Mixed mode fracture toughness of lead–tin and tin–silver solder joints with nickel-plated...

7
Materials Science and Engineering A 404 (2005) 244–250 Mixed mode fracture toughness of lead–tin and tin–silver solder joints with nickel-plated substrate K.S. Siow , M. Manoharan 1 School of Materials Science and Engineering, Nanyang Technological University, 639798, Singapore Accepted 23 May 2005 Abstract This study uses modified compact tension specimens to evaluate the fracture toughness of solder joints under a combination of tensile and shear loads. Copper substrates were coated with electroless nickel plating before they were soldered together. The samples were reflowed to peak temperatures of 215 and 240 C for Sn–37Pb and Sn–3.5Ag, respectively, with appropriate preheating temperatures, holding time and cooling rates. Fracture toughness tests were conducted as per ASTM E399-90. Cross-sectional microstructural and fractography studies were carried out on the tested samples. Earlier fracture studies which were based on J integral as per ASTM E813-89 did not produce valid results because of brittleness of the solder joints. The current results showed that the fracture of the solder joints follows the general principles of a mixed mode fracture mechanism map and shear is the preferred mode of failure regardless of different mode of loadings, type of solders and substrate coatings. © 2005 Elsevier B.V. All rights reserved. Keywords: Solder joint; Fracture toughness; Mixed mode; Sn–37Pb; Sn–3.5Ag 1. Introduction Solder joint reliability is one of the critical issues in the process development of different packaging schemes because the solder functions as a heat dissipater from the integrated circuits as well as electrical and mechanical contact to the printed circuit board. Solder joint failure can be categorized to process- and service-related failures. Process-related failures refer to non-wetting and dewetting of the solders on the leads which may create regions of sharp flaws in the joint. Service- related failures refer to creep and fatigue failure caused by the high operating temperature and thermo-mechanical cycling loading. Since process defects cannot be completely elimi- nated in any manufacturing process and operating environ- ment of solder joints will only become more demanding in Corresponding author. Present address: Ian Wark Research Institute, University of South Australia, Mawson Lakes Campus, Mawson Lakes, SA 5095, Australia. Tel.: +61 8 8302 3398; fax: +61 8 8302 3683. E-mail address: [email protected] (K.S. Siow). 1 Present address: Ceramics Laboratory, GE Corporate Research and Development, One Research Circle, Niskayuna, NY 12309, USA. the future, cracks are likely to initiate and propagate to failure in the solder joint. Therefore, fracture toughness emerges as an important factor to be considered in the design of reliable solder joints. The interfacial fracture of dissimilar materials has been studied and all this work has been reviewed by Hutchinson and Suo [1]. While most of these studies focused on mixed modes I–II, little or no research had been conducted on fail- ure of dissimilar materials loaded in modes I–III. In the case of solder joints, different fixtures, i.e. compact tension/shear [2,3], four point bend [4] and brazil nut fixtures specimens [5], had been used to impose different degree of loading and hence different ratios of mode mixity of I–II into their frac- ture toughness values. Both experimental and finite element analysis had been carried out to verify these different joints. Another group adopted the ASTM E399-90 and ASTM E-813-89 to characterize their bulk solder and solder joints. The validity of using these standards which was derived for monolithic and homogeneous materials in characterizing dis- similar materials in solder joint had been discussed by Pratt et al. [6]. They based their argument on Buettner’s work which showed that the strain energy release rate of solder joints will 0921-5093/$ – see front matter © 2005 Elsevier B.V. All rights reserved. doi:10.1016/j.msea.2005.05.086

Transcript of Mixed mode fracture toughness of lead–tin and tin–silver solder joints with nickel-plated...

Materials Science and Engineering A 404 (2005) 244–250

Mixed mode fracture toughness of lead–tin and tin–silversolder joints with nickel-plated substrate

K.S. Siow∗, M. Manoharan1

School of Materials Science and Engineering, Nanyang Technological University, 639798, Singapore

Accepted 23 May 2005

Abstract

This study uses modified compact tension specimens to evaluate the fracture toughness of solder joints under a combination of tensile andshear loads. Copper substrates were coated with electroless nickel plating before they were soldered together. The samples were reflowed topeak temperatures of 215 and 240◦C for Sn–37Pb and Sn–3.5Ag, respectively, with appropriate preheating temperatures, holding time andcooling rates. Fracture toughness tests were conducted as per ASTM E399-90. Cross-sectional microstructural and fractography studies werecarried out on the tested samples. Earlier fracture studies which were based onJ integral as per ASTM E813-89 did not produce valid resultsb ciples of am solders ands©

K

1

ptcpprwrhlnm

U5

D

ilurees asiable

eenson

xedfail-asehearnsand

c-mentints.TMints.d for

dis-att etich

s will

0d

ecause of brittleness of the solder joints. The current results showed that the fracture of the solder joints follows the general prinixed mode fracture mechanism map and shear is the preferred mode of failure regardless of different mode of loadings, type of

ubstrate coatings.2005 Elsevier B.V. All rights reserved.

eywords: Solder joint; Fracture toughness; Mixed mode; Sn–37Pb; Sn–3.5Ag

. Introduction

Solder joint reliability is one of the critical issues in therocess development of different packaging schemes because

he solder functions as a heat dissipater from the integratedircuits as well as electrical and mechanical contact to therinted circuit board. Solder joint failure can be categorized torocess- and service-related failures. Process-related failuresefer to non-wetting and dewetting of the solders on the leadshich may create regions of sharp flaws in the joint. Service-

elated failures refer to creep and fatigue failure caused by theigh operating temperature and thermo-mechanical cycling

oading. Since process defects cannot be completely elimi-ated in any manufacturing process and operating environ-ent of solder joints will only become more demanding in

∗ Corresponding author. Present address: Ian Wark Research Institute,niversity of South Australia, Mawson Lakes Campus, Mawson Lakes, SA095, Australia. Tel.: +61 8 8302 3398; fax: +61 8 8302 3683.

E-mail address: [email protected] (K.S. Siow).1 Present address: Ceramics Laboratory, GE Corporate Research and

the future, cracks are likely to initiate and propagate to fain the solder joint. Therefore, fracture toughness emergan important factor to be considered in the design of relsolder joints.

The interfacial fracture of dissimilar materials has bstudied and all this work has been reviewed by Hutchinand Suo[1]. While most of these studies focused on mimodes I–II, little or no research had been conducted onure of dissimilar materials loaded in modes I–III. In the cof solder joints, different fixtures, i.e. compact tension/s[2,3], four point bend[4] and brazil nut fixtures specime[5], had been used to impose different degree of loadinghence different ratios of mode mixity of I–II into their frature toughness values. Both experimental and finite eleanalysis had been carried out to verify these different jo

Another group adopted the ASTM E399-90 and ASE-813-89 to characterize their bulk solder and solder joThe validity of using these standards which was derivemonolithic and homogeneous materials in characterizingsimilar materials in solder joint had been discussed by Pral. [6]. They based their argument on Buettner’s work whshowed that the strain energy release rate of solder joint

evelopment, One Research Circle, Niskayuna, NY 12309, USA.

921-5093/$ – see front matter © 2005 Elsevier B.V. All rights reserved.oi:10.1016/j.msea.2005.05.086

K.S. Siow, M. Manoharan / Materials Science and Engineering A 404 (2005) 244–250 245

approach that of homogeneous copper substrate at high stiff-ness of solder joint to substrate ratio[7]. The initial strainenergy release rate of the solder joint should be higher thanthe copper sample because of the constraint of the solder in thejoint. Since strain energy release rate is equivalent to fracturetoughness, the ASTM standards can be used to characterizethe fracture toughness of the joint. Other researchers usedthis fracture mechanics approach as a comparative methodto rank the crack resistance of the solder joints under mode I[8–12]and I–III loadings[13]. Modes I–III loading of solderjoints evolved from similar work carried out on monolithicand homogeneous specimens[14–16]. The superposition ofmode III on mode I results in reduction of fracture toughnessin some materials while it has little effect or even leads to anincrease of fracture toughness in other materials. The reasonsfor these differences have been discussed in detail elsewhere[17]. In essence, these differences could be attributed to thevariability in the type of specimens used for mixed modetesting as well as the range of materials studied. In order tosimplify this complex question, a series of studies were con-ducted using modified compact tension specimens. Fracturemechanism maps, as shown inFig. 1, were then proposed toexplain the varying effects of the addition of a shear load ondifferent classes of materials[17,18].

Besides degree of mixed mode loading, other factorswhich influenced the fracture toughness of solder joints canb ionsa test-i erj gh-n ialsiC s butn sub-s l–tini isi usem nt oft y thes 7Pb

F leo

and Sn–3.5Ag solders under modes I and I–III loading andelucidate its fracture mechanisms.

2. Experimental procedure

Solders with the following composition were procuredfrom Litton Kester: 63 wt% Sn–37 wt% Pb and 96.5 wt%Sn–3.5 wt% Ag. Electroless nickel was plated on copper sub-strate with the plating solution available from commercialsources (i.e. enthone OMI). The thickness of the nickel plat-ing was measured by cross-sectioning the solder-substratematerials and observing the interfacial regions at five dif-ferent locations under scanning electron microscope (SEM).The average thickness of the plating was 3�m. Modifiedcompact tension specimens of the type illustrated inFig. 2were used for the tests. The area of contact for the solderjoint was ground with grit paper 320. Excess solder paste wasapplied evenly on both sides of the contact surfaces. Then,the copper strips were pressed together with a gap of 0.5 mm.This gap was maintained by high temperature-resistant kap-ton tape while fixtures held the nickel-plated copper piecestogether.

The samples were reflowed using a hot plate to a maximumtemperature of 215◦C for Sn–37Pb and 240◦C for Sn–3.5Agwith holding time of less than 5 min. The heating rate oft -i gs oledt l-d area.A fre-q rack.F thec ing.F nsilet n fort ache es toe cter-i ithE

t ons qua-t pedb ervesa jointsm nderd

racki e oft ces-s odef

f thea ing.

e divided into two broad categories of testing conditnd materials properties. Testing conditions refer to

ng temperature[10] and thickness of solder in the soldoint [10,19]. Materials properties refer to the surface rouess of substrate[10], type of substrates and solder mater

ncluding the type of intermetallics formation[8,9,11,20].urrently, most solder joints are made from copper leadickel alloy has been explored as one of the possibletitutes because of the slower formation rate of nickentermetallics[21]. The formation rate of intermetallicsmportant to predict the reliability of the solder joints beca

ost of the available lead-free solders have high contein [22]. Therefore, the aims of this research were to studolder joint made from nickel-plated substrate with Sn–3

ig. 1. JTc/Jic vs.Jic/σys for different materials for a crack inclination angf 45◦. Line is drawn only for clarity purpose.

he samples was between 25 and 30◦C/min with preheatng of 3 min at 120 and 160◦C for Sn–37Pb and Sn–3.5Aolder, respectively. The soldered samples were air coo room temperature at a rate of 7–8◦C/min. Excess soer was de-burred to have a clean surface at the jointcyclic compression–compression load of 500 N at a

uency of 20 Hz was used to generate a fatigue pre-catigue cyclic tests were stopped intermittently to checkrack length by external tele-microscope before continuracture tests were conducted with a servo-hydraulic te

esting machine at a displacement rate of 0.05 mm/mihe K fracture toughness test as per ASTM E399-90. Experimental condition was repeated at least three timnsure reproducibility. The fracture surface was chara

zed with SEM JEOL-JSM 5310 which was equipped wDX–LINK ISIS for phase identification.As mentioned earlier, no work has been carried ou

older joints under modes I–III loadings. Therefore, the eions for this mixed mode loadings I–III have been develoased on monolithic specimens. This approach merely ss a means to compare the fracture behaviour of solderade from different solders and substrate and loaded uifferent conditions.

In these modified compact tension specimens, the cnclination angleθ is defined as the angle between the planhe crack and the loading direction. The modifications neary to the ASTM E-399 standard in the case of mixed mracture have been discussed in detail elsewhere[23].

Of primary interest in these studies was the effect oddition of mode III loads to a system under mode I load

246 K.S. Siow, M. Manoharan / Materials Science and Engineering A 404 (2005) 244–250

Fig. 2. Modified compact tension specimens: (a) mode I loading and (b) mixed mode I–III loading. All dimensions in mm, solder = 0.5 mm.

This was achieved by studying two crack inclination angles,i.e. θ = 90◦ and 45◦. Whenθ = 90◦, the loading is pure modeI and at a crack inclination angle of 45◦, the modes I andIII loads imposed on the system are equal. If the imposedload isP, W the specimen width,B the specimen thickness,v the Poisson’s ratio andE is the Young’s modulus, then theresolved modes I and III components are[17]:

PI = P sinθ (1)

PIII = P cosθ (2)

The crack front width depends on the crack inclination anglethrough the relation:

Bnet = B

sinθ. (3)

Based on these expressions, values for the resolved stressintensity factorsKi andKiii can be defined[17]; “a” refers tothe crack length. The subscripts i and iii are used to denoteresolved components as opposed to the “pure” modes I andIII values, for reasons enumerated elsewhere[17].

Ki = PI

BW1/2f( a

W

)sin2 θ (4)

Kiii = PII

BW1/2f( a

W

)sinθ cosθ (5)

F oft alueso

J

J

T sum ot

Independentt-tests with significance level of 95% werecarried out to ensure that there were significant differencesbetween the different combination of loading conditions, sol-ders and substrates.

3. Results and discussions

The validity of using ASTM E399-90 to compute fracturetoughness of solder joints has been discussed in authors’ pre-vious report[24] and those of Pratt et al.[6]. The specimenthickness and the crack length must exceed 2.5(KQ/σys)2 toensure that plane strain conditions were maintained duringthe test (KQ is the tentative stress intensity whileσys is theyield strength of the solder joint). Bulk solder strength cannotbe used in the above computation because of the constraint ofsubstrates, presence of interfacial intermetallics and differentmicrostructure between bulk solders and solder joints. Yieldstrengths obtained from tensile or bend tests are not suit-able because these specimens suffer from premature failureor cracking. These solder joints fail in such a way that they donot represent yield strength. A likely solution comes from thecompression test. It has been reported that the compressiveyield strength of the solder is 200 MPa[6]. Substituting thisvalue into the above equation shows that the solder joint is inplane strain.

lf 99-9 than1 r tof ll outu thatt 13-8t out

or linear elastic fracture, theJ integral, which is a measurehe energy absorbed, can be then calculated from the vf K using the expressions:

ic = K2ic

(1 − υ2)

E(6)

iiic = K2iiic

(1 + υ)

E(7)

he total energy absorbed can then be expressed as ahe mode I and mode III energies, i.e.JTc = Jic+ + Jiiic .

f

The ratio of the maximum load (Pmax) to the conditionaracture load (PQ) must not exceed 1.10 as per ASTM E30. For all the tested specimens, the ratios are more.10, suggesting a possibility of extensive cracking prio

ailure or plasticity in the sample.Fig. 3 shows a typicaoading–displacement curve of the solder joint carriednderKic fracture toughness tests. Earlier tests showed

he solder joint could not be tested according to ASTM E89 because of unstable crack propagation.Fig. 4 shows a

ypical loading–unloading curve of the solder joint carried

K.S. Siow, M. Manoharan / Materials Science and Engineering A 404 (2005) 244–250 247

Fig. 3. K fracture toughness test for Sn–3.5Ag solder for nickel-plated cop-per substrate under mode I loading.

Fig. 4. J integral tests for Sn–37Pb solder joint under mode I loading.

underJ integral fracture tests as listed under ASTM E813-89.The results of the current study suggested thatKic fracturetoughness is a better choice to characterize the fracture tough-ness of a solder joint than theJ integral approach. The jointshows macroscopically linear elastic behaviour though when

analyzing the fracture surface, it shows extensive local plas-ticity (Figs. 9–12).

Results of previous work with bare copper substrate areplotted together with current nickel-plated substrate inFig. 5.According toFig. 5, Sn–37Pb solder joint has higher fracturetoughness than Sn–3.5Ag when loaded in tensile mode irre-spective of substrates. The current work did not show theinfluence of interfacial intermetallics as discussed by Frear’sgroup[8,9] because the fracture propagated through the bulksolder for all combination of solders and substrates. Instead,microstructure of the solders could have played a role in low-ering the fracture toughness of the solder joints.Figs. 6 and 7show the microstructure of Sn–37Pb and Sn–3.5Ag solderjoints with nickel-plated substrates. The thin nickel platingdissolved fully into the solder to create Ni–Sn intermetallics.EDX analysis also detected Cu–Sn intermetallics at the inter-facial regions because of reaction between underlying coppersubstrate and solders.

Since the cracks propagated through the weakest link,namely the solder joint, it appeared that the microstructureholds the key to understanding the lower fracture toughness ofthe Sn–3.5Ag solder joints. The surface feature of Sn–3.5Agsolder was frequently very rough and covered with largeneedle-like precipitates[25]. This surface roughness couldact as local stress concentrators which initiate cracks. It isbelieved that this precipitation is caused by the asymmetry oft in thiss larn en inF

ntsf nsilef r frac-t ickelp ter-m s. Ith os re

Fig. 5. Resolved stress intensity factor vs. crack inclination angle showing t nickel-substrate.

he phases present; Sn being the more dominant phaseolder will induce Ag to appear only in the form of acicueedles[26]. The presence of Ag-rich phases can be seig. 7.

In Fig. 5, it is shown that the Sn–3.5Ag solder joiabricated from nickel-plated substrates had higher teracture toughness than copper substrates despite similaure interfaces through the bulk solder. The absence of nlating resulted in higher formation rates of Cu–Sn inetallics in the solder joint made with copper substrateas been reported that Cu6Sn5 intermetallics can spall intolder during reflow[21,27]. Previously, intermetallics we

he difference between Sn–37Pb and Sn–3.5Ag for bare copper andplated

248 K.S. Siow, M. Manoharan / Materials Science and Engineering A 404 (2005) 244–250

Fig. 6. Cross-sectional SEM images of Sn–37Pb solder on nickel-plated substrate, showing the presence of nickel–tin and copper–tin intermetallicsat thebimetallic interface; a, copper substrate; b, solder; dark regions are Sn-rich phase and light regions are Pb-rich phase; back-scattered 1000×.

added into solder to improve its tensile strength[28,29] butin the current work, the distribution, size and shape of theseCu–Sn intermetallics could only serve as stress concentratorswhich deteriorate the toughness of the solder joint.

Fig. 5 also shows that the tensile fracture toughness ofSn–37Pb solder joints fabricated with copper substrates wascomparable with nickel-plated substrates in spite of the dif-ferences in the interfacial intermetallics. This result was not

F lated s tallicb

ig. 7. Cross-sectional SEM images of Sn–3.5Ag solder on nickel-p

imetallic interface; a, copper substrate; b, tin-rich phase; c, silver-rich phas

ubstrate, showing the presence of nickel–tin and copper–tin intermes at the

e; back-scattered mode 1000×.

K.S. Siow, M. Manoharan / Materials Science and Engineering A 404 (2005) 244–250 249

Fig. 8. ResolvedJic integral vs. crack inclination angle showing the dif-ference between Sn–37Pb and Sn–3.5Ag for bare copper and nickel-platedsubstrate.

surprising because the fracture propagated through the bulksolders regardless of substrates. This result contradicted withFrear et al. results which showed that fracture path willchange to interfacial intermetallics region irrespective of itsintermetallics thickness[20]. The Ni–Sn intermetallics isbrittle because its monoclinic crystal structure is unable todeform to allow the propagation of dislocations in the inter-metallics. The difference between their results and ours couldbe attributed to the different displacement rate of the frac-ture toughness tests and solder thickness of the samples. Thedisplacement rate of Frear and others’ experiments was 2.5times faster than the current work. The slower displacementrate transferred the fracture path to the solder materials. Thethickness of Frear’s solder was twice as thick as sample usedin current work. As shown elsewhere, thinner solder increasedthe constraint in the joint[19], and consequently, fractureoccurred at the interfacial regions.

It can be seen fromFig. 8that for both the solders studied,the energy to fracture under combined tensile-shear loadingis much lower than the energy to fracture under pure tensileloading for all combination of solders and substrates. Thefracture surfaces of the fractured specimens also revealed theeffect of shear.Figs. 9 and 10represent the fracture surfacesof the two solders under tensile loading whileFigs. 11 and 12show the effect of combined tensile-shear loading. Thefracture surfaces of the solders fractured under pure tensilel ixedm

nnotb ate-r byc hearl As ar samev cturem ws nessp lder

Fig. 9. Fracture surface of Sn–37Pb loaded under mode I loading showingequiaxed dimples for nickel-plated substrate.

Fig. 10. Fracture surface of Sn–3.5Ag loaded under mode I loading showingelongated dimples for nickel-plated substrate.

Fig. 11. Fracture surface of Sn–37Pb loaded under modes I–III loadingshowing elongated dimples for nickel-plated substrate.

oading show equiaxed dimples while those under mode loading show elongated and sheared dimples.Based on the foregoing discussion, the solder joint ca

e classified simply as linear elastic or elastic–plastic mials. In monolithic materials, brittle materials fractureleavage failure. Therefore, there is not much scope for s

ocalization because of its unstable crack propagation.esult, the mixed mode fracture toughness has about thealue as mode I fracture toughness, as shown in the fraechanism map inFig. 1. In ductile materials which sho

low stable ductile fracture, mixed mode fracture toughlays an important role. In the case of a solder joint, the so

250 K.S. Siow, M. Manoharan / Materials Science and Engineering A 404 (2005) 244–250

Fig. 12. Fracture surface of Sn–3.5Ag loaded under modes I–III loadingshowing elongated dimples for nickel-plated substrate.

is ductile in the vicinity of the crack front while the joint isbrittle macroscopically. These limitations not withstanding,this study suggested that the presence of mode III loadingreduces the fracture toughness of the joint and shear pro-vides an alternate fracture path. Under modes I–III loading,the total fracture toughness was lower than mode I fracturetoughness. This ratio of mixed mode to mode I fracture tough-ness suggested that the preferred mode of energy dissipationof these joints is shear.

4. Conclusions

Kic fracture toughness as per ASTM E399-90 has beenmodified and proposed to be a method to evaluate the sol-der joint under different loading conditions. Current studiesshowed that this standard can be used as a comparison methoto rank and compare the solder materials though some limi-tations exist about its validity.

Regardless of substrates, Sn–37Pb solder joint had higherfracture toughness than Sn–3.5Ag when loaded in ten-sile mode due to the less favourable microstructure in theSn–3.5Ag solder joint. During tensile loading, Sn–37Pb sol-der joints showed comparable fracture toughness on copperand nickel-plated substrates because of similar fracture pathon both substrates. In the case of Sn–3.5Ag, nickel-plateds barec u–Sni ate.

d tof teado

A

ch-n logy

Board (currently known as Agency for Science, Technologyand Research) for awarding NTU Postgraduate and NSTB-PTI Scholarship to him. KSS would also like to thank REPratt for kindly sending his journal papers as well as formalreports in the area of fracture toughness of solder joints.

References

[1] J.W. Hutchinson, Z. Suo, Adv. Appl. Mech. 29 (1991) 63–191.[2] S.H. Choi, B.G. Song, K.J. Kang, N.A. Fleck, Fatigue Fract. Eng.

Mater. Struct. 23 (2001) 1–13.[3] K.J. Kang, D.H. Kim, S.H. Choi, Int. J. Fract. 113 (2002) 195–212.[4] H. Nayeb-Hashemi, P. Yang, Int. J. Fatigue 23 (2001) S325–S335.[5] X.Q. Shi, H.L.J. Pang, X.R. Zhang, Microelectron. Reliab. 44 (2004)

841–852.[6] R.E. Pratt, E.I. Stromswold, D.J. Quesnel, J. Electron. Mater. 23

(1994) 375–381.[7] A. Buettner, Master’s Thesis, University of Rochester, 1992.[8] D.R. Frear, P.T. Vianco, Metall. Mater. Trans. A 25A (1994)

1509–1523.[9] D.R. Frear, J. Met. 48 (1996) 49–53.

[10] E.I. Stromswold, R.E. Pratt, D.J. Quesnel, J. Electron. Mater. 23(1994) 1047–1053.

[11] R.E. Pratt, E.I. Stromswold, D.J. Quesnel, IEEE CPMT Part A 19(1996) 134–141.

[12] R.E. Pratt, D.J. Quesnel, in: M.J. Cieslak, J.H. Perepezko, M.E.Glicksman (Eds.), The Metal Science of Joining, TMS Publication,Warrendale, 1992, pp. 201–210.

[ D.dings99,

[ 84)

[ tall.

[ . 39

[[[ 995)

[ teri-nal,

[[[ (18)

[ lec-logy

[[ .N.

lder

[ .H.an

[ uo,nfer-

266–

[ –14.

older joints displayed higher fracture toughness thanopper solder joint because of possible presence of Cntermetallics in the solder region of bare copper substr

Both substrate and solder alloy combination preferreail in the shear mode by fracture through the solder insf yielding though there were signs of local plasticity.

cknowledgements

KSS would like to express his gratitude to Nanyang Teological University and National Science and Techno

d

13] M. Manoharan, K.S. Siow, in: C.A. Volkert, A.H. Verbruggen,Brown (Eds.), Materials Research Society Symposium Procee(Mater. Reliab. Microelectron. IX) vol. 563, San Francisco, 19pp. 15–20.

14] M.T. Miglin, J.P. Hirth, A.R. Rosenfield, Res. Mech. 11 (1985–95.

15] J.G. Schroth, J.P. Hirth, R.G. Hoagland, A.R. Rosenfield, MeTrans. 18A (1987) 1061–1072.

16] M. Manoharan, J.P. Hirth, A.R. Rosenfield, Acta Metall. Mater(1991) 1203–1210.

17] M. Manoharan, Scr. Metall. Mater. 26 (1992) 1187–1192.18] M. Manoharan, S.V. Kamat, Int. J. Fract. 73 (1995) 41–R45.19] A.F. Skipor, S.V. Harren, J. Botsis, Eng. Fract. Mech. 52 (1

647–669.20] D.R. Frear, F.M. Hosking, P.T. Vianco, in: P.J. Singh (Ed.), Ma

als Developments in Microelectronic Packaging, ASM InternatioMetals Park, 1991, pp. 229–40.

21] K.N. Tu, K. Zeng, Mater. Sci. Eng. Rev. R34 (2001) 1–58.22] J. Glazer, Int. Mater. Rev. 40 (2) (1995) 65–93.23] M. Manoharan, J.P. Hirth, A.R. Rosenfield, J. Test. Eval. 18

(1990) 106.24] K.S. Siow, M. Manoharan, Proceedings of the First IPC/SMTA E

tronics Assembly Expo, Institute PC and Surface Mount TechnoAssociation, Providence, 1998, S19-3-1–S19-3-8.

25] M. McCormack, S. Jin, J. Met. 45 (1993) 36–40.26] J.W. Morris Jr., J.L. Freer Goldstein, Z. Mei, in: D.R. Frear, S

Burchett, H.S. Morgan, J.H. Lau (Eds.), The Mechanics of SoAlloy Interconnect, Van Nostrand Reinhold, NY, 1994, p. 7.

27] J.W. Morris Jr., D. Tribula, T.S.E. Summers, D. Grivas, in: JLau (Ed.), Solder Joint Reliability: Theory and Applications, VNostrand Reinhold, NY, 1991, p. 225.

28] S.M.L. Sastry, T.C. Peng, R.J. Lederich, K.L. Jerina, C.G. KProceedings of the Technical Programme Nepcon West Coence Cahners Exhibition Group Des Plains V 3, 1992, pp. 11277.

29] J.L. Marshall, J. Calderon, Solder Surf. Mt. Tech. 9/3 (1997) 11