A non-linear hardening model based on two coupled internal hardening variables: formulation and implementation

TL;DR

This paper introduces a novel elasto-plasticity model with two coupled internal hardening variables, capturing non-linear stress-strain evolution and demonstrating cyclic behavior through numerical simulations.

Contribution

It presents a new formulation of an elasto-plasticity model with coupled hardening variables and discusses its numerical implementation and cyclic behavior simulation.

Findings

The model captures non-linear stress-strain hardening evolution.

Numerical simulations demonstrate cyclic behavior.

Implementation via standard return mapping algorithm.

Abstract

An elasto-plasticity model with coupled hardening variables of strain type is presented. In the theoretical framework of generalized associativity, the formulation of this model is based on the introduction of two hardening variables with a coupled evolution. Even if the corresponding hardening rules are linear, the stress-strain hardening evolution is non-linear. The numerical implementation by a standard return mapping algorithm is discussed and some numerical simulations of cyclic behaviour in the univariate case are presented.