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An anisotropic elastoplastic model based on an isotropic formulation. (English) Zbl 0822.73006

Summary: This paper shows a generalization of the classic isotropic plasticity theory which can be applied to orthotropic or anisotropic materials. This approach assumes the existence of a real anisotropic space and other fictitious isotropic space where a mapped fictitious problem is solved. Both spaces are related by means of a linear transformation using a fourth order transformation tensor that contains all the information concerning the real anisotropic material. The paper describes the basis of the space transformation proposed and the expressions for the resulting secant and tangent constitutive equations. Also details of the numerical integration of the constitutive equation are provided. Examples of applications showing the good performance of the model for analysis of orthotropic materials and fibre-reinforced composites are given.

MSC:

74E10 Anisotropy in solid mechanics
74A20 Theory of constitutive functions in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
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