Representative volume element size for elastic composites: A numerical study

Journal of the Mechanics and Physics of Solids

Volumn 45, Issue 9, 1997, Pages 1449-1459

  Gusev, Andrei A ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

A. microstructures; B. constitutive behavior; B. elastic material; B. inhomogeneous material; C. numerical algorithms

Indexed keywords

ALGORITHMS; COMPUTER SOFTWARE; ELASTICITY; FINITE ELEMENT METHOD; INCLUSIONS; ITERATIVE METHODS; MICROSTRUCTURE; MONTE CARLO METHODS;

CONSTANT STRAIN TETRAHEDRA DISPLACEMENT BASED FINITE ELEMENTS; INHOMOGENEOUS MATERIALS; PERCUS YEVICK HARD SPHERE STATISTICS;

COMPOSITE MATERIALS;

EID: 0031235429     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(97)00016-1     Document Type: Article

References (6)

1. Drugan, W. J. and Willis, J. R. (1996) A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. J. Mech. Phys. Solids 44, 497-524.
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3. Huet, C. (1990) Application of variational concepts to size effects in elastic heterogeneous bodies. J. Mech. Phys. Solids 38, 813-843.
4. Percus, J. K. and Yevick, G. J. (1958) Analysis of classical statistical mechanics by means of collective coordinates. Phys. Rev. 110, 1-13.
5. Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T. (1988) Numerical Recipes, Ch. 10. Cambridge University Press, Cambridge.
6. Wertheim, M. S. (1963) Exact solution of the Percus-Yevick integral equation for hard spheres. Phys. Rev. Lett. 10, 321-323.