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Published in ''Comput. Methods Appl. Mech. Engrg.'', Vol. 185, pp. 245-277, 2000
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doi: 10.1016/S0045-7825(99)00262-5
==Abstract==
In this work a generalized anisotropic elastoplastic constitutive model in
large deformation is presented. It is used for the analysis of
fiber-reinforced composite materials in the frame of the finite element
method. Mixing theory is applied to simulate the behavior of the
composite material. The elastic anisotropic behavior is simulated with classical elasticity theory, while
that of a non-proportional anisotropic solid is simulated by means of the
proposed generalized anisotropic elastoplastic model. The approach assumes the existence of a real
anisotropic space and of a fictitious isotropic space where a mapped
fictitious problem is solved. Both spaces are related by means of a linear
transformation using a fourth order tensor incorporating
complete information on the real anisotropic material. Details of
the numerical implementations of the model into a non-linear, large
deformations finite element solution scheme are provided. Examples of
application showing the performance of the model for the analysis of
fiber-reinforced composite materials are given.
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