Passive Electronic Components Lecture 3 Page 1 of 19 10-Jun-2015 Mounting of Passives Electronic Components Lecture Plan 1. 2. 3. 4. 5. 6. Point-to-Point Mounting Through-Hole Mount Technology (TMT). Surface Mount Technology (SMT). Printed Circuit Board (PCB). Soldering. Gluing and welding. Development of Mounting Technique in Electronics Point-to-Point Mounting Through-Hole Mounting Surface Mounting 1. Point-to-Point Mounting The technology is characterized by: type of component terminals: (a) wire, (b) lug, (c) clamp, (d) plug; component mounting by: (a) screwing, (b) clamping, (c) soldering to lugs, (d) insertion in a socket; interconnections are performed using: (a) hook-up wire, (b) chassis. Point-to-Point Mounting technology started together with the first electrical and electronic appliances. Fig.1. Point-to-Point Mounting Lug (variable resistor) Clamp (capacitor) Wire (resistor) Plug (vacuum tube) Fig.2. Different types of terminals in electronic components suitable for point-to point mounting Passive Electronic Components Lecture 3 Page 2 of 19 Method of soldering in the case of Point-to-Point Mounting is manual soldering using soldering iron. 2. Through-Hole Mount Technology (TMT) is the method of mounting of electronic components with wire or wire-like stamped terminals by insertion of terminals in special holes in printed circuit board followed by soldering of the terminals to metalizes pads that surround the mounting holes. The technology is characterized by: Needle-like (wire or stamped) terminals of the components; Dielectric panel with holes (printed circuit board, PCB); Mounting pads around the holes and interconnections between the pads formed from copper foil laminated to surface of dielectric panel; Components mounting by insertion of wire terminals through the holes in PCB; Wave Soldering Technology. Dielectric panel and copper foil patterns laminated to its surface constitute Printed Circuit Board (PCB). Through-Hole Mount Technology is inseparably linked with PCB. a b Fig.3. Cross-section of PCB with through-hole mounted components (a). Top view on PCB with mounted components (b). Bottom view on PCB – "printed" copper conductors (c). 2.1. PCB history. http://www.pcfab.com/history.htm 2.1.1. In 1903, Albert Hanson, a Berliner living in London, filed a “printed” wire patent aimed at solving the telephone exchange need. It was proposed to produce conductive metal patterns by cutting or stamping of copper or brass foil. Then the patterns were bonded to dielectric plate (additive patterning). 2.1.2. Thomas Edison proposed idea of selective applying of glue and dusting of conductive (graphite or bronze) powder. 2.1.3. In 1913, Arthur Belly filed for a patent describing the method in which metal was etched away (subtractive patterning). Resists layer had to be applied to metalized surface of the board before etching in places where metallization has to remain. 2.1.4. In 1918, Max Schoop proposed flame-spraying process. c Passive Electronic Components Lecture 3 Page 3 of 19 2.1.5. In 1942 newly invented in England bomb fuse had printed circuit instead of wiring. 2.1.6. In 1947, “A Circuit Symposium” conference in Washington, D.C. sponsored by U.S. Aeronautical board and the NBS was held. Six processes were endorsed by the governmental technical representatives: Painting by metal-filled inks. Metal spraying. Chemical deposition. Vacuum deposition. Die stamping and bonding. Dusting conductive powder on tacky ink. Subtractive patterning process that nowadays has become the principal process of PCB technology was not mentioned. It was supposed to be an auxiliary process. 2.1.7. In 1948 the U.S. authorities ruled that all electronic circuits for airborne instruments were to be printed. 2.1.8. In the 50s photoimaging and etching processes were introduced together with copper-clad material in PCB manufacturing. These improvements were connected with name of inventor Paul Eisler, Austrian Jew that was forced out of work by the fascists in 1934 and left for England. In the beginning the components were inserted in PCB manually. Later semiautomatic and even automatic insertion equipment and solderwave soldering equipment were developed. Nowadays TMT remains in use in some limited applications in the form of mixed technology (TMT + SMT). It is used in some products that should not be miniaturized (TV, videos, home audio, etc.). The reason is a cost consideration. Semiautomatic TMT equipment has typical insertion rate of 750 cph (components per hour). Automatic equipment can reach about 15,000 cph speed but needs special pre-process: terminals forming and components taping in special sequencer machine. Typical method of soldering in TMT process is wave soldering technology (see “Soldering” paragraph below). 3. Surface Mount Technology (SMT) is the method of mounting of electronic components on flat surface of PCB without mounting holes. The technology is characterized by the following features: Stamped “legs” in so called leaded component or metallized edges of so called leadless component (chips) constitute the terminals (see picture below). Component placement on PCB and soldering are completely automated. PCB is similar to TMT PCB but without mounting holes. a Passive Electronic Components Lecture 3 Page 4 of 19 Fig.4. Surface mounted components on PCB In the early 80s the industry began to replace the traditional Through-Hole Mounting technique (TMT) with the Surface Mount Technology (SMT). Special Surface Mountable Devices (SMD) replaced the traditional wire-leaded components. The historical roots of SMT can be traced back to the middle of 70-s when hybrid and microwave circuits were developed on the base of so called “leadless components” mounted on ceramic substrates with screen printed interconnections. SMT components may be leaded and leadless (chips). They are placed on PCB by pick-and-place machine (Chip Shooter) with placement rate up to 40,000 cph. Placement precision is about 0.05 mm at 3. The outline dimensions of a smallest two-terminal chip component are 0.3mm×0.15mm. Fine pitch multi-terminal components (ICs) have a pitch down to 0.3 mm. Advantages of SMT components (when compared with TMT components): Smaller dimensions of components make it possible to increase mounting density. Smaller dimensions of components result in better HF performance (low parasitic inductance, low package propagation delay, low electromagnetic interferences). SMT components commonly have lower cost. Problems related to SMT components: Rigid terminals of leadless chips make solder joints more prone to cracks that may result from PCB bending or vibrating. Rigid terminals of leadless chips make solder joints more prone to cracks that may occur when PCB assembly is subjected to temperature cycling. The phenomena is called thermal fatigue and results from mismatch of component's and PCB's thermal coefficients of expansion (TCE). “Tombstone effect” (see the end of the lecture) is possible during soldering of chip components. Labeling (marking) of small components is problematic or even impossible. Thermal fatigue of solder joints . Material fatigue is a structural damage suffered by materials when they are subjected to periodic mechanical stress. The periodic stress may result from: application of periodic mechanical force; temperature cycling and mismatch of component's and PCB's thermal coefficients of expansion. Passive Electronic Components Lecture 3 Page 5 of 19 We shall consider the last case. Suppose that a chip resistor having length d is soldered to the surface of a PCB as it is shown in the figure below. The solder layer thickness is . Ambient temperature is T1. d T1 PCB Chip resistor 1 δ Solder Suppose that ambient temperature changed to T2 : T2 T1 T . Even in case when chip resistor does not dissipate power a shear strain in the solder joint arises because of different thermal coefficients of expansion of chip and PCB. Material Alumina (chip resistor substrate) Epoxy glass FR4 (PCB material) Thermal coefficient of expansion (TCE) 1 = 6 ppm/C = 18 ppm/C Chip length after temperature change will be d 1 1T . At that, the length of underlying part of PCB will be d 1 T . It will result in shear stress in the solder blocks. Suppose that the angle between adjacent sides of each of two solder blocks shown in the above picture was 90 at ambient temperature is T1. It is known from the Strength of Materials that shear strain is measured by the angle p that represents the change of the initially right angle as shown in below picture ( p 0 when ambient temperature is T1). T2 p 1 Commonly this angle is very small and therefore may be approximately replaced by its tangent: Passive Electronic Components Lecture 3 Page 6 of 19 p tan p 1 T d . 2 (1.1) Multiple (cyclic) deformation of solder joint results in its cracking (Fatigue Phenomenon). The first-order approximation of the relationship between the strain p in soldering material and number of cycles to the material failure N f is given by Coffin-Manson relation: 1 p Nf 2 2 f 1 c , (1.2) where f - fatigue ductility coefficient, c - fatigue ductility exponent. They are two dimensionless physical constants that characterize particular soldering material. Equation (1.2) is applicable to Low Cycle Fatigue - the loading that typically causes failure in less than 104 cycles and is associated with relatively large plastic (non-elastic) strain in metals. This situation is typical for solder joints. Equation (1.2) may be represented graphically as a straight line in coordinates log p , log N f (see graph below). Plotted experimental data for 60Sn40Pb solder Let us substitute p in (2) by (1): 1 1 c 4 f 1 T d c 1 . Nf 1 2 4 f 2 T d 1 In the case of 60Sn40Pb solder it may be supposed that f 0.33 , c 0.5 . For lead-free Sn3.0Ag0.5Cu solder f 0.325 , c 0.57 [4]. Passive Electronic Components Lecture 3 Page 7 of 19 Numerical example. Suppose that d = 6.310-3 m (the biggest size of standard chip resistor), T = 35 K, = 510-5 m (common thickness of solder in a joint). Number of cycles to failure may be calculated as the following. d = 6.310-3 m T = 35 K; = 510-5 m = 18 ppm/K= =1810-6 1/K; 1 = 6 ppm/K= =610-6 1/K; f 0.33 ; 1 c 1 T d Nf 1 2 4 f 6 3 1 18 6 10 35 6.3 10 N f 2 4 0.33 5 10 5 1 0.5 3 102 1 K K m 1 m c 0.5 Nf - ? Pay attention that the power of -2 = -1/0.5 is not integer value! It is approximate value with single significant digit. 4. Printed Circuit Board. 4.1. PCB construction and parameters Boards are generally defined by: type of dielectric material, number of conductor layers, copper thickness that is traditionally characterized by “copper weight”. Copper Weight is measured in Ounces of Copper Per Square Foot (m = 1oz.= 28.35g, S = 1ft2 = 0.3052m2). The common range of the parameter is 1/4… 3 oz. Typical value is 1 oz. Higher numbers are used in high current and high frequency applications. Copper density is = 8920 kg/m3. Let us calculate 1 oz. copper layer thickness h. Suppose that copper weight number has unlimited precision (idealization): m = 1oz. 28.35g = 0.02835 kg S = 1ft2 0.3052m2 = 8920 kg/m3 m Sh; h m S h 0.02835 34.2 10 6 (m) 2 8920 0.305 kg m kg m 3 m 2 h=? It is commonly supposed that 1 oz. of copper per square foot corresponds to 35 m of copper thickness. Let us calculate so called sheet resistivity of 1 oz. copper layer. Sheet resistivity is resistivity of a square pattern of a film or a foil of given thickness. Resistance of rectangular pattern may be calculated as the following: Passive Electronic Components Lecture 3 R Page 8 of 19 l l l , S hb h b where l, b, h, S – respectively length, width, thickness [m], and cross section area [m2] (perpendicular to the length direction) of the pattern, - material resistivity [m]. Conclusion: Resistance of a PCB foil pattern depends on its length/width ratio and does not depend on absolute values of its linear outline dimensions. Suppose that l b (square pattern). Its resistance we shall call “sheet resistivity” and designate as . h = 3510-6 m = 1.710-8 m l b =? R l l S hb h 1.7 10 8 m 35 10 6 m 0.50 10 3 sq Sheet resistivity = h . It must have [] dimensions. But for better understanding of the matter it is commonly designated as [/square] or [/□]. Layering Layers of copper traces in PCB are divided by dielectric layers. Number of copper layers may vary from 1 to 30. External layers (top and bottom) are covered by a screen printed solder mask. Commonly board thickness is 15 mil…250 mil (1 mil=25.4 m) or 0.38 mm…6.35 mm. Dielectric thickness is 1.3…2 mil or 0.03 mm…0.05 mm. Line width and spacing between lines – down to 5 mil or 0.13 mm. Line (trace) thickness and width are selected depending on the expected current. Spacing between the traces depends on the expected voltage. Vias (metallized holes for interlayer connections). Types: (a) blind, (b) through hole, (c) buried, (see picture below). a) b) c) a) Vias: a) blind ; b) through hole; c) buried www.morris.com.au/technical/ art_bb.htm 4.2. Dielectrics for PCB manufacturing Passive Electronic Components Lecture 3 Page 9 of 19 Glass-reinforced polymer (magnified cross-section) Dielectric materials for PCB manufacturing Glass-reinforced polymer laminates Ceramics Co-fired ceramics Thick-film multilayer (TML) High temperature (HTCC) Lowtemperature (LTCC) Glass-reinforced polymer laminates. The most common combination of resin and reinforcement material is epoxy and woven glass (FR-4, FR-5). In special applications another materials are used like polyester resin, non-woven glass, etc. Passive Electronic Components Lecture 3 Page 10 of 19 Ceramic PCBs . Three ceramic based technologies are used to manufacture ceramic PCB: Thick Film Multilayer (TFM), High Temperature Co-fired Ceramic (HTCC) and Low Temperature Co-fired Ceramic (LTCC). The same technologies are used for manufacturing of Multi-Chip Modules (MCM). Thick Film Multilayer (TFM). Multilayer circuits formed by sequential screen printing of conducting and dielectric thick-film materials, their drying, and firing. Double-sided and multilayer circuits with up to four circuit layers are manufactured in high volume for commercial applications (automotive, telecommunications). For military and aerospace applications, circuits with six to eight circuit layers are manufactured in moderate volume. Co-fired ceramics (HTCC and LTCC). Sheet dielectric materials are cast as a tape. All layers are screen-printed by conductive thick-film ink in parallel. Printed layers are laminated (stacked and pressed together), and then co-fired. The advantage of co-firing process is possibility of inspection of all printed layers prior to lamination. This insures better capability of the process compared to sequential screen printing of multilayer circuits. High Temperature Co-fired Ceramic (HTCC). Ceramic tape material is commonly based on alumina. It is fired at 1600…1800 C in hydrogen atmosphere. Only tungsten (W) and molybdenum (Mo) can be used as conductors because of the high firing temperature. Unfortunately their electrical conductivity is significantly lower when compared to silver. Low Temperature Co-fired Ceramic (LTCC). The tape material is composed of a glass and alumina. High conductivity silver-based thick-film material is used for screen printing of conductive traces. Multilayer PCBs with 50 or more layers have been manufactured using LTCC technology. This technology is well-suited for constructing RF modules for wireless applications with capacitors and inductors integrated into the substrate. Thermal conductivity of PCB materials Material Thermal conductivity, W/(mK) FR4 0.25 LTCC 2.5…4 HTCC 16…30 (Al2O3) 180 (AlN) 260 (BeO) Copper 401 5. Soldering. Permanent connection of mechanical parts may be done by using welding, soldering, and gluing. Their essence is introduction of liquid phase between the parts to be connected (molten base metal in welding, molten solder in soldering, glue in gluing). The liquid wets the parts, gets in intimate interfacial contact with them arising intermolecular attractive forces. Then the liquid solidifies keeping the parts connected. Liquid Part 1 Part 2 Passive Electronic Components Lecture 3 Page 11 of 19 Soldering is a process by which the parts are joined together using material (solder) with lower melting point than melting points of materials of joined parts. Welding is performed by melting of materials of joined parts. Glues are liquid materials that solidify as the result of chemical reaction or evaporation of solvent. 5.1. Soldering materials. Soldering materials Soft solders Leadcontaining Glass Hard solders (for brazing) Lead-free Solder is metal (elemental or alloy) or glass. Glass is used, for example, to attach optic cable to metal connector or to assemble ceramic and metallic parts of hermetic IC package. Metallic solders may be split in two families: Hard solders are copper, zinc or silver alloys with melting temperature above 400C. High melting temperature makes them not suitable for electronic assembly. Soft solders have lower melting temperature (but lower mechanical strength) when compared to hard solders. The most of soft solders are tin alloys. Tin is unique metal that wets vast majority of the metals. Six not wetted by tin (and therefore not solderable by tin alloys) metals are: Cast iron, Chromium (Cr), Titanium (Ti), Tantalum (Ta), Magnesium (Mg), Beryllium (Be). The fact that some metals that are not wetted by solder is important. These metals are used in soldering machinery for manufacturing machine parts that get in touch with molten solder. Lead-containing solders. They were basic solders in electronic industry for many years. They have relatively low melting temperature, excellent mechanical properties but comprise toxic lead. Nowadays they are gradually replaced by lead-free solders. Passive Electronic Components Lecture 3 Page 12 of 19 The most commonly used tin-lead alloys (currently they are used mostly in military and aerospace applications). Alloy Melting range, C Comments Sn63Pb37 183 The alloy is eutectic. It is used when temperature limitations are critical and in applications where an extremely short melting range is required. Sn62Pb36Ag2 178-190 The alloy is used for electronic assembly. Lead-free solders. The most frequently used lead-free solders are composed of 3…4% of silver, 0.5…0.7% of copper, and tin (the rest). This family of solders is commonly called SAC (Sn, Ag, Cu) solders. Melting point of respective eutectic ternary alloy is 217C (34 higher than melting point of eutectic tin-lead alloy). The most commonly used SAC alloy is Sn-3.5Ag-0.75Cu. Alloy Melting range, C Sn-3.5Ag-0.75Cu 218 Comments The alloy is eutectic. Issues with lead-free solder (when compared with Sn63Pb37 solder). Higher melting point of lead free solder (217C versus 183C) pushes peak reflow temperatures from 220C to 260C. It results in: 1. 2. 3. 4. 5. Energy consumption increase and impact on the ambiance. Total product cost increase. (More expensive solder, higher energy spending). More rigorous requirements to soldered components. (They are exposed to higher temperature). More rigorous requirements to fluxes. Higher probability of fatigue cracks in solder joints. 5.2. Fluxes. Commonly wetting of the surfaces of soldered parts by molten solder is limited by oxides and contaminations. Fluxes are special materials that remove oxide film and contaminations from soldered parts and prevent further formation of oxide films during soldering process. Furthermore, the fluxes lower the surface tension of the solder and promote wetting. In the past flux residues had to be removed after soldering in the most cases. Modern “no-clean” fluxes do not require removal of flux residues. 5.3. Wave soldering. The process is commonly used for soldering of through-hole mounted components to PCB. Sometimes it is used for soldering SMT components. But they have to be glued to PCB in advance. The basic equipment is a wave soldering machine. It comprises conveyor that moves the PCBs with inserted components through three different zones: (a) fluxing, (b) preheating, (c) soldering (see picture below). Soldering is performed by “solder wave” device. It is a pan of Passive Electronic Components Lecture 3 Page 13 of 19 solder equipped with a pump that produces the actual wave of molten solder (see picture below). Wave soldering machine Solder wave 5.4. Reflow soldering. It is the most commonly used process for soldering of surface mounted components. The process is based on using special paste containing both flux and solder. The solder paste is usually stencil printed onto a circuit board at appropriate points. Then surface mount component are placed on the paste patterns. The board with components is run through “reflow oven”. Solder in paste melts and form the joints between the terminals and PCB. Stages of SMT soldering: Solder paste printing or dispensing. Components placement. Soldering. Cleaning (except of “no-clean” soldering materials). Passive Electronic Components Lecture 3 Page 14 of 19 Stencil Stencil printer Passive Electronic Components Lecture 3 Page 15 of 19 Chip shooter 5.5. Solderability. The surfaces of component terminals that have to be soldered to PCB are coated by thin solder layer by components manufacturer. It must keep for a long time (at least more than a year) ability to be easily wetted by molten solder. This ability is called solderability and can be measured using special tests. For example in ”Dip and Look Test” a component (or its terminal only) is dipped in flux and after that in melted solder heated up to the specified temperature. Then the terminal area that has been dipped in solder is evaluated. Commonly more than 95% of entire critical terminal area must be newly covered by solder. Solderability problems. Non-wetting. Contamination, oxidation, diffusion processes in terminal may reduce its solderability. It means that some percentage of the terminal surface will not be wetted by solder. As a result of it electrical contact may be non-reliable and/or solder joint strength may suffer. Leaching. Leaching is dissolution of base metallization of chip terminal in molten solder. It happens when base metallization is a film of metal that easily dissolves in molten solder (silver, gold, etc.) and protective (barrier) nickel coating is damaged or missing. Passive Electronic Components Lecture 3 Page 16 of 19 Tombstone is a chip component that has flipped to a vertical position during reflow soldering. The phenomenon is caused by an unequal wetting of its both terminals. The surface tension in the terminal where solder melted early, forces the component to stand up on its end. The unequal wetting may be caused by (a) wrong solder pad design, (b) bad solderability of terminal, (c) unequal amount of solder paste under the terminals, (d) unequal temperature of the terminals. To reduce the temperature gradients, the rate of temperature rise in pre-heat zone of reflow oven must be reduced. The soak time should be prolonged. The use of nitrogen in reflow soldering can increase the tomb stoning effect due to a higher surface tension of the melted solder in nitrogen atmosphere. Tombstone model It is supposed that termination from left side is disconnected for some reason. The following forces are taken into account: Passive Electronic Components Lecture 3 Page 17 of 19 surface tension in solder fillet at the face side of right termination; surface tension of solder under right termination; weight P of the part. Solder surface area change after clockwise rotation of the part around its right lower corner. Angle of rotation is . Solder surface area S reduction in solder fillet at the face side of right termination: 1 S HW 2 H 2 . (2.1) 2 Solder surface area increase S under right termination: 1 S AW 2 A 2 . (2.2) 2 Resulting solder surface area change: S S S W A H A 2 H 2 . (2.3) Potential energy change: 1 E S A H W A H LP, (2.4) 2 where is surface tension of molten solder. Surface tension of tin/lead solder is about 0.4 mN/mm. Surface tension of lead-free solder is about 0.5 mN/mm. Positive energy change means that the chip initially was in position with minimal potential energy, i.e. in stable position. Negative energy change means that the chip initially was in position with maximal potential energy, i.e. in instable position when tombstoning is possible. d E 1 A H W A H LP. d 2 (2.5) For 60Sn/40Pb solder surface tension at 235C and with normal electronic-grade flux is d E 0.4 mN/mm = 0.4 N/m = 0.4 J/m2. Initial data for standard chip resistors and calculation d results according to (2.5) are presented in the table below. Case 0201 0402 0603 0805 1206 1210 1218 2010 2512 Chip length L, mm Terminal length A, mm Chip thickness H, mm Chip width W, mm Chip weight, mN 0.60 1.00 1.55 2.00 3.20 3.20 3.20 5.00 6.30 0.10 0.25 0.30 0.30 0.45 0.45 0.45 0.60 0.60 0.23 0.35 0.45 0.45 0.55 0.55 0.55 0.60 0.60 0.30 0.50 0.85 1.25 1.60 2.50 4.60 2.50 3.15 0.0015 0.008 0.02 0.04 0.10 0.16 0.27 0.27 0.45 d E , d mNmm -0.032 -0.040 -0.081 -0.080 0.056 0.116 0.208 0.675 1.418 Passive Electronic Components Lecture 3 Page 18 of 19 Analysis of equation (2.5) gives direction to decrease tombstone probability: to decrease parameters , H. This means to use solders with lower surface tension, to decrease height of the component or to exclude at all metallization on face side of the terminal. Skewing is misalignment of a part regarding its target position. It may be caused by an unequal wetting of both terminals. The surface tension in the terminal where solder melted early, makes the component to skew. 6. Gluing and welding. Gluing. The alternative method of component mounting on PCB is gluing by conductive adhesives. The conductive adhesives can be screened or dispensed onto the circuit board surface prior to placing a component onto the board in the same manner as solder paste. There are two kinds of adhesives: (a) silver filled, (b) gold filled. The advantages of conductive adhesive when compared with solder are: Lower curing temperature 120…150C (versus 220…260C soldering temperature); Better withstanding to thermal cycling; No softening at high temperatures The disadvantage is higher contact resistance that may be unstable when adhesive is used with nonnoble metallization of terminals [3]. Typical contact resistance of soldered connection is 10…15m. Modern conductive adhesive has contact resistance less than 50 m [1]. The newest types of glues are reported to be usable with standard tin plated terminals [3]. The examples are POLYSOLDER manufactured by Cookson Electronics or ABLESTIK ICP-3535M1 manufactured by Henkel Electronic Materials. Welding. The technique that is called wire-bonding is used in electronic assembly (preferably in hybrid modules assembly) and for interconnections in component assembly. The connections are made using ultrasonic energy and metal wire. Wire types: Gold (Au) with diameter 18…50m, Aluminum (Al) with diameter 25…50m. Passive Electronic Components Lecture 3 Page 19 of 19 Literature. 1. King-Ning Tu. Solder Joint Technology: Materials, Properties, and Reliability. Springer. 2007, 373 p. 2. Rudolf Strauss. SMT Soldering Handbook Second Edition. Newnes, 1998, 371 p. 3. Dreezen G., Deckx E., Luyckx G. Solder alternative: Electrically conductive adhesives with stable contact resistance in combination with non-noble metallization. CARTS Europe 2003, pp.223-227. 4. Nathan Blattau and Craig Hillman A Comparison of the Isothermal Fatigue Behavior of Sn-Ag-Cu to Sn-Pb Solder. DfR Solutions, College Park, Maryland. http://www.dfrsolutions.com/pdfs/2006_Blattau_IPC.pdf