<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Slovak University of Technology in Bratislava

Faculty of Mechanical Engineering, Institute of Applied Mechanics and Mechatronics

Strojnícky časopis - Journal of Mechanical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Contemporary multiplicative plasticity models are now generally accepted as “proper material models” for modelling plastic behaviour of deformable bodies...

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

Published Online: Jun 28, 2019

Page range: 15 - 26

DOI: https://doi.org/10.2478/scjme-2019-0015

Keywords
Multiplicative plasticity models, finite-strain elastoplasticity, continuum theory, compatibility

© 2019 Écsi Ladislav et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jun 28, 2019

Page range: 15 - 26

DOI: https://doi.org/10.2478/scjme-2019-0015

KeywordsMultiplicative plasticity models, finite-strain elastoplasticity, continuum theory, compatibility

© 2019 Écsi Ladislav et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Multiplicative plasticity models, finite-strain elastoplasticity, continuum theory, compatibility