A finite-strain model for anisotropic viscoplastic porous media: II - Applications

European Journal of Mechanics, A/Solids

Volumn 28, Issue 3, 2009, Pages 402-416

  Danas, K ^a,b   Ponte Castaneda P ^a,b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

Constitutive model; Homogenization; Microstructure evolution; Porous media; Viscoplasticity

Indexed keywords

ANISOTROPIC MEDIA; CONSTITUTIVE MODELS; HOMOGENIZATION METHOD; MICROSTRUCTURE; POROUS MATERIALS; STRAIN; VISCOPLASTICITY;

APPROXIMATE RESULTS; EFFECTIVE BEHAVIORS; GENERAL LOADINGS; INSTANTANEOUS RESPONSE; LOADING CONDITION; MICRO-STRUCTURE EVOLUTIONS; MICROSTRUCTURAL CONFIGURATIONS; NONLINEAR HOMOGENIZATION;

LOADING;

EID: 60449093706     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2008.11.003     Document Type: Article

References (34)

1. Aravas N., and Ponte Castañeda P. Numerical methods for porous metals with deformation-induced anisotropy. Comput. Methods Appl. Mech. Engrg. 193 (2004) 3767-3805
2. Bao Y., and Wierzbicki T. On the fracture locus in the equivalent strain and stress triaxiality space. Int. J. Mech. Sci. 44 (2004) 1768-1786
3. Barsoum I., and Faleskog J. Rupture mechanisms in combined tension and shear-Experiments. Int. J. Solids Struct. 44 (2007) 1768-1786
4. Benzerga A.A. Micromechanics of coalescence in ductile fracture. J. Mech. Phys. Solids 50 (2002) 1331-1362
5. Budiansky B., Hutchinson J.W., and Slutsky S. Void growth and collapse in viscous solids. In: Hopkins H.G., and Sewell M.J. (Eds). Mechanics of Solids, The Rodney Hill 60th Anniversary Volume (1982), Pergamon Press Oxford 13-45
6. Danas K. Homogenization-based constitutive models for viscoplastic porous media with evolving microstructure. Ph.D. thesis, LMS, École Polytechnique. http://www.polymedia.polytechnique.fr/Center.cfm?Table=These
7. Danas K., Idiart M.I., and Ponte Castañeda P. A homogenization-based constitutive model for two-dimensional viscoplastic porous media. C. R. Mecanique 336 (2008) 79-90
8. Danas K., Idiart M.I., and Ponte Castañeda P. A homogenization-based constitutive model for isotropic viscoplastic porous media. Int. J. Solids Struct. 45 (2008) 3392-3409
9. Danas K., Idiart M.I., and Ponte Castañeda P. A homogenization-based constitutive model for two-dimensional viscoplastic porous media with evolving microstructure. In: Jeulin D., and Forest S. (Eds). Continuum Models and Discrete Systems (CMDS 11) (2008), Mines-Paris Tech, Paris 143-148
10. Danas K., and Ponte Castañeda P. A finite-strain model for viscoplastic anisotropic porous media: I - Theory. Eur. J. Mech. A/Solids 28 3 (2009) 387-401
11. Flandi L., and Leblond J.-B. A new model for porous nonlinear viscous solids incorporating void shape effects - I: Theory. Eur. J. Mech. A/Solids 24 (2005) 537-551
12. Flandi L., and Leblond J.-B. A new model for porous nonlinear viscous solids incorporating void shape effects - II: Numerical validation. Eur. J. Mech. A/Solids 24 (2005) 552-571
13. Fleck N.A., and Hutchinson J.W. Void growth in shear. Proc. R. Soc. Lond. A 407 (1986) 435-458
14. Gǎrǎjeu M., Michel J.-C., and Suquet P. A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids. Comput. Methods Appl. Mech. Engrg. 183 (2000) 223-246
15. Gilormini P., and Michel J.-C. Finite element solution of the problem of a spherical inhomogeneity in an infinite power-law viscous matrix. Eur. J. Mech. A/Solids 17 (1998) 725-740
16. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth. J. Engng. Mater. Technol. 99 (1977) 2-15
17. Kachanov L.M. Foundations of the Theory of Plasticity (1971), North-Holland, Amsterdam
18. Kailasam M., and Ponte Castañeda P. A general constitutive theory for linear and nonlinear particulate media with microstructure evolution. J. Mech. Phys. Solids 46 (1998) 427-465
19. Klöcker H., and Tveergard V. Growth and coalescence of non-spherical voids in metals deformed at elevated temperature. Int. J. Mech. Sciences 45 (2003) 1283-1308
20. Koplick J., and Needleman A. Void growth and coalescence in porous plastic solids. Int. J. Solids Struct. 24 (1988) 835-853
21. Lassance D., Fabrègue D., Delannay F., and Pardoen T. Micromechanics of room and high temperature fracture in 6xxx Al alloys. Progress in Materials Science 52 (2007) 62-129
22. Leblond J.-B., and Mottet G. A theoretical approach of strain localization within thin planar bands in porous ductile materials. C. R. Mecanique 336 (2008) 176-189
23. Lee B., and Mear M. Axisymmetric deformation of power-law solids containing a dilute concentration of aligned spheroidal voids. J. Mech. Phys. Solids 40 (1992) 1805-1836
24. Lubliner J. Plasticity Theory (1990), Macmillan Publishing Company
25. Michel J.-C., Moulinec H., and Suquet P. Effective properties of composite material with periodic microstructure: A computational approach. Comput. Methods Appl. Mech. Engrg. 172 (1999) 109-143
26. Michel J.-C., Lopez-Pamies O., Ponte Castañeda P., and Triantafyllidis N. Microscopic and macroscopic instabilities in finitely strained porous elastomers. J. Mech. Phys. Solids 55 (2007) 900-938
27. Nahshon K., and Hutchinson J.W. Modification of the Gurson model for shear failure. Eur. J. Mechanics A/Solids 27 (2008) 1-17
28. Ponte Castañeda P. The effective mechanical properties of nonlinear isotropic composites. J. Mech. Phys. Solids 39 (1991) 45-71
29. Ponte Castañeda P. Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I. Theory. J. Mech. Phys. Solids 50 (2002) 737-757
30. Ponte Castañeda P. Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II. Applications. J. Mech. Phys. Solids 50 (2002) 759-782
31. Ponte Castañeda P., and Zaidman M. Constitutive models for porous materials with evolving microstructure. J. Mech. Phys. Solids 42 (1994) 1459-1497
32. Rice J.R. The localization of plastic deformation. In: Koiter W.T. (Ed). Proceedings of the 14th International Congress of Theoretical and Applied Mechanics (1976), North-Holland Publishing Company 207-220
33. Tvergaard V. Shear deformation of voids with contact modelled by internal pressure. Int. J. Mech. Sciences 50 (2008) 1459-1465
34. Xue L. Constitutive modeling of void shearing effect in ductile fracture of porous materials. Engng. Fract. Mech. 75 (2008) 3343-3366