The ubiquitous eutectic tin-lead (Sn–Pb) solder alloys are soon to be replaced with lead-free alternatives. In light of this transition, new computational tools for predicting the fatigue life of lead-free solders are required. A fatigue life prediction methodology was developed, based on stress-strain, creep, and isothermal fatigue data; the latter generated using a double lap-shear (DLS) test assembly. The proposed fatigue life prediction methodology builds on current practices in fatigue prediction for solder alloys, particularly the concepts of unpartitioned energy methods in finite element analysis (FEA) and continuum damage mechanics. As such, the current state of these fields is briefly discussed. Next, the global and local FEA simulations of the DLS test assembly are detailed. A correlation is then made between the empirical data and the FEA simulations. A general fatigue life prediction methodology is next described in detail. Finally, this methodology is tested and verified against the empirical data.

1.
Ku
,
A.
,
Ogunseitan
,
O.
,
Saphores
,
J. -D.
,
Shapiro
,
A.
, and
Schoenung
,
J. M.
, 2003, “
Lead-Free Solders: Issues of Toxicity, Availability and Impacts of Extraction
,”
53rd Electronic Components and Technology Conference (ECTC)
,
IEEE
,
New York
.
2.
Frear
,
D.
,
Grivas
,
D.
, and
Morris
,
J.
, 1988, “
A Microstructural Study of the Thermal Fatigue Failures of 60Sn–40Pb Solder Joints
,”
J. Electron. Mater.
0361-5235,
17
(
2
), pp.
171
180
.
3.
Frear
,
D. R.
,
Burchett
,
S. N.
, and
Neilsen
,
M. K.
, 1997, “
Life Prediction Modeling of Solder Interconnects for Electronic Systems
,”
ASME InterPack ‘97
, Kohula, HI.
4.
Frear
,
D. R.
,
Burchett
,
S. N.
,
Neilsen
,
M. K.
, and
Stephens
,
J. J.
, 1997, “
Microstructurally Based Finite Element Simulation of Solder Joint Behaviour
,”
Soldering Surf. Mount Technol.
0954-0911,
9
(
1
), pp.
39
42
.
5.
Burchett
,
S. N.
,
Neilsen
,
M. K.
,
Frear
,
D. R.
, and
Stephens
,
J. J.
, 1997, “
Computational Continuum Modeling of Solder Interconnects
,”
TMS Annual Meeting
, pp.
171
178
.
6.
Vianco
,
P. T.
,
Burchett
,
S. N.
,
Neilsen
,
M. K.
,
Rejent
,
J. A.
, and
Frear
,
D. R.
, 1999, “
Coarsening of the Sn–Pb Solder Microstructure in Constitutive Model-Based Predictions of Solder Joint Thermal Mechanical Fatigue
,”
J. Electron. Mater.
0361-5235,
28
(
11
), pp.
1290
1298
.
7.
Vianco
,
P. T.
,
Burchett
,
S. N.
,
Neilsen
,
M. K.
, and
Rejent
,
J. A.
, 2003, “
Computational Methodologies for Predicting Thermal Mechanical Fatigue in Soldered Interconnects
,”
International Brazing & Soldering Conference
.
8.
Wei
,
Y.
,
Chow
,
C. L.
,
Fang
,
H. E.
,
Neilsen
,
M. K.
,
Lim
,
T. J.
, and
Lu
,
W.
, 2001, “
Failure Analysis of Miniature Solder Specimen
,”
ASME International Mechanical Engineering Congress and Exposition Proceedings
, Vol.
2
, pp.
2307
2313
.
9.
Wei
,
Y.
,
Chow
,
C. L.
,
Neilsen
,
M. K.
, and
Fang
,
H. E.
, 2003, “
Failure Analysis of Solder Joints With a Damage-Coupled Viscoplastic Model
,”
Int. J. Numer. Methods Eng.
0029-5981,
56
(
14
), pp.
2199
2211
.
10.
Vianco
,
P. T.
,
Grazier
,
M. J.
,
Cotts
,
E.
, and
Lehman
,
L.
, 2005, Sandia National Laboratories, Albuquerque, NM and SUNY Binghamton, NY, unpublished.
11.
Andersson
,
C.
,
Lai
,
Z.
,
Liu
,
J.
,
Hiang
,
H.
, and
Yu
,
Y.
, 2005, “
Comparison of Isothermal Mechancical Fatigue Properties of Lead-Free Solder Joints and Bulk Solders
,”
Mater. Sci. Eng., A
,
394
, pp.
20
27
. 0921-5093
12.
Pang
,
J.
,
Xiong
,
B.
, and
Low
,
T.
, 2004, “
Comprehensive Mechanics Characterization of Lead-Free 95.5Sn–3.8Ag–0.7Cu Solder
,”
Micromaterials and Nanomaterials
,
3
, pp.
86
93
.
13.
Clech
,
J. -P.
, 2004, “
Lead-Free and Mixed Assembly Solder Joint Reliability Trends
,”
Proceedings of IPC/SMEMA APEX 2004 Conference
, Anaheim, CA, Feb. 21–26.
14.
Sandstrom
,
R.
,
Osterberg
,
J. -O.
, and
Nylen
,
M.
, 1993, “
Deformation Behavior During Low Cycle Fatigue Testing of 60Sn–40Pb Solder
,”
Mater. Sci. Technol.
,
9
, pp.
811
819
. 0267-0836
15.
Solomon
,
H.
, 1986, “
Fatigue of 60/40 Solder
,”
IEEE Trans. Compon., Hybrids, Manuf. Technol.
0148-6411,
9
(
4
), pp.
423
433
.
16.
Pierce
,
D. M.
,
Sheppard
,
S. D.
,
Vianco
,
P. T.
,
Regent
,
J. A.
, and
Grazier
,
J. M.
, 2008, “
Validation of a General Fatigue Life Prediction Methodology for Sn–Ag–Cu Lead-Free Solder Alloy Interconnects
,”
ASME J. Electron. Packag.
1043-7398,
130
(
1
),
011003
.
17.
Fossum
,
A. F.
,
Vianco
,
P. T.
,
Neilsen
,
M. K.
, and
Pierce
,
D. M.
, 2006, “
A Practical Viscoplastic Damage Model for Lead-Free Solder
,”
ASME J. Electron. Packag.
1043-7398,
128
(
1
), pp.
71
81
.
18.
Pierce
,
D. M.
,
Sheppard
,
S. D.
,
Fossum
,
A. F.
,
Vianco
,
P. T.
, and
Neilsen
,
M. K.
, 2008, “
Development of the Damage State Variable for a Unified Creep Plasticity Damage Constitutive Model of the 95.5Sn–3.9Ag–0.6Cu Lead-Free Solder
,”
ASME J. Electron. Packag.
1043-7398,
130
(
1
),
011002
.
19.
Anderson
,
T. L.
, 1995,
Fracture Mechanics: Fundamentals and Applications
,
CRC
,
Boca Raton, FL
.
20.
Fuchs
,
H. O.
, and
Stephens
,
R. I.
, 1983,
Metal Fatigue in Engineering
,
Wiley
,
New York
.
21.
Rice
,
R. C.
,
Society of Automotive Engineers
, and
Nelson
,
D. V.
, 1988,
Fatigue Design Handbook
,
Fatigue Design and Evaluation Committee, Society of Automotive Engineers
,
Warrendale, PA
.
22.
Nelson
,
D. V.
, 2005, personal communication, Stanford University, Stanford, CA.
23.
Burke
,
J. J.
,
Reed
,
N. L.
, and
Weiss
,
V.
, 1964, “
Fatigue: An Interdisciplinary Approach
,”
Proceedings of the Tenth Sagamore Army Materials Research Conference
, Sagamore Conference Center, Raquette Lake, NY,
Syracuse University Press
,
New York
.
24.
Liu
,
H. W.
, 1964, “
Fatigue Crack Propagation and Stresses and Strains in Vicinity of Crack
,”
Appl. Mater. Res.
0570-4847,
3
(
4
), pp.
229
237
.
25.
Dieter
,
G. E.
, 1976,
Mechanical Metallurgy
,
McGraw-Hill
,
New York
.
26.
Pang
,
J. H. L.
,
Xiong
,
B. S.
, and
Low
,
T. H.
, 2004, “
Low Cycle Fatigue Study of Lead Free 99.3Sn–0.7Cu Solder Alloy
,”
Int. J. Fatigue
0142-1123,
26
, pp.
865
872
.
27.
Liu
,
C. Z.
, and
Chen
,
J.
, 2007, “
Nanoindentation of Lead-Free Solders in Microelectronic Packaging
,”
Mater. Sci. Eng.
,
448
, pp.
340
344
. 0025-5416
28.
Lee
,
H. -T.
,
Lin
,
H. -S.
,
Lee
,
C. -S.
, and
Chen
,
P. -W.
, 2005, “
Reliability of Sn–Ag–Sb Lead-Free Solder Joints
,”
Mater. Sci. Eng.
,
407
, pp.
36
44
. 0025-5416
29.
Jonnalagadda
,
K.
,
Qi
,
F.
, and
Liu
,
J.
, 2004, “
Mechanical Fatigue Reliability of PBGA Assemblies With Lead-Free Solder and Halogen-Free PCBs
,”
2004 Inter Society Conference on Thermal Phenomena
.
30.
Chen
,
W. -M.
,
McCloskey
,
P.
, and
O'Mathuna
,
S. C.
, 2006, “
Isothermal Aging Effects on the Microstructure and Solder Bump Shear Strength of Eutectic Sn37Pb and Sn3.5Ag Solders
,”
Microelectron. Reliab.
,
46
, pp.
896
904
. 0026-2714
31.
Castello
,
T.
,
Rooney
,
D.
, and
Shangguan
,
D.
, 2005, “
Failure Analysis Techniques for Lead Free Solder Joints
,”
International Symposium for Testing and Failure Analysis
, San Jose, CA.
32.
Kim
,
D. -H.
,
Elenius
,
P.
, and
Barrett
,
S.
, 2002, “
Solder Joint Reliability and Characteristics of Deformation and Crack Growth in Sn–Ag–Cu Versus Eutectic Sn–Pb on a WLP in a Thermal Cycling Test
,”
IEEE Trans. Electron. Packag. Manuf.
,
25
(
2
), pp.
84
90
. 1521-334X
33.
Ratchev
,
P.
,
Vandevelde
,
B.
, and
De Wolf
,
I.
, 2004, “
Reliability and Failure Analysis of Sn–Ag–Cu Solder Interconnects for PSGA Packages on Ni/Au Surface Finish
,”
IEEE Trans. Device Mater. Reliab.
,
4
(
1
), pp.
5
10
. 1530-4388
34.
Chen
,
H. T.
,
Wang
,
C. Q.
, and
Li
,
M. Y.
, 2006, “
Numerical and Experimental Analysis of the Sn3.5Ag0.75Cu Solder Joint Reliability Under Thermal Cycling
,”
Microelectron. Reliab.
,
46
, pp.
1348
1356
. 0026-2714
35.
Lau
,
J.
,
Hoo
,
N.
,
Horsley
,
R.
,
Smetana
,
J.
,
Shangguan
,
D.
,
Dauksher
,
W.
,
Love
,
D.
,
Menis
,
I.
, and
Sullivan
,
B.
, 2004, “
Reliability Testing and Data Analysis of Lead-Free Solder Joints for High-Density Packages
,”
Soldering Surf. Mount Technol.
0954-0911,
16
(
2
), pp.
46
68
.
36.
Lau
,
J.
,
Hoo
,
N.
,
Horsley
,
R.
,
Smetana
,
J.
,
Shangguan
,
D.
,
Dauksher
,
W.
,
Love
,
D.
,
Menis
,
I.
, and
Sullivan
,
B.
, 2004, “
Failure Analysis of Lead-Free Solder Joints for High-Density Packages
,”
Soldering Surf. Mount Technol.
0954-0911,
16
(
2
), pp.
69
76
.
37.
Zahn
,
B. A.
, 2003, “
Solder Joint Fatigue Life Model Methodology of 63Sn37Pb and 95.5Sn4Ag0.5Cu Materials
,”
2003 Electronic Components and Technology Conference
.
38.
Yeo
,
A.
,
Lee
,
C.
, and
Pang
,
J. H. L.
, 2003, “
Solder Joint Reliability Modeling of 96.5Sn/3.5Ag Flip Chip Bumps Under Temperature Cycling Condition
,”
2003 Electronics Packaging Technology Conference
.
39.
Pang
,
J. H. L.
,
Yeo
,
A.
,
Low
,
T. H.
, and
Che
,
F. X.
, 2004, “
Lead-Free 96.5Sn-3.5Ag Flip Chip Solder Joint Reliability Analysis
,”
2004 Inter Society Conference on Thermal Phenomena
.
40.
Pang
,
J. H. L.
,
Low
,
T. H.
, and
Xiong
,
B. S.
, 2004, “
Lead-Free 95.5Sn–3.8Ag–0.7Cu Solder Joint Reliability Analysis for Micro-BGA Assembly
,”
2004 Inter Society Conference on Thermal Phenomena
.
41.
Yeo
,
A.
,
Lee
,
C.
, and
Pang
,
J. H. L.
, 2004, “
Flip Chip Solder Joint Fatigue Analysis Using 2D and 3D FE Models
,”
Fifth International Conference on Thermal and Mechanical Simulation and Experiments in Micro-Electronics and Micro-Systems, EuroSim2004
.
42.
Shin
,
Y. -E.
,
Lee
,
K. -W.
,
Chang
,
K. -H.
,
Jung
,
S. -B.
, and
Jung
,
J. P.
, 2001, “
Prediction of Thermal Fatigue Life of Lead-Free BGA Solder Joints by Finite Element Analysis
,”
Mater. Trans.
,
42
(
5
), pp.
809
813
. 1345-9678
43.
Lau
,
J.
,
Lee
,
R.
, and
Shangguan
,
D.
, 2004, “
Thermal Fatigue-Life Prediction of Lead-Free Solder Joints
,”
2004 ASME International Mechanical Engineering Congress and Exposition
, Anaheim, CA.
44.
Guédon-Gracia
,
A.
,
Roux
,
P.
,
Woirgard
,
E.
, and
Zardini
,
C.
, 2005, “
Reliability Analysis of Lead-Free BGA Assemblies Linking FE Simulations and Experimental Results
,”
Sixth International Conference on Thermal, Mechanical and Multiphysics Simulation and Experiments in Micro-Electronics and Micro-Systems, EuroSimE 2005
.
45.
Andersson
,
K.
,
Perttula
,
A.
,
Salmela
,
O.
,
Särkkä
,
J.
, and
Tammenmaa
,
M.
, 2005, “
Measurement of Acceleration Factor for Lead-Free Solder (SnAG3.8Cu0.7) in Thermal Cycling Test of BGA Components and Calibration of Lead-Free Solder Model for Life Prediction by Finite Element Analysis
,”
Sixth International Conference on Thermal, Mechanical and Multiphysics Simulation and Experiments in Micro-Electronics and Micro-Systems, EuroSimE 2005
.
46.
Chawla
,
N.
, and
Sidhu
,
R.
, 2006, “
Microstructure-Based Modeling of Deformation in Sn-Rich (Pb-Free) Solder Alloys
,”
J. Mater. Sci.: Mater. Electron.
,
18
(
1–3
), pp.
175
189
. 0957-4522
47.
Darveaux
,
R.
, 1993, “
Crack Initiation and Growth in Surface Mount Solder Joints
,”
ISHM 25th International Symposium on Microelectronics
.
48.
Clech
,
J. -P.
,
Manock
,
J. C.
,
Noctor
,
D. M.
,
Bader
,
F. E.
, and
Augis
,
J. A.
, 1993, “
Comprehensive Surface Mount Reliability Model Covering Several Generations of Packaging and Assembly Technology
,”
IEEE Trans. Compon., Hybrids, Manuf. Technol.
0148-6411,
16
(
8
), pp.
949
960
.
49.
Lau
,
J. H.
, 1995,
Ball Grid Array Technology
,
McGraw-Hill
,
New York
.
50.
Darveaux
,
R.
, 1997, “
Solder Joint Fatigue Life Model
,”
TMS Annual Meeting
, pp.
213
218
.
51.
Riebling
,
J.
, and
Brillhardt
,
M.
, 2000, “
FEA Reliability Assessment Methodology Investigation to Improve Prediction Accuracy
,”
SMTA 2000
.
52.
Gu
,
Y.
,
Nakamura
,
T.
,
Chen
,
W. T.
, and
Cotterell
,
B.
, 2001, “
Interfacial Delamination Near Solder Bumps and UBM in Flip-Chip Packages
,”
ASME J. Electron. Packag.
1043-7398,
123
(
3
), pp.
295
301
.
53.
Chow
,
C. L.
, and
Lu
,
T. J.
, 1989, “
Normative Representation of Stress and Strain for Continuum Damage Mechanics
,”
Theor. Appl. Fract. Mech.
,
12
(
2
), pp.
161
187
. 0167-8442
54.
Chow
,
C. L.
, and
Wang
,
J.
, 1987, “
Anisotropic Theory of Elasticity for Continuum Damage Mechanics
,”
Int. J. Fract.
0376-9429,
33
(
1
), pp.
3
16
.
55.
Ju
,
J. W.
, 1989, “
On Energy-Based Coupled Elastoplastic Damage Theories. Constitutive Modeling and Computational Aspects
,”
Int. J. Solids Struct.
0020-7683,
25
(
7
), pp.
803
833
.
56.
Murakami
,
S.
, 1983, “
“Notion of Continuum Damage Mechanics and Its Application to Anisotropic Creep Damage Theory
,”
ASME J. Eng. Mater. Technol.
,
105
(
2
), pp.
99
105
. 0094-4289
57.
Bodner
,
S. R.
, and
Chan
,
K. S.
, 1986, “
Modeling of Continuum Damage for Application in Elastic-Viscoplastic Constitutive Equations
,”
Eng. Fract. Mech.
0013-7944,
25
(
5–6
), pp.
705
712
.
58.
Bodner
,
S. R.
, 1985, “
Evolution Equations for Anisotropic Hardening and Damage of Elastic-Viscoplastic Materials
,”
Plasticity Today: Modeling, Methods and Applications
,
Elsevier Applied Science
,
Udine, Italy
, pp.
471
482
.
59.
Hayhurst
,
D. R.
, 1972, “
Creep Rupture Under Multi-Axial States of Stress
,”
J. Mech. Phys. Solids
0022-5096,
20
(
6
), pp.
381
390
.
60.
Neilsen
,
M. K.
,
Burchett
,
S. N.
,
Stone
,
C. M.
, and
Stephens
,
J. J.
, 1996, “
A Viscoplastic Theory for Braze Alloys
,” Sandia Report No. SAND96-0984.
61.
Darveaux
,
R.
, 2002, “
Effect of Simulation Methodology on Solder Joint Crack Growth Correlation and Fatigue Life Prediction
,”
ASME J. Electron. Packag.
1043-7398,
124
(
3
), pp.
147
154
.
62.
ANSYS
, 2003, ANSYS Release 8.0 Documentation.
63.
ANSYS
, 2004, ANSYS Help System, Release 8.1.
64.
Iannuzzelli
,
R.
, 1993, “
Predicting Solder Joint Reliability—Model Validation
,”
Proceedings Electronic Components and Technology Conference
, pp.
839
851
.
65.
Syed
,
A.
, 2004, “
Accumulated Creep Strain and Energy Density Based Thermal Fatigue Life Prediction Models for SnAgCu Solder Joints
,”
Proceedings Electronic Components and Technology Conference
, Vol
1
, pp.
737
746
.
66.
Vianco
,
P. T.
, 2003, personal communication, Sandia National Laboratories, Albuquerque, NM.
67.
Vianco
,
P. T.
,
Rejent
,
J. A.
, and
Kilgo
,
A. C.
, 2004, “
Creep Behavior of the Ternary 95.5Sn–3.9Ag–0.6Cu Solder—Part I: As-Cast Condition
,”
J. Electron. Mater.
0361-5235,
33
(
11
), pp.
1389
1400
.
You do not currently have access to this content.