics load level, less permanent deformation would be observed in panels with the high density C3 core than in those with the C1 or C2 cores. Thus, some specimens were tested to different loads in order to obtain similar dent depths, i.e., so that the results from different panels could be compared at the same dent depth as well as at the same QSI load level. A limited number of specimens were also tested to higher load levels than the BVID threshold in order to provide additional insights into trends and mechanisms. Figure 2. QSI test set-up, 76.2 mm diameter indentor. Figure 3 shows the load versus displacement plots for the specimens from the various panel types. These results are from the 25.4 mm diameter indentor, and the trends and relative differences in behaviors for specimens loaded using the 76.2 mm diameter indentor were essentially the same. The general shape of the curves is similar for all specimen types. There is an initial region of elastic deformation. Inelastic effects show up as a knee or bend in the curve, which indicates the onset of core crushing and potentially other inelastic processes, such as delamination, matrix cracking and/or fiber failures. Beyond this, the response up to the maximum load is somewhat linear, but shows the combined effects of both elastic and inelastic deformation. The unloading line is highly nonlinear and evidences permanent deformations in the vicinity of the target value of 0.5 mm. The slopes in both the initial elastic region and secondary region between the knee and the maximum load point are primarily controlled by the core, with the high density C3 core providing the stiffest response. For the same face sheet, the specimens with the C2 core are slightly stiffer than the C1 core. Although they have the same density, the smaller thickness of the C2 core gives it less ability to redistribute the load and provides an effectively stiffer structural response than C1. There is also a secondary effect of face sheet layup. Considering specimens with the C1 core, in comparison to Q1, specimens with the Q2 and Q3 face sheets show a longer range of nonlinear behavior before the slope stabilizes between the knee in the curve and the maximum load point. As will be shown subsequently, more delamination was observed in the Q2-C1 and Q3-C1 than the Q1-C1 specimens, and it is likely that this is why the former specimen types show this extended nonlinear region. As the load level increases, the overall displacement at a given load becomes increasingly similar for all face sheet types. Along with the previous observation, this likely indicates that delamination onset occurs relatively early, and the response at higher load and displacement levels is dictated wholly by the core. 4 American Institute of Aeronautics and Astronautics Figure 3. QSI load versus displacement plots for full-sized specimens, 25.4 mm diameter indentor. V. Evaluation of Indentation Profiles The permanent dent left in all specimens was mapped using ultrasonic inspection. To the authors’ knowledge, this is the first time that this approach has been utilized for impact damaged laminates. In order to develop the method, a metal specimen with a known step size was initially manufactured and used to assess and refine the technique. The SU-CML c-scan unit, which employs a 500 MHz transient waveform digitizer, was utilized in pulseecho mode for the process. The c-scan’s software was configured to capture the time of flight (TOF) between the transducer’s pulse and the first wave reflection from the specimen’s surface, and this result was used along with the wave speed in water to determine the depth of the step. This was relatively straightforward for the stepped metallic specimen, so the initial development work primarily went into defining which signal peak corresponded to the onset of the pulse and the return of the echo, as well as the evaluation of various transducers between 10 and 75 MHz. It was found that a 50 MHz transducer provided the most accurate results. This study was then repeated with the small specimens that had been QSI tested, and the results for the dent depth versus location profiles from the ultrasonic evaluations were compared to those obtained by a mechanical surface profile measurement system. This consisted of a dial gage rigidly mounted above a precision sliding x-y scale, thereby allowing accurate depth measurements to be obtained at discrete points. In all cases, the 50 MHz transducer was again found to be the most accurate and provided results that corresponded quite closely to those obtained by the mechanical measurement system. Following the above initial verification of method, the ultrasonic approach was utilized for all full sized specimens, with just a few additional verifications performed using the mechanical system. In these cases, however, an extra step was required due to the fact that the specimens generally did not sit perfectly flat in the c-scan tank. In order to apply a “corrective rotation” to the data, a few different methods were evaluated. This was done because small differences in the data sampled by any approach made different methods produce slightly different results. The methods considered consisted of approaches using two perpendicular lines to correct for the specimen’s orientation versus those using a plane for correction. After assessing the various methods on several specimens, the former approach was adopted. Here, dented specimens were first scanned and the software used to obtain the TOF to the first wave reflection from the panel’s surface. This produced an array of times corresponding to the different x-y locations on the specimen’s surface, and the wave speed of sound in water was used to convert these to z-direction distances from the transducer. In the first data manipulation, the (x,y) location of the point that corresponded to the maximum dent depth was located. A plot was then made of the line that went through this point in the x-direction, i.e., a plot was made showing the z-direction distances versus x along a line that went through the center of the dent. 5 American Institute of Aeronautics and Astronautics An analogous line was then plotted of the distances along the y-direction line that went through the center of the dent. The slopes of these two lines were determined using the values outside of the dented region. Using these two slopes, the entire data set was then rotated such that the two lines would be horizontal. Next, a mean displacement was obtained from those data points remote from the dent, and this mean value was subtracted from all data. After this final data manipulation, the full data set was evaluated to determine the maximum dent depth and other parameters of interest. Typical indentation profiles that resulted from the above process are shown in Figures 4a and 4b. Note that the planar scales of these plots are contracted in comparison to their depth, and the physical dents do not appear nearly as steep as they do in the figures. Both figures present results for the Q2-C1 specimen configuration. Figure 4a presents the results for a specimen that was loaded to a force of 1300 N with a 25.4 mm diameter indentor and which had a maximum dent depth of 0.46 mm. Figure 4b presents the results for a specimen that was loaded to a force of 2800 N with a 76.2 mm diameter indentor and had a maximum dent depth of 0.91 mm. In addition to dent depth, the data also allowed ready determination of dent diameters and areas. To this end, the general procedure was to first plot the x-z and y-z surface profiles for the x- and y-direction lines that went through the center of the dent. Next, the dent width in each direction was determined and, if there was a slight difference, an average was taken. There was a certain amount of subjectivity in the definition of diameters, i.e., in defining the exact point where the dent ended and the flat region outside of the dent began. Thus, to make the diameter assessments, all x-z and y-z surface profiles from all specimens were plotted using identical expanded scales, and the determination of dent diameters for all specimens was made at the same time. In this manner, it was possible to ensure that a consistent definition was used for all specimens. In all cases, it was found that the dents were essentially round, i.e., there was very little difference in the x- and y-direction diameters. In Figure 4a, the dent diameter is 34.3 mm, and in Figure 4b it is 57.2 mm. Additional results from this process are presented subsequently. (a) (b) Figure 4. Typical dent profiles using (a) 25.4 mm and (b) 76.2 mm diameter indentors. VI. Internal Damage Evaluations Both pulse-echo and through-transmission c-scan methods for making internal damage evaluations were evaluated. Perhaps due to the large overall panel thickness, the through-transmission approach produced relatively poor results. As such, all internal damage evaluations were performed using the SU-CML c-scan unit with the same 50 MHz pulse-echo transducer that was used for the surface indentation profile evaluations. The small wave-length of this transducer allowed resolution of relatively near-surface damage and, due to the small thickness of the face sheets, did not appreciably affect the ability to resolve delaminations that were close to the core to face sheet bond.13,14 For the undamaged regions of the face sheet, the TOF between the front and back surface reflections was found to be approximately 0.6 µs. Thus, for the 8 ply face sheets considered, a reflection received 0.075 µs after the front surface reflection will correspond to one from the first interface, a reflection after 0.15 µs corresponds to the second 6 American Institute of Aeronautics and Astronautics interface, and so on. The front surface reflection was generally so long as to make resolution of any delaminations at the first interface nearly impossible, and reflections from the 7th interface were a bit problematic due to the loss of energy, the proximity to the back surface, and the “shielding” provided by the shallower delaminations, but reflections from the remaining interfaces were quite easy to resolve with our system. For specimens indented with the 25.4 mm diameter indentor, the full extent of delamination damage could be obtained. However, this was not the case for the specimens indented with the 76.2 mm diameter indentor. Here, the slope of the specimen’s external surface was such that the reflected signal in the regions of the dent near its perimeter could not adequately be captured. Thus, for specimens indented with the 76.2 mm diameter indentor, accurate quantitative information about the length of the delaminations at each interface could not be obtained. Nevertheless, the information from the interior portions of the dent were sufficient to ascertain that the delaminations in these specimens were larger than those in the specimens indented with the 25.4 mm diameter indentor, and that the pattern of the delaminations were essentially the same. Thus, in what follows, quantitative assessments on the effect of the delaminations will be restricted to those specimens indented with the 25.4 mm diameter indentor, and only qualitative assessments will be made for specimens indented with the 76.2 mm diameter indentor. In order to initially validate the non-destructive evaluation (NDE) results, as well as to determine the amount of shielded damage, the small QSI specimens were first c-scanned. Destructive evaluations were then performed and compared to the NDE results. In the destructive evaluations, the small QSI specimens were cut in the four ply angle directions of 0, 90, 45 and -45 degrees. The cuts were made through the dent center using a thin diamond blade. Due to the large number of cuts that were made, we did not polish the specimens, but rather viewed them with an optical microscope “as is.” This likely somewhat affected our ability to resolve all delaminations but, as will be shown, is not believed to affect the overall interpretations. Thus, after cutting, sections were imaged using a “scanning optical microscope”; that is, an optical microscope that has the ability to take several images across a large planar area, auto focus at each image, and then appropriately reconstruct the grid of images to correspond to the specimen being evaluated. These images were then inspected for delaminations and matrix cracks, and corresponding “2D damage maps” were constructed. A typical sequence is shown in Figure 5, which presents the NDE image of a Q1-C1 small QSI specimen, the corresponding destructive evaluation (DE) from a 0° direction cut, and the 2D damage map. This Q1-C1 specimen was QSI tested using a 25.4 mm diameter indentor to 1300 N and had a dent depth of 0.53 mm. Delaminations that appear in the photomicrograph from the DE have been enhanced with white lines to aid in viewing at the scale of the image. The damage map at bottom is a scale drawing of the image and was made for our own ease-of-use, i.e., so that the actual micrographs would not need to continually be referred to. They are intended to show all salient details. Also included in the figure is a c-scan scale bar showing the TOF and corresponding color scales. Along the cut line, the NDE and DE images show good correlation for the center delamination at interface 3 (blue) and for the delaminations extending to the left and right of it at the 5th (green) and 6th (yellow) interfaces. Information on the shielded delaminations, i.e., those beneath the nearest surface delaminations that are captured by the c-scan, is not obtained. It can also be seen that the core produces a certain amount of fiber waviness in the innermost plies, which somewhat complicates the NDE interpretations at interfaces 6 and 7. The DE images also showed matrix cracks between interfaces, something which obviously could not have been captured nondestructively. These matrix cracks span outwards from the dent center through various plies towards the core. No core to face sheet debonding was seen in the destructive evaluations. Finally, note that all the delaminations in this image are at interfaces 3, 5, 6 and 7. In a few specimens, very small delaminations – significantly smaller than those at the other interfaces – were observed at interfaces 1 and 2. No specimens showed midplane delaminations. 2D damage maps like the one described above were constructed for each of the cuts (0, 90, 45 and -45 degrees) from each of the small QSI specimens. In order to better understand the nature of the delaminations at shielded interfaces, information from these four 2D damage maps were assembled into 3D damage maps. To this end, the distance of each delamination’s starting and ending points were measured from a common datum and then assembled together for each interface. A typical result is presented in Figure 6, which presents the 3D damage map of the Q1-C1 specimen shown in Figure 5. In this 3D damage map, the solid lines present the delamination information obtained at each interface from the section cuts. The lightly blue shaded regions represent overlays of the delamination information revealed by the NDE image for that particular interface; in this case, as taken from the c-scan of Figure 5. It may be observed that these comparisons and those of Figure 5 provide strong corroboration of the NDE results, and this was true in all specimens evaluated. The dotted lines in Figure 6 utilize the combination of the NDE and DE results to make a conservative estimation of the delaminated area at each interface. This was done primarily to better understand the nature of the shielded damage. For example, based on the NDE and DE images, it is likely that the delamination in interface 5 is continuous and takes a shape that is something like that shown, or perhaps somewhat larger. The delamination at interface 6 might be larger than that which is drawn. It may be continuous and perhaps elliptical or lemniscate 7 American Institute of Aeronautics and Astronautics shaped. There is insufficient information to make these conclusions. However, it is likely that the delaminated area is at least as large as that which is enclosed by the dotted lines. A similar statement can be made for interface 7. By making these damage maps for multiple specimens of each configuration, it was possible to extract some general trends. These are described below. First, however, it was necessary to establish that the damage in the small QSI specimens was representative of that in the full sized specimens. To this end, c-scan results from all small QSI specimens of a given type were compared to those of the large QSI specimens of that same type. No significant differences were observed. In addition, comparison of the load versus displacement plots of small and large QSI specimens showed essentially no differences. Based on these observations, it was concluded that the 3D damage maps and conclusions based on their correlation to the NDE images for the small QSI specimens applied equally to the full sized specimens. Figure 5. C-Scan, destructively obtained cross-sectional view, and corresponding 2D damage map. 8 American Institute of Aeronautics and Astronautics Figure 6. 3D damage map of the Q1-C1 specimen of Figure 5. Figure 7 presents typical c-scans of the four different face sheet layups from specimens that were indented with the 25.4 mm diameter indentor. The color scale and ply angle convention used here is the same as that introduced in Figure 5. As previously indicated, delaminations were observed only at interfaces 3, 5, 6 and 7. Also, delaminations at interface 7, depicted in red, are often difficult to distinguish from the back surface reflection that is obtained in the regions where no delaminations exist. Note that for layups Q1 and Q4, good information was obtained for interfaces 3, 5 and 6, with limited information at interface 7 due to shielding effect. For Q2, the results are a bit worse due to the shielding of near-surface delaminations, and the scans for Q3 indicated only those delaminations at interfaces 3 and 5. By combining results such as those shown in Figure 7 with the 3D damage maps, it was possible to make a variety of observations across and between face sheet and core types. For all panel geometries, if it is assumed that all delaminations are continuous through the shielded region, then all delaminations are oblong, with the direction of the major axis of each delamination primarily controlled by the direction of its back surface ply. This is similar to what has been observed in low velocity impacts of non-sandwich laminates.13 The delaminations at interface 3 were always lemniscates. For layups Q2 and Q3, their major axis is aligned with their back surface ply angle, whereas for Q1 and Q4, the two portions of the lemniscates are slightly offset, giving the major axis a slight tilt towards the positive 45° direction. Each layup has one other delamination at 0 or 90 degrees, which occurs at either interface 5 or 6, depending on the layup. These delaminations are generally continuous through the shielded region and are either elliptical or lemniscate shaped. As in the case of interface 3, the interface 5 and 6 delaminations are aligned with the back surface ply angle for Q2 and Q3, but have a slight tilt towards the positive 45° direction for Q1 and Q4. For all panel types, these are the widest delaminations of all that occur; for layups Q1, Q2 and Q4, they are also the longest. Layups Q1 and Q4 have similar delamination patterns. They both have tilted, lemniscate shaped delaminations at interface 3 and a somewhat longer and wider trapezoidal shaped delamination at interface 5. The largest delaminations occur at interface 6 in these face sheet types and are either elliptical or lemniscate shaped and are slightly tilted with respect the back surface ply angle. The delaminations at interface 7 appeared to be smaller than those at interface 5, and often were discontinuous throughout the shielded region. For Q2, the delamination at interface 3 was similar in shape to Q1 and Q4, but somewhat wider, without any obvious tilt of the major axis. The largest delamination was oriented at 0° at interface 5 and was similar in size to the delaminations at interface 6 in Q1 and Q4. The 45° delamination at interface 6 was smaller than the 45° delamination at interface 5 in Q1, and the destructive results indicated that this delamination may have not always been continuous through the shielded region. The delamination at interface 7 was similar to Q1 in terms of size, shape and potential discontinuity.We had 9 American Institute of Aeronautics and Astronautics limited results for Q3, but the NDE and DE data suggest that it had the longest and widest delamination at interface 3 out of all layups. The delamination at interface 5 was wider but similar in length or perhaps a bit shorter than that at interface 3. The delaminations at interfaces 6 and 7 were similar to those seen in Q2 face sheet type. As will be shown subsequently, the size of delamination distribution also differs between different core types. For the same face sheet, the delaminations are larger in panels with the C2 and C3 cores than in those with C1. The 0 and 90 degree delaminations are thinner and longer in C2 core type than in C1 and C3, where in the latter two they are similar sized. 10 mm 10 mm Q1: [45/0/-45/90]s Q2: [45/-45/0/90]s 10 mm 10 mm Q3: [-45/45/90/0]s Q4: [45/90/-45/0]s Figure 7. Typical c-scan scan results for the four different face sheet types, 25.4 mm diameter QSI. VII. Damage Resistance In this section, the preceding methods are applied to evaluate the damage resistance of the various panel geometries. The damage event may be thought of as a particular QSI force and indentor, in which case the damage metrics of dent depth, dent diameter and delamination area are considered. Alternatively, imparting a dent of a given depth could be taken as the damage event, in which case the latter two metrics would be of interest. Figure 8 presents the average QSI force versus average dent depth for all panels tested. As indicated in the legend, different shaped symbols are used to represent the different face sheet types, and different colors are used to represent the different cores. Filled symbols depict specimens that were loaded to the BVID force level, while open symbols depict specimens that were loaded to a higher force, for example, to match dent depths of the different panels or to elucidate trends. To obtain the average QSI values in the figures, specimens of the same type were first grouped. These were then further divided into groups that experienced the same force within 1-2 N. The average force and dent depth were then determined for each group. These average results are presented in order to illustrate general trends. Analogous results for average QSI force versus average dent diameter are presented in Figure 9. 10 American Institute of Aeronautics and Astronautics Figure 8. Results for average QSI force versus average dent depth. Figure 9. Results for average QSI force versus average dent diameter. Considering the specimens with the Q1 face sheet, Figures 8 and 9 show that, for a given QSI load and indentor, the largest dent depths and areas are observed in those that have the C1 core, the next largest in C2 core specimens, and the smallest dents in C3. This corresponds to the QSI load vs displacement results presented previously. Considering specimens with the C1 core, at the BVID force level, specimens with the Q1 face sheet show larger dent depths and diameters than those with Q2. Interestingly, this trend is reversed for the higher force level specimens indented with the 25.4 mm diameter indenter. Both the C2 and C3 core results indicate that specimens with the Q4 face sheet show larger dent depths and diameters than those with Q1. Thus if dent depth or dent diameter were the damage metric, the average results show that the C3 core provides the most damage resistant panels and C1 the least, and that the Q2 face sheet is more damage resistant than Q1 which provides better resistance than Q4. Consistent results were not obtained for Q3, and no conclusions can be drawn about this layup. Figure 10 presents results that are similar to those in 8 and 9, but here all specimens tested are presented. This allows the scatter in results to be observed. The same symbol definitions are utilized as in the previous two figures. 11 American Institute of Aeronautics and Astronautics Although not explicitly identified in the figure, no difference in scatter was observed between specimens cut from the same panel versus those cut from different panels. Interestingly, note that when the force levels are increased so that the dent depth in the C3 core specimens agrees with those in the other specimen types, the dent diameter for C3 remains smaller. This is further illustrated in Figure 11, which shows the ratio of dent diameter to dent depth for the various panel types. As before, filled symbols indicate specimens at the BVID loads, whereas open symbols indicate those at higher loads. The ratio of dent diameter to dent depth is essentially independent of the load level, and only slightly dependent on the indentor diameter. Specimens with the C3 core clearly show a lower diameter for a given depth. However, although the C2 core was shown to be stiffer than C1, the ratio in Figure 11 for specimens from the two cores and with the same face sheet is essentially the same. This shows that the ratio of dent diameter to dent depth is a function of core density, and that denser cores will show smaller dent diameters for a given depth. Figure 10. Dent diameter versus dent depth for all specimen types. Figure 11. Ratio of dent diameter to dent depth by specimen type. 12 American Institute of Aeronautics and Astronautics Figure 12 presents the ratio of the dent diameter to the local chord length of the indentor for all specimen types. The local chord length, c, is as defined in Figure 13 and was computed for each specimen based on the indentor radius, r, that was used and the permanent dent depth, d, that was obtained using the relation c = 2 d ( 2r − d ) (1) Figure 12 shows that, regardless of indentor, the permanent dent was always larger than the region of the indentor that was contacting the specimen. That is, bending of the face sheet outside of the contact region contributes to core crushing. The difference between the dent diameter and the chord length increases with increasing QSI load and displacement, i.e, as the face sheet undergoes more bending. As would be expected, the ratio of Figure 12 is always greater for the smaller diameter indentor. As a result of the larger density and associated smaller dent diameter, the ratio for specimens with the C3 core is the smallest, whereas the ratio for the other core types are essentially the same for a given indentor diameter. Figure 12. Ratio of dent diameter to local chord length of the indentor. Figure 13. Sketch illustrating local chord length definition. Figure 14 considers the case where planar delamination area is chosen as the damage metric. Here, planar delamination area refers to the overall area of delamination that is obtained from the NDE images, without regard to the delamination’s depth. The area of shielded delaminations is not included. To compute this value, the major and 13 American Institute of Aeronautics and Astronautics minor axes of the boundary of all delaminations obtained by NDE were first determined. The average of these two values was then defined as the equivalent circular diameter, and the area of this equivalent circle was computed. As previously described, this was only possible for specimens indented with the 25.4 mm diameter indentor. Thus, Figure 14 presents QSI force versus planar delamination area for only these specimens. Considering specimens with the C1 core, if damage resistance is based on QSI force versus planar delaminated area, then specimens with the Q1 face sheet are more resistant than those with Q2 which are more resistant than Q3. The C2 results indicate Q4 is more resistant than Q1, but the C3 results indicate the reverse. Either way, it is clear that less delamination occurs in Q1 and Q4 than in Q2 and Q3. This likely relates to the fact that Q1 and Q4 only have 45° angle changes between adjacent plies. This results in a lower thermal and mechanical mismatch, and therefore lower interlaminar shear stresses during QSI, than what occurs in Q2 and Q3, which have 90° angle changes between adjacent plies. This result agrees with that reported in Ref. 15. The effect of core on the delaminated area may be observed by comparing specimens with the same face sheet. Specimens with the C1 core show lesser amounts of delamination than those with the C2 or C3 cores. Since the damage due to low velocity impact and QSI has been shown to be essentially the same, it is perhaps easiest to think of this via an energy argument. Also, recall the load versus displacement plots, where it was shown that the majority of the delamination occurs near the first inelastic bend in the curve. Since the C2 and C3 cores are stiffer than C1, less energy is dissipated early on through core crushing, and more energy goes into delamination in the former than the latter case. There is no clear trend between C2 and C3: with the Q1 face sheet, specimens with the C2 core show a greater amount of delamination, but the reverse is true with the Q4 face sheet. Figure 14. QSI force vs delamination area, 25.4 mm diameter QSI. Figure 15 illustrates the situation where the damage event is considered to be indentation to a certain depth, and the damage metric is again planar delamination area. This figure illustrates the same behaviors as those described above with respect to the effect of QSI load. As would be expected, Figures 14 and 15 show that the delaminated area generally increases with increasing QSI force and with increasing dent depth although, particularly in the cases of Q2-C1 and Q1-C2, there is a reasonable amount of scatter in both parameters. Overall, if delamination area is the damage metric, then either the Q1 or Q4 face sheet along with the C1 core will provide the most resistant result. This is in contrast to the case where dent depth or dent area was the metric, where the Q2 face sheet combined with the C3 core provided the best damage resistance, and Q4-C1 was the worst. This is better illustrated in Figure 16, which shows the ratio of the planar area of delamination to the dent area as a function of panel type. Since dent area and dent depth were shown to follow the same general trend, conclusions from this figure can also be extended to delaminated area versus dent depth. Here, Q1-C1 is observed to have a small amount of delamination for a given dent area, i.e., it shows a large dent area, but a small amount of delamination. Specimen types Q1-C3 and Q4-C3 show the reverse: a small dent area, but a large amount of delamination. Presenting the data in the format of Figure 16 also appears to clear up some apparent inconsistencies pointed out previously. Specifically, it indicates that, for a 14 American Institute of Aeronautics and Astronautics given face sheet, the C2 core type provides intermediate results to the C1 and C3 cores. It also shows that for a given core type and dent depth or area, the Q4 face sheet will show slightly less delaminated area than Q1. Figure 15. Dent depth versus delamination area, 25.4 mm diameter QSI. Figure 16. Ratio of planar area of delamination to dent area, 25.4 mm QSI diameter. 15 American Institute of Aeronautics and Astronautics VIII. Summary This work considered the effects of core density, core thickness, face sheet layup and indentor diameter on the nature and extent of quasi-static indentation damage in aluminum core honeycomb sandwich laminates with eight ply carbon fiber reinforced quasi-isotropic face sheets. It was observed that the core primarily controls the load versus displacement response during QSI. The role of the face sheet appears to be primarily reflected in its propensity for delamination, which has its strongest effect on the initial nonlinear region in the load-displacement response. Following indentation, the permanent dent was found to always be larger than the contact area of the indentor. The ratio of dent diameter to dent depth was found to depend on core density, where specimens with denser cores show smaller dent diameters for a given depth. This is consistent with the previous observation. That is, outside of the contact region, stiffer cores do a better job resisting crushing by the face sheet. Regardless of specimen layup, delaminations were observed to occur essentially only at the 3rd, 5th, 6th and 7th interfaces. Delaminations were oblong, with their major axis direction dictated by the angle of their back surface bounding ply. However, deeper delaminations did not always span the dent, but rather could be split into two distinct areas on either side of it. Stiffer cores, either in terms of a higher density or, for those cores considered, a smaller thickness, meant more delamination would occur in the face sheets. Regardless of the core, larger delaminations were observed in face sheets that contained only 90° angle changes between adjacent plies in comparison to those that contained only 45° angle changes. In order to assess the damage resistance of the various specimen types, the damage metrics of dent depth, dent area and planar delaminated area were evaluated. If dent depth or dent diameter is chosen as the damage metric, then more damage resistance is obtained with increasing core density, and a [±45/0/90]s face sheet was found to be best choice of the four face sheets considered. Lower density cores resulted in a larger permanent dent for a given indentation event, and a low density core with a [45/90/-45/0]s face sheet was found to be the least damage resistant configuration of those evaluated. Conversely, if delamination area is the damage metric, then this low density core and the [45/90/-45/0]s face sheet will provide the best damage resistance, i.e., the least amount of delamination for a given indentation event. When considering compression-after-impact response, a deep dent can lead to a global instability or kink band type of failure, whereas a large delamination can lead to failure controlled by delamination buckling and fiber failures.7 This observation, along with the dramatically different results that were observed for the damage modes among the different specimen types considered in this study, indicates the need for a closely coupled approach to damage resistance and damage tolerance, where the effects of the damage induced in different panel types by the same event can be predicted under the service loadings of interest. This knowledge may then be used as guidance in the choice of the structural geometry. Acknowledgements This work was co-supported by the NASA Constellation University Institutes Project, Grant NCC3-989, Claudia Meyer, Project Manager and by the Exploration Technology Development Program/Advanced Composites Technologies Project, Mark Shuart, Project Manager. 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