Localization analysis via a geometrical method

International Journal of Solids and Structures

Volumn 33, Issue 1, 1996, Pages 99-119

  Benallal, Ahmed ^a   Comi, Claudia ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; GEOMETRY; LOADS (FORCES); MATERIALS; NUMERICAL METHODS; STRAIN RATE; STRESSES; TENSORS;

CONSTITUTIVE BEHAVIOR; CRITICAL HARDENING MODULUS; GEOMETRICAL METHOD; ISOTROPIC ELASTIC PROPERTIES; LOCALIZATION ANALYSIS; SPECTRAL PROPERTIES; STRAIN RATE JUMP;

ELASTICITY;

EID: 0030052097     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00018-6     Document Type: Article

References (22)

1. Benallal, A. (1992). Localisation phenomena in thermoelastoplasticity. Arch. Mech. 44, 15-29.
2. Benallal, A. and Comi, C. (1993). The role of deviatoric and volumetric non-associativities in strain localisation. Rend. Mat. Acc. Lincei 9, 279-290.
3. Benallal, A., Comi, C. and Lemaitre, J. (1992). Critical damage states at crack initiation. In Damage Mechanics and Localisation (Edited by J. W. Ju and K. C. Valanis). ASME AMD 142, 13-23.
4. Bigoni, D. and Hueckel, T. (1991). Uniqueness and localization. I. Associative and nonassociative elastoplasticity. Int. J. Solids Structures 28, 197-213.
5. Borré, G. and Maier, G. (1989). On linear versus nonlinear flow rules in strain localisation analysis. Meccanica 24, 36-41.
6. Chen, W. F. and Han, D. J. (1987). Plasticity for Structural Engineers. Springer, Berlin.
7. Comi, C., Berthaud, Y. and Billardon, R. (1995). On localisation in ductile-brittle materials under compressive loadings. Eur. J. Mech., A/Solids 14, 19-43.
8. Hill, R. (1962). Acceleration waves in solids. J. Mech. Phys. Solids 10, 1-16.
9. Hill, R. and Hutchinson, J. W. (1975). Bifurcation phenomena in the plane strain tension test. J. Mech. Phys. Solids 23, 239-264.
10. Hutchinson, J. W. and Tvergaard, V. (1981). Shear band formation in plane strain. Int. J. Solids Structures 17, 451-470.
11. Lemaitre, J. (1992). A Course on Damage Mechanics. Springer, Berlin.
12. Needleman, A. (1979). Non-normality and bifurcation in the plane strain tension-compression test. J. Mech. Phys. Solids 27, 231-254.
13. Ortiz, M., Leroy, Y. and Needleman, A. (1987). A finite element method for localized failure analysis. Comp. Meth. Appl. Mech. Engng 61, 189-214.
14. Ottosen, N. S. and Runesson, K. (1991a). Properties of discontinuous bifurcation solutions in elasto-plasticity. Int. J. Solids Structures 27, 401-421.
15. Ottosen, N. S. and Runesson, K. (1991b). Discontinuous bifurcations in a nonassociated Mohr material. Mech. Mater. 12, 255-265.
16. Perrin, G. and Leblond, J. B. (1993). Rudnicki and Rice's strain localisation analysis revisited. J. Appl. Mech 60, 842-846.
17. Rice, J. R. (1976). The localisation of plastic deformation. In Theoretical and Applied Mechanics (Edited by W. T. Koiter), pp. 207-220. North-Holland, Amsterdam.
18. Rice, J. R. and Rudnicki, J. W. (1980). A note on some features of the theory of localization of deformation. Int. J. Solids Structures 16, 597-605.
19. Rudnicki, J. W. and Rice, J. R. (1975). Conditions for the localization of deformation in pressure-sensitive dilatant materials. J. Mech. Phys. Solids 23, 371-394.
20. Runesson, K., Ottosen, N. S. and Peric, D. (1991). Discontinuous bifurcations of elastic plastic solutions in plane stress and plane strain. Int. J. Plasticity 7, 99-121.
21. Storen, S. and Rice, J. (1975). Localized necking in thin sheets. J. Mech. Phys. Solids 23, 421-441.
22. Vardoulakis, I. (1980). Shear band inclination and shear modulus of sand in biaxial tests. Int. J. Numer. Anal. Meth. Geomech. 4, 3-119.