A note on the derivation of rigid-plastic models

TL;DR

This paper rigorously derives rigid-plastic models as the limit case of elasto-plasticity when elastic modulus approaches infinity, clarifying the mathematical foundation of rigid-plastic behavior.

Contribution

It provides a rigorous mathematical derivation of rigid-plasticity from elasto-plasticity, establishing the limiting process as elasticity tends to infinity.

Findings

Rigid-plasticity can be obtained as a limit of elasto-plasticity.

The derivation clarifies the mathematical foundation of rigid-plastic models.

The approach rigorously justifies the use of rigid-plastic models in engineering.

Abstract

This note is devoted to a rigorous derivation of rigid-plasticity as the limit of elasto-plasticity when the elasticity tends to infinity.