Journal
JOURNAL OF ELASTICITY
Volume 85, Issue 2, Pages 153-173Publisher
SPRINGER
DOI: 10.1007/s10659-006-9076-y
Keywords
random composites; representative volume element; mesoscale bounds; homogenization theory; micromechanics; finite elasticity
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This paper presents a quantitative study of the size of representative volume element (RVE) of random matrix-inclusion composites based on a scale-dependent homogenization method. In particular, mesoscale bounds defined under essential or natural boundary conditions are computed for several nonlinear elastic, planar composites, in which the matrix and inclusions differ not only in their material parameters but also in their strain energy function representations. Various combinations of matrix and inclusion phases described by either neo-Hookean or Ogden function are examined, and these are compared to those of linear elastic types.
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