Estimation of overall properties of random polycrystals with the use of invariant decompositions of Hooke's tensor

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Kowalczyk-Gajewska, K.

关键词: Creep;    Anisotropic material;    Polycrystalline material;    Invariant decompositions;   

DOI  :  10.1016/j.ijsolstr.2012.06.002

来源: Elsevier

【 摘 要 】

In the paper the theoretical analysis of bounds and self-consistent estimates of overall properties of linear random polycrystals composed of arbitrarily anisotropic grains is presented. In the study two invariant decompositions of Hooke's tensors are used. The applied method enables derivation of novel expressions for estimates of the bulk and shear moduli, which depend on invariants of local stiffness tensor. With use of these expressions the materials are considered for which at the local level constraints are imposed on deformation or some stresses are unsustained. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

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