Meso-macro modelling of anisotropic metallic composites within the framework of multisurface plasticity

Abstract

This paper discusses a rate-independent elastoplastic constitutive model for fibre reinforced composite materials. The type of composite material considered here is tungsten fibre reinforced copper (W/Cu). The constitutive framework is based on multisurface plasticity and is derived in a thermodynamically consistent manner. Plastic anisotropy is modelled based on the concept of structural tensors by developing three different yield functions and parameterized consistency conditions for three different loading scenarios in the plane of the composite sheet. Additionally, the evolution equations are integrated using the unconditionally stable backward Euler method. Also the commonly used elastic predictor-plastic corrector method is employed to update the internal variables. Furthermore, to determine the parameters of the constitutive model as well as for validation, a finite element model of a plain weave repeating unit cell (RUC) is set-up. Finally, the applicability of the constitutive model is demonstrated by performing a simulation of drawing a thin circular plate with a hole and a cylindrical roof subjected to a line load.