Endochronic theory, non-linear kinematic hardening rule and generalized plasticity: a new interpretation based on generalized normality assumption

TL;DR

This paper introduces a unified formulation of endochronic theory, non-linear kinematic hardening, and generalized plasticity using the concept of generalized normality, enabling better understanding of their interrelations.

Contribution

It provides a novel pseudo-potential-based formulation for these models, linking them through a common theoretical framework.

Findings

Unified pseudo-potential formulation for the models

Enhanced understanding of model relationships

New insights into model behaviors and properties

Abstract

A simple way to define the flow rules of plasticity models is the assumption of generalized normality associated with a suitable pseudo-potential function. This approach, however, is not usually employed to formulate endochronic theory and non-linear kinematic (NLK) hardening rules as well as generalized plasticity models. In this paper, generalized normality is used to give a new formulation of these classes of models. As a result, a suited pseudo-potential is introduced for endochronic models and a non-standard description of NLK hardening and generalized plasticity models is also provided. This new formulation allows for an effective investigation of the relationships between these three classes of plasticity models.