Geometrically non-linear anisotropic inelasticity based on fictitious configurations: Application to the coupling of continuum damage and multiplicative elasto-plasticity

Menzel, A. and Steinmann, P. (2003) Geometrically non-linear anisotropic inelasticity based on fictitious configurations: Application to the coupling of continuum damage and multiplicative elasto-plasticity. International Journal for Numerical Methods in Engineering, 56(14), pp. 2233-2266. (doi: 10.1002/nme.662)

Abstract

The objective of this contribution is the formulation and algorithmic treatment of a phenomenological framework to capture anisotropic, geometrically non-linear inelasticity. In addition to the intermediate configuration of multiplicative ] elasto-plasticity, we further introduce two microscopic configurations of Lagrangian and Eulerian type which characterize the so-called fictitious undamaged material. This kinematical framework enables us to apply two well-established postulates based on standard terminology in non-linear continuum mechanics. Concerning the free energy function, the postulate of strain energy equivalence is adopted and in view of the plastic dissipation potential the concept of effective stress is a natural outcome of the underlying kinematical assumptions. Finally, we focus on the integration technique for the class of obtained evolution equations and present numerical examples for a prototype model to underline the applicability of the proposed framework.

• Item Type: Articles
• Additional Information: Funding Information: Stiftung Rheinland‐Pfalz für Innovation. Grant Number: 8312‐38 62 61/378.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Menzel, A., and Steinmann, P.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: International Journal for Numerical Methods in Engineering
• Publisher: Wiley
• ISSN: 0029-5981
• ISSN (Online): 1097-0207

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