Spurious energy dissipation/generation in stiffness recovery models for elastic degradation and damage
type: Item
instance of: scholarly article
title: Spurious energy dissipation/generation in stiffness recovery models for elastic degradation and damage
zbMATH Open document ID: 0910.73049
DOI: 10.1016/0020-7683(95)00254-5
author: Ignacio Carol
author: Kaspar Willam
published in: International Journal of Solids and Structures
publication date: 1998-09-06T00:00:00Z
review text: The (lack of) energy conservation in the title problem is examined in terms of the spurious dissipation rate, which is developed for a relatively general class of recovery models. They include the positive-negative projection operators and the bimodular formulations with different stiffnesses for tension and compression. It is shown that under proportional loading in strain or stress, all these formulations are energy conservative. Under non-proportional loading, however, they are only conservative in conjunction with isotropic degradation, and they exhibit spurious dissipation generation when anisotropic degradation is considered and the load history involves rotation of principal directions.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 1162469
zbMATH Keywords: positive-negative projection operators
zbMATH Keywords: bimodular formulations
zbMATH Keywords: proportional loading
zbMATH Keywords: non-proportional loading
zbMATH Keywords: isotropic degradation
zbMATH Keywords: anisotropic degradation
MaRDI profile type: Publication
full work available at URL: 0020-7683(95)00254-5
OpenAlex ID: W2092546137
description: scientific article; zbMATH DE number 1162469