Pressure-sensitive ductile layers - II. 3D models of extensive damage

International Journal of Solids and Structures

Volumn 44, Issue 16, 2007, Pages 5349-5368

  Chew, H B ^a   Guo, T F ^a   Cheng, L ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Discrete voids; Intervoid ligament; Polymers; Void growth; Void shape

Indexed keywords

ADHESIVES; COALESCENCE; CRACKS; PLASTIC DEFORMATION;

DISCRETE VOIDS; INTERVOID LIGAMENT; PLASTIC DILATANCY; VOID GROWTH; VOID SHAPE;

DUCTILITY;

EID: 33947656879     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.01.002     Document Type: Article

References (39)

1. Abaqus, 2002. Standard user's manual, vol. 1, Version 6.3.1. Hibbit, Karlsson and Sorensen, RI, USA.
2. Bandstra J.P., Koss D.A., Geltmacher A., and Everett R.K. Modeling void coalescence during ductile fracture of a steel. Materials Science and Engineering A 366 (2004) 269-281
3. Chai H. Observation of deformation and damage at the tip of cracks in adhesive bonds loaded in shear and assessment of a criterion for fracture. International Journal of Fracture 60 (1993) 311-326
4. Cheng L., and Guo T.F. Void interaction and coalescence in polymeric materials. International Journal of Solids and Structures 44 (2007) 1787-1808
5. Chew H.B., Guo T.F., and Cheng L. Vapor pressure and residual stress effects on failure of an adhesive film. International Journal of Solids and Structures 42 (2005) 4795-4810
6. Chew H.B., Guo T.F., and Cheng L. Vapor pressure and residual stress effects on mixed mode toughness of an adhesive film. International Journal of Fracture 134 (2005) 349-368
7. Chew H.B., Guo T.F., and Cheng L. Effects of pressure-sensitivity and plastic dilatancy on void growth and interaction. International Journal of Solids and Structures 43 (2006) 6380-6397
8. Chew H.B., Guo T.F., and Cheng L. Pressure-sensitive ductile layers - I. Modeling the growth of extensive damage. International Journal of Solids and Structures 44 (2007) 2553-2570
9. Chiang M.Y.M., and Chai H. Plastic deformation analysis of cracked adhesive bonds loaded in shear. International Journal of Solids and Structures 31 (1994) 2477-2490
10. Chowdhury R.S., and Narasimhan R. A finite element analysis of stationary crack-tip fields in a pressure sensitive constrained ductile layer. International Journal of Solids and Structures 37 (2000) 3079-3100
11. Drucker D.C., and Prager W. Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics 10 (1952) 157-165
12. Du J., Thouless M.D., and Yee A.F. Development of a process zone in rubber-modified epoxy polymers. International Journal of Fracture 92 (1998) 271-285
13. Du J., Thouless M.D., and Yee A.F. Effects of rate on crack growth in a rubber-modified epoxy. Acta Materialia 48 (2000) 3581-3592
14. G'Sell C., Hiver J.M., and Dahoun A. Experimental characterization of deformation damage in solid polymers under tension, and its interrelation with necking. International Journal of Solids and Structures 39 (2002) 3857-3872
15. Gao X., Faleskog J., and Shih C.F. Ductile tearing in part-through cracks: experiments and cell-model predictions. Engineering Fracture Mechanics 59 (1998) 761-777
16. Gao X., Wang T., and Kim J. On ductile fracture initiation toughness: Effects of void volume fraction, void shape and void distribution. International Journal of Solids and Structures 42 (2005) 5097-5117
17. Guo T.F., and Cheng L. Modeling vapor pressure effects on void rupture and crack growth resistance. Acta Materialia 50 (2002) 3487-3500
18. Guo T.F., and Cheng L. Vapor pressure and void size effects on failure of a constrained ductile film. Journal of the Mechanics and Physics of Solids 51 (2003) 993-1014
19. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part I - Yield criteria and flow rules for porous ductile media. Journal of Engineering Materials and Technology 99 (1977) 2-15
20. Hom C.L., and McMeeking R.M. Three-dimensional void growth before a blunting crack tip. Journal of the Mechanics and Physics of Solids 37 (1989) 395-415
21. Horstemeyer M.F., Matalanis M.M., Sieber A.M., and Botos M.L. Micromechanical finite element calculations of temperature and void configuration effects on void growth and coalescence. International Journal of Plasticity 16 (2000) 979-1015
22. Imanaka M., Nakamura Y., Nishimura A., and Iida T. Fracture toughness of rubber-modified epoxy adhesives: effect of plastic deformability of the matrix phase. Composites Science and Technology 63 (2003) 41-51
23. Jeong H.-Y., Li X.-W., Yee A.F., and Pan J. Slip lines in front of a round notch tip in a pressure-sensitive material. Mechanics of Materials 19 (1994) 29-38
24. Kambour R.P. A review of crazing and fracture in thermoplastics. Journal of Polymer Science 7 (1973) 1-154
25. Kim J., Gao X., and Srivatsan T.S. Modeling of crack growth in ductile solids: a three-dimensional analysis. International Journal of Solids and Structures 40 (2003) 7357-7374
26. Koplik J., and Needleman A. Void growth and coalescence in porous plastic solids. International Journal of Solids and Structures 24 (1988) 835-853
27. Moran B., and Shih C.F. A general treatment of crack-tip contour integrals. International Journal of Fracture 35 (1987) 363-371
28. Pardoen T., and Hutchinson J.W. An extended model for void growth and coalescence. Journal of the Mechanics and Physics of Solids 48 (2000) 2467-2512
29. Pardoen T., and Hutchinson J.W. Micromechanics-based model for trends in toughness of ductile metals. Acta Materialia 51 (2003) 133-148
30. Quinson R., Perez J., Rink M., and Pavan A. Yield criteria for amorphous glassy polymers. Journal of Materials Science 32 (1997) 1371-1379
31. Seppälä E.T., Belak J., and Rudd R.E. The onset of void coalescence during dynamic fracture of ductile metals. Physics Review Letters 93 24 (2004) Art No. 245503
32. Smelser, R.E., Becker, R., 1989. Abaqus user subroutines for material modeling. In: Abaqus User's Conference Proceedings, May 24-26, Stresa, Italy. Hibbitt, Karlsson & Sorensen, Inc., Providence, RI, pp. 207-226.
33. Subramanya H.Y., Viswanath S., and Narasimhan R. A three-dimensional numerical study of mode I crack-tip fields in pressure-sensitive plastic solids. International Journal of Solids and Structures 44 (2007) 1863-1879
34. Teh L.K., Teo M., Anto E., Wong C.C., Mhaisalkar S.G., Teo P.S., and Wong E.H. Moisture-induced failures of adhesive flip chip interconnects. IEEE Transactions on Components and Packaging Technologies 28 (2005) 506-516
35. Tvergaard V. Material failure by void growth to coalescence. Advances in Applied Mechanics 27 (1990) 83-151
36. Tvergaard V., and Hutchinson J.W. Two mechanisms of ductile fracture: void by void growth versus multiple void interaction. International Journal of Solids and Structures 39 (2002) 3581-3597
37. Utz M., Peng Q., and Nandagopal M. Athermal simulation of plastic deformation in amorphous solids at constant pressure. Journal of Polymer Science: Part B: Polymer Physics 42 (2004) 2057-2065
38. Varias A.G., Suo Z., and Shih C.F. Ductile fracture of a constrained metal foil. Journal of the Mechanics and Physics of Solids 39 7 (1991) 963-986
39. Xia L., and Shih C.F. Ductile crack growth - I. A numerical study using computational cells with microstructurally-based length scales. Journal of the Mechanics and Physics of Solids 43 2 (1995) 233-259