A multiplicative finite strain formulation for void growth models using elastic correctors

TL;DR

This paper introduces a novel multiplicative finite strain formulation for void growth models that employs elastic correctors, enabling accurate modeling of large-strain, non-isochoric plastic deformation without elastic strain constraints.

Contribution

It presents a fully hyperelastic, kinematic approach using elastic correctors and the Kroner-Lee decomposition for large-strain plasticity modeling, exemplified with the GTN void growth rule.

Findings

The formulation handles large elastic strains without constraints.

It effectively models non-isochoric plastic deformation.

The implicit algorithm demonstrates robust implementation.

Abstract

The proposed work is a formulation for large-strain non-isochoric plastic deformation, using the GTN yield function as the void growth rule as an example. This formulation is fully hyperelastic and uses the Kroner-Lee multiplicative decomposition. It adopts the concept of elastic correctors, and thus, does not have any constraints on the amount of elastic strain or the form of elasto-plastic behaviours. In addition, the volumetric part of the plastic deformation is described with the corrector of the volumetric part of the elastic logarithmic strain. It offers a new and sound kinematic approach to deal with non-isochoric plasticity. We also use the GTN function as an example to demonstrate the use of the kinematic relation as well as the implementation of the implicit algorithm.