On the effect of isotropic and anisotropic dissipative response functions with associated and non-associated flow on the inelastic behaviour of polymeric composites

TL;DR

This paper examines how isotropic and anisotropic dissipative response functions, with associated and non-associated flow rules, influence the inelastic behavior of fiber composites, using models validated against experimental data.

Contribution

It introduces a comparative analysis of isotropic and anisotropic response functions with associated and non-associated flow in composite materials.

Findings

Non-associated flow models better capture shear-dominated responses.

Anisotropic models improve accuracy over isotropic ones.

Model predictions align well with experimental results.

Abstract

This article investigates the effect of using isotropic and anisotropic plastic response functions in the analysis of the elastic-plastic response of unidirectional fibre composites on the meso-scale. Three model problems that use a Drucker-Prager-type pressure-dependent yield function are considered to simulate the non-linearities exhibited by a composite material. A further core ingredient is the analysis of a canonical and non-conventional constitutive structure, with respect to associated and non-associated flow response, where the use of latter is motivated by the physical inconsistencies induced by the former under shear dominated loads. These models are evaluated quantitatively by comparison to experimental data.