A model for predicting grain boundary cracking in polycrystalline viscoplastic materials including scale effects

International Journal of Fracture

Volumn 95, Issue 1-4, 1999, Pages 175-194

  Helms, K L E ^a   Allen, D H ^a   Hurtado, L D ^b  

^a Department of Electrical and Computer Engineering   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Cohesive zone; Crack propagation; Damage; Grain boundary fracture; Polycrystalline solids; Scale effects; Timetal 21S; Titanium; Viscoplasticity

Indexed keywords

ALGORITHMS; CONTINUUM MECHANICS; CRACK INITIATION; CRACK PROPAGATION; FINITE ELEMENT METHOD; FRACTURE MECHANICS; GRAIN BOUNDARIES; MATHEMATICAL MODELS; TITANIUM ALLOYS; VISCOPLASTICITY;

COHESIVE ZONE; DAMAGE; SCALING EFFECTS;

POLYCRYSTALLINE MATERIALS;

EID: 0033321878     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1007/978-94-011-4659-3_10     Document Type: Article

References (37)

1. Allen, D.H. (1991). Thermomechanical coupling in inelastic solids. Applied Mechanics Review 8, 361-373.
2. Allen, D.H. and Searcy, C.R. (1998). A micromechanical model for viscoelastic cohesive zones, submitted to International Journal of Fracture.
3. Allen, D.H., Jones, R.H. and Boyd, J.G. (1994). Micromechanical analysis of a continuous fiber metal matrix composite including the effects of matrix viscoplasticity and evolving damage. Journal of Mechanics and Physics of Solids 42(3), 502-529.
4. Allen, D.H., Foulk, J.W. and Helms, K.L.E. (1996). A model for predicting the effect of environmental degradation on damage evolution in metal matrix composites. Applications of Continuum Damage Mechanics to Fatigue and Fracture, Orlando, FL.
5. Arnold, S.M., Saleeb, A.F. and Castelli, M.G. (1996).A fully associative, nonlinear, kinematic, unified viscoplastic model for titanium-based matrices. Life Prediction Methodology for Titanium Matrix Composites, ASTM STP 1253 (Edited by W.S. Johnson, J.M. Larsen, and B.N. Cos), 231-256.
6. Ashby, M.F. (1983). Mechanisms of deformation and fracture. Advances in Applied Mechanics 23, 117-177.
7. Barenblatt, G.I. (1962). The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics 7, 55-129.
8. Chan, K.S., Bodner, S.R., and Lindholm, U.S. (1988). Phenomenalogical modeling of hardening and thermal recovery in metals. Journal of Engineering Materials and Technology, 1-8.
9. Chan, K.S., Bodner, S.R., Fossum, A.F. and Munson, D.E. (1997). A damage mechanics treatment of creep failure in rock salt. International Journal of Damage Mechanics 6, 121-152.
10. Chan, K.S., Brodsky, N.S., Fossum, A.F., Munson, D.E. and Bodner, S.R. (1997). Creep-induced cleavage fracture in WIPP salt under indirect tension. Journal of Engineering Materials and Technology 119, 393-400.
11. Christman, T., Needleman, A. and Suresh, S. (1989). An experimental and numerical study of deformation in metal-ceramic composites. Acta Metallurgica 37(11), 3029-3050.
12. Dugdale, D.S. (1960). Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids 8, 100-104.
13. Foulk, J.W., Helms, K.L.E. and Allen, D.H. (1996). Life prediction in continuous fiber metal matrix composites subjected to environmental degradation. Proceedings of the 11th Technical Conference of the American Society for Composites, Atlanta, GA, October 7-9.
14. 4 metal matrix composite, to appear in Mechanics and Materials.
15. Hertzberg, R.W. (1976). Deformation and Fracture Mechanics of Engineering Materials, John Wiley & Sons.
16. Knauss, W.G. and Losi, G.U. (1993). Crack propagation in a nonlinearly viscoelastic solid with relevance to adhesive bond failure. Journal of Applied Mechanics 60, 793-801.
17. Larsen, J.M., Russ, S.M. and Jones, J.W. (1993). Possibilities of pitfalls in aerospace applications of titanium matrix composites, in the proceedings of the NATO AGARD Conference on Characterization of Fibre Reinforced Titanium Metal Matrix Composites, Bordeaux, France.
18. Lissenden, C.J., Herakovich, C.T. and Pindera, M. (1996). Inelastic deformation of titanium matrix composites under multiaxial loading. Life Prediction Methodology for Titanium Matrix Composites, ASTM STP 1253 (Edited by W.S. Johnson, J.M. Larsen, and B.N. Cox), ASTM, 257-277.
19. Llorca, L., Needleman, A. and Suresh, S. (1991). An analysis of the effects of matrix void growth on deformation and ductility in metal-ceramic composites. Acta Metallurgica et Materialia 39(10), 2317-2335.
20. Majumdar, B.S. and Newaz, G.M. (1991). Thermomechanical fatigue of a quasi-isotropic metal matrix composite. Composite Materials: Fatigue and Fracture (Third Volume), ASTM STP 11 (Edited by T.K. O'Brien), 732-752.
21. Needleman, A. (1987). A continuum model for void nucleation by inclusion debonding. Journal of Applied Mechanics 54, 525-531.
22. Needleman, A. (1990). An analysis of tensile decohesion along an interface. Journal of Mechanics and Physics of Solids 38(3), 289-324.
23. Needleman, A. (1990). An analysis of decohesion along an imperfect interface. International Journal of Fracture 42, 21-40.
24. Neu, R.W. (1993). Nonisothermal material parameters for the Bodner-Parton model. In the proceedings of the ASME Winter Annual Meeting, New Orleans, LA.
25. Neu, R.W. and Bodner, S.R. (1993). Determination of the material constants of Timetal 21S for a constitutive model, internal report prepared for Wright Laboratory Materials Directorate, Wright-Patterson AFB, OH.
26. Nutt, S.R. and Needleman, A. (1987). Void nucleation at fiber ends in Al-SiC composites. Scripta Metallurgica 21, 705-710.
27. Rodin, G.J. (1995). Stress transmission in polycrystals with frictionless grain boundaries. Journal of Applied Mechanics 62, 1-6.
28. Schapery, R.A. (1986). A Micromechanical model for non-linear viscoelastic behavior of particle-reinforced rubber with distributed damage. Engineering Fracture Mechanics 25, 845-867.
29. Schapery, R.A. (1997). Thermoviscoelastic constitutive equations for polycrystalline ice. ASCE Journal of Cold Regions Engineering 2, 146-157.
30. Suresh, S. (1991). Fatigue of Materials, Cambridge University Press.
31. Tvergaard, V. (1990). Effect of fibre debonding in a whisker-reinforced metal. Materials Science and Engineering A125, 203-213.
32. Tvergaard, V. (1992). Effect of ductile particle debonding during crack bridging in ceramics. International Journal of Mechanical Science 34(8), 635-649.
33. Tvergaard, V. (1995). Fibre debonding and breakage in a whisker-reinforced metal. Materials Science and Engineering A190, 215-222.
34. Van der Burg, M.W.D. and Van der Giessen, E. (1994). Simulation of microcrack propagation in creeping polycrystals due to diffusive grain boundary cavitation. Applied Mechanics Review 47, 122-131.
35. Voyiadjis, G.Z. and Kattan, P.I. (1993). Local approach to damage in elasto-plastic metal matrix composites. International Journal of Damage Mechanics 2, 96-114.
36. Yoon, C. and Allen, D.H. (1998). Damage dependent constitutive behavior and energy release rate for a cohesive zone in a thermoviscoelastic solid, submitted to International Journal of Fracture.
37. Zuiker, J.R. and Sanders, B.P. (1995). Analysis of pinned joints in viscoplastic monolithic plates. Numerical Implementation and Application of Constitutive Models in the Finite Element Method. (Edited by J.A. Sherwood), American Society of Mechanical Engineers - Applied Materials Division, New York, 37-48.