Saint‐Venant multi‐surface plasticity model in strain space and in stress resultants

Abstract

Purpose

To present a new constitutive model for capturing inelastic behavior of brittle materials.

Design/methodology/approach

The multi‐surface plasticity theory is employed to describe the damage‐induced mechanisms. An original feature in that respect concerns the multi‐surface criterion which limits the principle values of elastic strains, which is equivalent to Saint‐Venant plasticity model. The latter allows to represent the damage both in tension and in compression.

Findings

Provides a quite realistic description of cracking phenomena in brittle materials, with a very few parameters, leading to a very useful tool for analyzing practical engineering problems.

Originality/value

The model is recast in terms of stress resultants and employed within a flat shell elements in order to provide a very efficient tool for analysis of cellular structures. Moreover, a detailed description of the numerical implementation is given.

Citation

Colliat, J., Ibrahimbegović, A. and Davenne, L. (2005), "Saint‐Venant multi‐surface plasticity model in strain space and in stress resultants", Engineering Computations, Vol. 22 No. 5/6, pp. 536-557. https://doi.org/10.1108/02644400510603005