A hybrid method to update stress for perfect von-Mises plasticity coupled with Lemaitre damage mechanics

Abstract

Purpose

The purpose of this paper is to suggest a robust hybrid method for updating the stress and plastic internal variables in plasticity considering damage mechanics.

Design/methodology/approach

By benefiting the properties of the well-known explicit and implicit integrations, a new mixed method is derived. In fact, the advantages of the mentioned techniques are used to achieve an efficient integration.

Findings

The numerical studies demonstrate the high precision and robustness of the suggested algorithm.

Research limitations

The perfect von-Mises plasticity together with Lemaitre damage model is considered within the realm of small deformations.

Practical implications

Updating stress and plastic internal variables are of utmost importance in elastoplastic analyses of structures. The accuracy and efficiency of stress-updating methods significantly affect the final outcomes of nonlinear analyses.

Originality/value

The idea which is used to derive the hybrid method leads to an efficient integration method for updating the constitutive equations of the damage mechanics.

Citation

Tavoosi, M., Sharifian, M. and Sharifian, M. (2019), "A hybrid method to update stress for perfect von-Mises plasticity coupled with Lemaitre damage mechanics", Engineering Computations, Vol. 37 No. 2, pp. 705-729. https://doi.org/10.1108/EC-01-2019-0007