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A mean-field homogenization model for fiber reinforced composite materials in large deformation with plasticity

par Li, Anqi ;Remmers, Joris J.C.;Van Dommelen, Johannes A.W.;Massart, Thierry,Jacques ;Geers, Marc G.D.
Référence International journal of solids and structures, 113200
Publication Publié, 2025-01-13

Article révisé par les pairs

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Résumé :

In this paper, a novel mean-field homogenization (MFH) model for fiber reinforced composite materials is presented. The model idealizes the fiber reinforcement and matrix interaction as a series of layered two-phase composite inclusions, where deformation compatibility and stress equilibrium constraints are properly incorporated to capture a fiber reinforced material. The model is formulated in a large deformation setting with no restriction on the type of the underlying constitutive relations. The algorithm can be implemented as a user material in commercial FE codes. In this paper, we present an implementation in ABAQUS and the homogenization results are compared to direct numerical simulations (DNS). Several test cases are presented to demonstrate the ability of the model to capture the homogenized hyperelastic/elasto-plastic stress-strain behaviour of fibrous composites in different loading conditions.