Composites: Part A 36 (2005) 1073–1078 www.elsevier.com/locate/compositesa Visualisation of barely visible impact damage in polymer matrix composites using an optical deformation and strain measurement system (ODSMS) Z.Y. Zhang*, M.O.W. Richardson Centre of Excellence—Manufacturing (RCMI), Department of Mechanical and Design Engineering, University of Portsmouth, Anglesea Building, Portsmouth, Hampshire PO1 3DJ, UK Received 16 August 2004; accepted 25 October 2004 Abstract This study deals with damage evaluation using an Optical Deformation and Strain Measurement System (ODSMS). Damage was introduced using an Instrumented Falling Weight Impact Test (IFWIT) machine. The incident impact energy was controlled to low magnitude so that the specimen was not penetrated and only internal or barely visible damage was introduced. This damage can have an adverse effect on structural integrity, and potentially lead to catastrophic failure. It is important to identify the damage and assess the structural integrity of components made of composites non-destructively. This paper presents the theoretical aspects involved in ODSMS and its capability of evaluating the impact induced internal damage. It has been found that ODSMS can successfully identify the internal damage in terms the strain concentrations at different loading levels. The damage location and geometrical characteristics are in good agreement with those evaluated by conventional NDT techniques. q 2004 Elsevier Ltd. All rights reserved. Keywords: A. Polymer-matrix composites (PMCs); B. Defects; B. Impact behaviour; D. Non-destructive testing 1. Introduction Polymer matrix composites (PMCs) exhibit distinct properties and have found ever-increasing applications as engineering components and structures in land transportation, aviation, aerospace, military, marine, sports and recreational industries [1,2]. In these fields it is critically important to evaluate the integrity and reliability of the components and structures in a non-destructive way because routinely employed mechanical property testing is destructive in nature. This is not practically and economically viable in most circumstances. Although conventional NDT techniques have been widely practised and showed varying degrees of success, they invariably suffer from inherent limitations and shortcomings [3–6]. Implementation of reliable and effective assessment of the structural integrity * Corresponding author. Fax: C44 23 92842351. E-mail address: zhong.zhang@port.ac.uk (Z.Y. Zhang). 1359-835X/$ - see front matter q 2004 Elsevier Ltd. All rights reserved. doi:10.1016/j.compositesa.2004.10.035 of PMCs has long been regarded as an ongoing challenge to NDT community. This requirement has led to the necessity for research and development of more reliable and effective non-destructive testing and evaluation techniques. ODSMS is an optical technique used to measure the deformation and strain of the surface of an object before and after loading. It has the advantage of simple specimen preparation, large measuring area, non-contact and full field measurement, non-laser illumination, material independent determination, full field and graphical results, threedimensional (3D) presentations and good mobility. Its capabilities include structural stability estimation, components dimensioning, non-linear behaviour examination, creep and ageing processes characterisation [7–9]. It is well known that the deformation and strain of an object under mechanical loading is associated with its structure integrity. The abnormalities and irregularities in deformation and strain profiles are indicative of the damage presence. Thus ODSMS has the potential to be adapted to detect PMC damage. This paper describes the application of ODSMS 1074 Z.Y. Zhang, M.O.W. Richardson / Composites: Part A 36 (2005) 1073–1078 Fig. 1. Intensity distribution in the non-deformed (1) and the deformed (2) state. in impact induced damage evaluation of glass fibre reinforced unsaturated polyester composites. process, it is required that the calibration object is recognized by the two cameras from several views. 2.1. Displacement determination 2. Theory ODSMS is an optical deformation and strain measurement system. The fundamental principle is based upon the fact that the distribution of grey scale values of a rectangular area (facet) in the un-deformed state corresponds to the distribution of grey scale values of the same area in the deformed state as illustrated in Fig. 1. ODSMS combines the advantages of photogrammetry and the object grating method. Photogrammetry is one of the optical methods that identify 3D-coordinates of surface points. The displacement vectors, local strain values and contour difference can be computed from the data when the object is deformed. When the object points on the surface of the specimen are arranged like a grating, this is commonly known as the ‘grating method’ in experimental mechanics. Instead of an expandable line mesh, a random pattern is applied to the surface using AKEMI black spray paint that allows high local resolution. The technique possesses many unique features including simple preparation of the specimen, large measurement area, non-contact and full field measurement, material independent determination, full field and graphical results and 3D representations. The optical arrangement photogrammetry consists of two CCD cameras and a loading device where the specimen is located as illustrated in Fig. 2. If the position of the two cameras and two homologous image points P1 (x1, y1) and P2 (x2, y2) are known, the corresponding object point P (X, Y, Z) can be calculated. This procedure is known as space intersection. A geometric model must then be established, which transforms from image points to object points. The parameters of the camera are necessary to establish the model that is calculated by a calibration procedure. As far as calibration is concerned, a special calibration object is needed that has small circular targets with known diameters attached on the surface. During the calibration The displacement determination is the calculation of the object coordinates for each deformation state for point P. It is important that point P with the coordinates (X, Y, Z) in the non-deformed state can be found in each deformed state with its new coordinates (Xt, Yt, Zt). Only in this case, the displacement and strain can be calculated. The calculation of homologous image points of two deformation states recognized from two cameras can be achieved by a combination of three 2D displacement calculation processes. Here it is important that one image is defined as the reference state. After determining all 2D displacement fields, the homologous image points can be easily calculated. With this information, the object coordinates for each state can be calculated by space intersection. 2.2. Strain determination After the determination of the displacement field, the strain distribution can be numerically calculated. The surface Fig. 2. Optical arrangement of ODSMS. Z.Y. Zhang, M.O.W. Richardson / Composites: Part A 36 (2005) 1073–1078 1075 Fig. 5. Schematic of ODSMS. Fig. 3. Determination of the tangential plane. strain is calculated by the transformation of the 3D displacement distribution into a 2D displacement distribution. After this, the strain can be calculated in 2D space. The strain calculation can be split into two steps. First a tangential plane is calculated for each of the object points Pu and Pv. For this purpose, the object points in the neighborhood are used as illustrated in Fig. 3. This rectangular area is referred to as the object facet. Second the object points in these object facets are projected onto the tangential plane. This must be done in the direction of the normal vector of the tangential plane. The problem can be defined as 2D as shown in Fig. 4. The calculation of the deformation gradient can be implemented according to appropriate algorithms. to introduce damage using a semi-spherical shape striker with a diameter of 20 mm. Incident energy can be systematically varied by using the different strike masses and /or releasing the striker from different heights [10–11]. Incident impact energy of 11.5 J was deliberately selected in an attempt to introduce invisible or barely visible impact damage. ODSMS, also known as ARAMIS, from Gesellschaft fur Opticsche Mestechnik (GOM) was used for the deformation and strain measurement for the impacted specimen, which is schematically shown in Fig. 5. The principle and theory were discussed in last section. Electronic Speckle Pattern Interferometry (ESPI) and Electronic Shearography (ES) from Ettemeyer AG Germany and Ultrasonic C-scan from Physical Acoustics Corporation haven been used in conjunction with ODSMS for impact induced damage evaluation. 4. Results and discussion 3. Experimentation 4.1. Visual inspection The pultruded glass fibre reinforced unsaturated polyester composite panel was provided by Euro-Projects (LTTC) Ltd. Its lay-up was found to be symmetrical by deplying the specimen. It consisted of unidirectional roving in the centre, sandwiched with random glass fibre mat, woven fibre fabric and surface veil symmetrically on both sides. Its fibre volume fraction was approximately 0.5. The panel was cut into rectangular specimens with overall dimensions of 150!40!4 mm. An instrumented low velocity falling weight impact machine Model IFW413 from Zwick/Roell was employed Visual inspection is one of the oldest and easiest NDT techniques and it continues to be a useful due to the fact that it is simple, speedy and cost effective compared to other more sophisticated NDT approaches. The representative surface features of impacted specimen on both their front and backsides are shown in Fig. 6. There is usually no indication of a damage presence on the front surface, implying no defects. By contrast, crack can be visible on back surfaces, indicating the damage presence. Visual inspection can provide a certain indication of any damage presence but is incomplete due to the possibility of hidden internal damage. 4.2. Damage evaluation using ODSMS Fig. 4. Projection onto tangential plane. As already indicated, ODSMS is an optical technique for measuring the deformation and strain of the surface of an object before and after loading. The random speckles created by spraying the black paint on a white background function as optical tracers. Left and right cameras capture 1076 Z.Y. Zhang, M.O.W. Richardson / Composites: Part A 36 (2005) 1073–1078 Fig. 6. Pictures of impacted specimen on front and back surfaces. Fig. 7. Speckle images from left and right cameras. the speckled images prior to loading and again after each loading step. The representative speckle images are shown in Fig. 7. Deformation determination involves the calculation of the object coordinates for each deformation state. The global deformation can then be visualised in X, Y, and Z directions. It can be seen that 3D deformations have been introduced due to the loading. The magnitude of this deformations is illustrated in Fig. 8. There were some differences in deformation profiles and magnitudes in X, Y and Z-axes. This is inherently associated with the complex loading schemes that can involve tension, compression, bending, twisting or their combination at different magnitudes. In this context, measurement of absolute deformation and strain values is not of primary concern and interest. The objective of this current study was to identify structural weaknesses associated with invisible defect and damage due to impact loading. The perturbation on the deformation profile can reveal idea of the damage but it can sometimes be difficult to visualise and quantify. However, abnormalities Fig. 8. Deformation profile in X, Y, and Z directions. Z.Y. Zhang, M.O.W. Richardson / Composites: Part A 36 (2005) 1073–1078 1077 Fig. 9. Damage visualisation by strain profiles. Fig. 10. Damage evaluated by ESPI, ES and ultrasonic C-scan. and irregularities in deformation profiles can be of great help in determining whether further strain analysis and other NDT techniques should be employed as far as the structural integrity evaluation is concerned. It is similar to damage evaluation using intensity fringe patterns in ESPI and ES [12–14]. Damage is identified in terms of irregularities or degradations in deformation or strain profiles. Damaged deform more that un-damaged ones because of stiffness differences. Although these differences can be very small in magnitude, these techniques can pick them up due to their high sensitivity. ODSMS in particular can be operated in very relaxed stability environments without any safety and security precautions due to the fact that no laser and coherent requirements are involved. After the determination of the deformation field, the strain distribution can be numerically calculated. The strain profiles at three loading levels are shown in Fig. 9. It can be seen that there are pronounced strain concentrations. Damage magnitudes increase with increasing loading levels with consistent locations and geometrical features. When the specimen is subjected to mechanical loading, strain concentrations are introduced because the damaged area is mechanically weaker and more vulnerable compared with surrounding areas. These mechanical differences can be picked up by ODSMS enabling the visualisation and quantification of barely visible damage. The findings from ODSMS show good agreement with those from ESPI, ES and ultrasonic C-scan in terms of damage features as shown in Fig. 10. It should be noted that although NDT can be implemented in visual, mechanical, acoustic, electrical, thermal or radiation mode, mechanical excitation is preferred because it is directly associated with the structural integrity. In this context, ODSMS, ESPI and ES are particularly appropriate because they detect damage via changes in deformation and strain between the damaged and undamaged areas [15,16]. Another capability pertaining to ODSMS is sectional analysis on strain distribution profiles that can further assist in structural integrity analysis and damage evaluation. It can ‘virtually’ implement singular and multiple sectioning at any location vertically, horizontally and diagonally. As can be seen in Fig. 11, the specimen under study was Fig. 11. Sectional analysis of strain distributions. 1078 Z.Y. Zhang, M.O.W. Richardson / Composites: Part A 36 (2005) 1073–1078 vertically sectioned in centre. The negative strain values are due to the fact that the specimen is mechanically loaded opposite to the Cartesian coordinates. The strains in undamaged areas are incrementally increased from K0.1, K0.22 and then K0.4%. They result from a global response to the mechanical loading. If there were no damage, the three lines would be parallel with no change as a function of the surface distance. In this case, the strains change considerably. They first increase, reach a peak and then finally decrease. The onset points where the strain starts to change are very close together indicating consistent damage geometrical damage features. Different strain values at three loading levels in the damaged area were expected because of the damage presence. It can be assumed that horizontal or diagonal sections will generate similar results. 5. Conclusions Low velocity impact loading can lead to invisible or barely visible damage in polymer composites and it is important to b able to determine it. Visual inspection can only provide superficial information on internal damage. Global deformation and strain can be here readily visualised by ODSMS, which is able to indicate the damage location and its geometrical features in terms of strain concentrations. With advantages of simple specimen preparation, non-contact and full field measurement, material independent determination, 3D representation and good mobility, it is clearly a viable NDT technique enabling the evaluation of the structural integrity of polymer composites in conjunction with other NDT techniques. References [1] Shalin RE. Polymer matrix composite. London: Chapman and Hall; 1995. [2] Murphy J. The reinforced plastics handbook. UK: Elsevier Science; 1995. [3] Adams RD, Cawley P. A review of defect types and non-destructive testing techniques for composites and bonded joints. NDT Int 1988; 21(4):208–22. [4] Cantwell WJ, Morton J. The significance of damage and defects and their detection in composite materials: a review. J Strain Anal 1992; 27(1):29–42. [5] Z.Y. Zhang, Non-destructive testing of glass-fibre reinforced polyester composite materials using Electronic Speckle Pattern Interferometry (ESPI), PhD Thesis, Loughborough University; 1999. 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