Much research has been done on Surface Mount Technology (SMT) using the Finite Element Method (FEM). Little of this, however, has employed fracture mechanics and/or continuum damage mechanics. In this study, we propose two finite element approaches incorporating fracture mechanics and continuum damage mechanics to predict time-dependent and temperature-dependent fatigue life of solder joints. For fracture mechanics, the J-integral fatigue formula, da/dN = C(δJ)m, is used to quantify fatigue crack growth and the fatigue life of J-leaded solder joints. For continuum damage mechanics, the anisotropic creep-fatigue damage formula with partially reversible damage effects is used to find the initial crack, crack growth path, and fatigue life of solder joints. The concept of partially reversible damage is especially novel and, based on laboratory tests we have conducted, appears to be necessary for solder joints undergoing cyclic loading. Both of these methods are adequate to predict the fatigue life of solder joints. The advantage of the fracture mechanics approach is that little computer time is required. The disadvantage is that assumptions must be made on the initial crack position and the crack growth path. The advantage of continuum damage mechanics is that the initial crack and its growth path are automatically evaluated, with the temporary disadvantage of requiring a lot of computer time.

1.
Bay, N., 1986, “Cold Welding: Part 1. Characteristics, Bonding Mechanisms, Bond Strength,” Metal Construction, pp. 369–372.
2.
Chaboche, J. L., 1990, “On the Description of Damage Included Anisotropic and Active/Passive Damage Effect,” Damage Mechanics in Engineering Material, JAW. Ju, D. Krajcinovic, and H. L. Schreyer, eds., ASME, New York, Nov. pp. 153–166.
3.
Chow
C. L.
, and
Wang
J.
,
1987
, “
An Anisotropic Theory of Elasticity for Continuum Damage Mechanics
,”
Inter. J. of Fract.
, Vol.
33
, pp.
3
16
.
4.
Chow
C. L.
, and
Lu
T. J.
,
1989
, “
A Normative Representation of Stress and Strain for Continuum Damage Mechanics
,”
Theor. and Appl. Fract. Mech.
, Vol.
12
, pp.
161
187
.
5.
Dowling, N. E. and Begley, J. A., 1976, “Fatigue Crack Growth During Gross Plasticity and the J-Integral. Mechanics of Crack Growth, Cracks and Fracture,” ASTMSTP 590, pp. 82–103.
6.
Gilbreath, W. P., and Sumsion, H. T., 1966, “Solid-Phase Welding of Metals Under High Vacuum,” J. Spacecraft, pp. 674–679.
7.
Hayhurst
D. R.
,
1972
, “
Creep Rupture Under Multi-Axial States of Stress
,”
J. Mech. Phys. Sol.
, Vol.
20
, pp.
381
390
.
8.
Ju
JAW.
,
1989
, “
On Energy-Based Coupled Elastoplastic Damage. Theories: Constitutive Modeling and Computational Aspects
,”
Int. J. Solids and Structures
, Vol.
25
, No.
7
, pp.
803
833
.
9.
Ju, S. H., 1993, “Creep-Fatigue Analysis of Solder Joints,” Ph.D. thesis, University of Wisconsin-Madison.
10.
Ju, S. H., Kuskowski, S., Sandor, B. I., and Plesha, M. E., 1993, “Creep-Fatigue Damage Analysis of Solder Joints,” First Symposium on Fatigue of Electronic Materials, ASTM, Atlanta, GA. in press.
11.
Lau, J. H., Rice, D. W., and Avery, P. A., 1986, “Nonlinear Analysis of Surface Mount Solder Joint Fatigue,” Proc. 1986 IEEE Intern. Electr. Manufacturing Technology Symp., pp. 173–184.
12.
Martin, D. E., 1965, “Plastic Strain Fatigue in Air and Vacuum,” Journal Basic Engineering, ASME, pp. 850–856.
13.
Murakami
S.
,
1983
, “
Notion of Continuum Damage Mechanics and Its Application to Anisotropic Creep Damage Theory
,”
ASME Journal Eng. Mat. and Techn.
, Vol.
105
, pp.
99
105
.
14.
Ozmat, B., 1990, “A Nonlinear Thermal Stress Analysis of Surface Mount Solder Joints,” Proc. 40th IEEE. Electr. Comp. Conf., pp. 959–972.
15.
Plesha
M. E.
,
1987
, “
Eigenvalue estimation for dynamic contact problem
,”
ASCE Journal Eng. Mechanics
, Vol.
113
, pp.
457
462
.
16.
Plesha
M. E.
, and
Ballarini
R.
,
1988
, “
Constitutive Model and Finite Element Procedure for Dilatant Contact Problems
,”
ASCE Journal Eng. Mechanics
, Vol.
115
, pp.
2649
2667
.
17.
Rabotnov, Y. N., 1969, Creep Problems in Structural Members, North-Holland, Amsterdam, p. 176–400.
18.
Rice
J. R.
,
1968
, “
A Path Independent Integral and Approximate Analysis of Strain Concentration by Notches and Cracks
,”
J. of Appl. Mech.
, Vol.
35
, pp.
379
386
.
19.
Sandor, B. I., “Life Prediction of Solder Joints: Engineering Mechanics Methods,” Solder Mechanics, D. R. Frear, W. B. Jones, and K. R. Kinsman, eds., A Publication of the Minerals, Metals & Materials Society, Warrendale, PA, pp. 363–419.
20.
Tervalon, M. J., 1990, “Local Mismatches in SM Solder Joint FE Analysis,” Proc. 40th IEEE Electr. Comp. Conf., pp. 954–957.
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