On discontinuous strain fields in finite elastostatics

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:43

Article

Lazopoulos, KA

关键词: continuum mechanics;    large deformations;    stability;    bifurcation;    singularities;    two-phase strain;    Maxwell's sets;   

DOI  :  10.1016/j.ijsolstr.2005.03.009

来源: Elsevier

【 摘 要 】

A general method for the study of piece-wise homogeneous strain fields in finite elasticity is proposed. Critical homogeneous deformations, supporting strain jumping, are defined for any anisotropic elastic material under constant Piola-Kirchhoff stress field in three-dimensional elasticity. Since Maxwell's sets appear in the neighborhood of singularities higher than the fold, the existence of a cusp singularity is a sufficient condition for the emergence of piece-wise constant strain fields. General formulae are derived for the study of any problem without restrictions or fictitious stress-strain laws. The theory is implemented in a simple shearing plane strain problem. Nevertheless, the procedure is valid for any anisotropic material and three-dimensional problems. (c) 2005 Elsevier Ltd. All rights reserved.

【 授权许可】

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