Bounds on the elastic moduli of statistically isotropic multicomponent materials and random cell polycrystals

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Chinh, Pham Duc

关键词: Effective elastic moduli;    Statistically isotropic multicomponent material;    Symmetric cell material;    Random cell polycrystal;    Three-point correlation parameter;   

DOI  :  10.1016/j.ijsolstr.2012.05.021

来源: Elsevier

【 摘 要 】

Minimum energy and complementary energy principles are used to derive the upper and lower bounds on the effective elastic moduli of statistically isotropic multicomponent materials in d (d = 2 or 3) dimensions. The trial fields, involving harmonic and biharmonic potentials, and free parameters to be optimized, lead to the bounds containing, in addition to the properties and volume proportions of the material components, the three-point correlation information about the microgeometries of the composites. The relations and restrictions among the three-point correlation parameters are explored. The upper and lower bounds are specialized to symmetric cell materials and asymmetric multi-coated spheres, which are optimal or even converge in certain cases. New bounds for random cell polycrystals are constructed with particular results for random aggregates of cubic crystals. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

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