This paper presents a micro-mechanistic approach for modeling fatigue damage initiation due to cyclic creep in eutectic Pb-Sn solder. Damage mechanics due to cyclic creep is modeled with void nucleation, void growth, and void coalescence model based on micro-structural stress fields. Micro-structural stress states are estimated under viscoplastic phenomena like grain boundary sliding, its blocking at second-phase particles, and diffusional creep relaxation. In Part II of this paper, the developed creep-fatigue damage model is quantified and parametric studies are provided to better illustrate the utility of the developed model.
Issue Section:
Papers on Reliability
1.
Upadhyayula, K. S., 1998, Ph.D. Dissertation, Dept. of Mechanical Engineering, University of Maryland, College Park.
2.
Dasgupta
, A.
, Sharma
, P.
, and Upadhyayula
, K.
, 2001
, International Journal of Damage Mechanics
, 10
(2
), pp. 101
–132
.3.
Riedel, H., 1987, Fracture at High Temperature, Springer-Verlag, Heidelberg, Germany.
4.
Wong
, B.
, and Helling
, D. E.
, 1990
, ASME J. Electron. Packag.
, 112
, pp. 104
–109
.5.
Kuo
, C. G.
, Sastry
, S. M. L.
, and Jerina
, K. L.
, 1995
, Metall. Mater. Trans. A
, 26A
, pp. 3625
–3275
.6.
Raj
, R.
, and Ashby
, M. F.
, 1975
, Acta Metall.
, 23
, pp. 653
–666
.7.
Cocks
, A. C. F.
, and Ashby
, M. F.
, 1982
, “On Creep Fracture by Void Growth
,” Prog. Mater. Sci.
, 27
, pp. 189
–244
.8.
Needleman, A., and Rice, J. R., Acta Metall., 28, pp. 1315–1332.
9.
Giessen, E. V. D. and Tvergaard, V., 1990, Creep and Fracture of Engineering Materials and Structures, Wilshire, B. and Evans, R. W., ed., Elsevier, Swansea, pp. 169–178.
10.
Onck, P. R., 1998. High Temperature Fracture of Polycrystalline Materials, PhD thesis, Technical University Delft, Netherlands.
11.
Giessen
, E. V. D.
, and Tvergaard
, V.
, 1996
, Acta Metall.
, 44
, pp. 2697
–2710
.12.
Lee
, S. M.
, 1995
, Japanese Journal of Applied Physics, Part 2 (Letters)
, 34
(11A
), pp. 1475
–7
.13.
Sharma, P., 2000, Ph.D. dissertation, Dept. of Mechanical Engineering, University of Maryland, College Park.
14.
Sharma, P., and Dasgupta, A., 2001, subitted to ASME J. Eng. Mater. Technol.
15.
Dasgupta
, A.
, Sharma
, P.
, and Upadhyayula
, K.
, 2001
, “Micro-Mechanics of Fatigue Damage in Pb-Sn Solder. Due to Vibration and Thermal Cycling
,” Int. J. Damage Mech.
, 10
(2
), pp. 101
–132
.16.
Eshelby
, J. D.
, 1957
, Proc. R. Soc. London, Ser. A
, A241
, pp. 376
–396
.17.
Sharma, P., and Dasgupta, A., submitted to the Journal of Applied Physics.
18.
Mura, T., 1987, Micromechanics of Defects in Solids, Martinus Nijhoff, Hague, Netherlands.
19.
Moshcovidis
, Z. A.
, and Mura
, T.
, 1975
, ASME J. Appl. Mech.
, 42
, pp. 847
–852
.20.
Rodin
, G. J.
, and Hwang
, Y. L.
, 1991
, Int. J. Solids Struct.
, 27
, pp. 145
–159
.21.
Mori
, T.
, Okabe
, M.
, and Mura
, T.
, 1980
, Acta Metall.
, 28
, pp. 319
–325
.22.
Onaka
, S.
, Miura
, S.
, and Kato
, M.
, 1990
, Mechanics of Materials.
, 8
, pp. 285
–292
.23.
Chiu
, Y. P.
, 1977
, ASME J. Appl. Mech.
, 44
, pp. 587
–590
.24.
Ashby
, M. F.
, 1972
, “Boundary Defects and Atomistic Aspects of Boundary Sliding and Diffusional Creep
,” Surf. Sci.
, 31
(1
), pp. 498
–542
.25.
Raj
, R.
, and Ashby
, M. F.
, 1971
, Metallurgical Transactions
, 2
, pp. 113
–1127
.26.
Tanaka, M., and Iizuka, H., 1988, “A Micromechanics Model of the Initiation of Grain Boundary Crack in High Temperature Fatigue,” Low Cycle Fatigue, ASTM STP 942, H. D. Solomon, G. R., Halford, L. R., Kaisand, and B. N., Leis, eds., ASTM, Philadelphia, pp. 611–621.
27.
Chan
, K. S.
, Page
, R. A.
, Lankford
, J.
, 1986
, Acta Metall.
, 34
, pp. 2361
–2370
.28.
Crossman
, F. W.
, and Ashby
, M. F.
, 1975
, Acta Metall.
, 23
, pp. 425
–440
.29.
Argon, A. S., Chen, I. W., and Lau, C. W., 1980 “Intergranular Cavitation in Creep: Theory and Experiments,” Creep-Fatigue-Environment Interaction, Pelloux, R. M. and Stoloff, N. S., Eds.
30.
Lee
, S. M.
, and Stone
, D. S.
, 1994
, Scr. Metall.
, 30
, pp. 1213
–1218
.31.
Han, B., 1996, Exp. Mech., June, pp. 120–126.
32.
Hull
, D.
, and Rimmer
, D. E.
, 1959
, Philos. Mag.
, 4
, pp. 673
–687
.33.
Rice, J. R., 1980, “Three Dimensional Constitutive Relations and Ductile Fracture,” Proceedings of the IUTAM symposium, Nemat-Nasser, ed., pp. 173–184.
34.
Budiansky, B., Hutchinson, J. W., Slutsky, S., 1982, “Void Growth and Collapse in Viscous Solids,” H. G. Hopkins, M. J Sewell eds., Mechanics of Solids, The Rodney Hill 60th Anniversary Volume, Pergamon Press, Oxford.
35.
Tvergaard
, V.
, 1984
, “On the Creep Constrained Diffusive Cavitation of Grain Boundary Facets
,” J. Mech. Phys. Solids
, 32
, pp. 373
–393
.36.
Mori
, T.
, and Tanaka
, K.
, 1973
, “Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions
,” Acta Metall.
, 21
(5
), pp. 571
–574
.37.
Lin, S. C., 1994, “The Equivalent Inclusion Method in Elasticity and Composite Materials,” PhD dissertation submitted to Northwestern University, Ill.
38.
Hacke
, P. L.
, Sprecher
, A. F.
, and Conrad
, H.
, 1997
, “Microstructure Coarsening During Thermomechanical Fatigue of Pb-Sn Solder Joints
,” J. Electron. Mater.
, 26
, pp. 774
–782
.Copyright © 2002
by ASME
You do not currently have access to this content.
