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A Study on the ‘Compatiblity Assumption’ of Contemporary Multiplicative Plasicity Models Cover

A Study on the ‘Compatiblity Assumption’ of Contemporary Multiplicative Plasicity Models

Open Access
|Jun 2019

Abstract

Contemporary multiplicative plasticity models are now generally accepted as “proper material models” for modelling plastic behaviour of deformable bodies within the framework of finite-strain elastoplasticity. The models are based on the assumptions that the intermediate configuration of the body is stress-free or locally unstressed, for which no plastic deformation exists that meets the conditions of compatibility. The assumption; however, has never really been questioned nor justified, but was rather taken as an axiom and therefore considered to be generally true. In this study, we take a critical look at the assumption from both, physical and mathematical points of view, in order to investigate whether contemporary multiplicative plasticity models are indeed continuum based and if there are alternatives to them.

DOI: https://doi.org/10.2478/scjme-2019-0015 | Journal eISSN: 2450-5471 | Journal ISSN: 0039-2472
Language: English
Page range: 15 - 26
Published on: Jun 28, 2019
Published by: Slovak University of Technology in Bratislava
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2019 Écsi Ladislav, Jerábek Róbert, Élesztős Pavel, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.