The finite deformation of nonlinear composite materials - II. evolution of the microstructure

International Journal of Solids and Structures

Volumn 33, Issue 9, 1996, Pages 1287-1303

  Zaidman, M ^a   Ponte Castaneda P ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; INCLUSIONS; LOADS (FORCES); MATHEMATICAL MODELS; MICROSTRUCTURE; PLASTICITY; STRAIN; STRESS ANALYSIS; VISCOSITY;

TWO-PHASE COMPOSITES;

COMPOSITE MATERIALS;

EID: 0030126536     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00100-X     Document Type: Article

References (16)

1. Bilby, B. A. and Kolbuszewski, M. L. (1977). The finite deformation of an inhomogeneity in two-dimensional slow viscous incompressible flow. Proc. R. Soc. Lond. A 355, 335-353.
2. Bilby, B. A., Eshelby, J. D. and Kundu, A. K. (1975). Change in shape of a viscous ellipsoidal region embedded in a slowly deforming matrix having a different viscosity. Techtonophysics 28, 265-274.
3. Bishop, J. F. W. and Hill, R. (1951). A theory of the plastic distorsion of a polycrystalline aggregate under combined stresses. Phil. Mag. 42, 414-427.
4. Eshelby, J. D. (1957). The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. Lond. A 241, 376-396.
5. Hashin, Z. and Shtrikman, S. (1963). A variational approach to the theory of the elastic behavior of multiphase materials. J. Mech. Phys. Solids 11, 127-140.
6. Hill, R. (1965). Continuum micromechanics of elastoplastic polycrystals. J. Mech. Phys. Solids 13, 89-101.
7. Howard, I. C. and Brierley, P. (1976). On the finite deformation of an inhomogeneity in a viscous liquid. Int. J. Engng Sci. 14, 1151-1159.
8. Ponte Castañeda, P. (1991). The effective mechanical properties of nonlinear isotropic solids. J. Mech. Phys. Solids 39, 45-71.
9. Ponte Castañeda, P. (1992). New variational principles in plasticity and their application to composite materials. J. Mech. Phys. Solids 40, 1757-1788.
10. Ponte Castañeda, P. and deBotton, G. (1992). On the homogenized yield strength of two-phase composites. Proc. R. Soc. Lond. A 438, 419-431.
11. Ponte Castañeda, P. and Zaidman, M. (1994). Constitutive models for porous materials with evolving microstructure. J. Mech. Phys. Solids 42, 1459-1497.
12. Ponte Castañeda, P. and Zaidman, M. (1996). The finite deformation of nonlinear composite materials - I. Instantaneous constitutive relations. Int. J. Solids Structures 33, 1271-1286.
13. Rice, J. R. (1976). The localization of plastic deformation. In Proceedings of the \4th International Congress of Theoretical and Applied Mechanics (Edited by W. T. Koiter), p. 20. North-Holland, Amsterdam.
14. Willis, J. R. (1977). Bounds and self-consistent estimates for the overall moduli of anisotropic composites. J. Mech. Phys. Solids 25, 185-202.
15. Willis, J. R. (1978). Variational principles and bounds for the overall properties of composites. In Continuum Models for Discrete Systems (Edited by J. W. Provan), pp. 185-215. University of Waterloo Press.
16. Zaidman, M. (1994). Composite materials with evolving microstructures. Ph.D. Thesis, Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania.