A Geometrically Nonlinear Framework for Continuum Damage Mechanics

Menzel, A., Steinmann, P. and Carol, I. (2000) A Geometrically Nonlinear Framework for Continuum Damage Mechanics. In: European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, 11-14 Sept 2000, ISBN 9788489925700

Abstract

This contribution aims in the set-up of a framework for geometrically nonlinear continuum damage mechanics which allows for the description of damage by second order tensors. To this end, so called fictitious undamaged or rather microscopic configurations are considered which are related to the macroscopic configurations by linear tangent maps that allow for the interpretation as damage deformation gradients. The corresponding Finger tensors defined in the macroscopic configuration are then understood as damaged metrics for measuring the free energy for given strains. Thereby, the underlying motivation is provided by the hypothesis of strain energy equivalence between microscopic and macroscopic configurations. Based on the standard dissipative material approach the constitutive framework is completed by stresses, damage stresses, a damage condition and the associated evolution laws for the damage metric and the internal hardening variable. Finally, a simple prototype model problem is presented which allows for an efficient and accurate algorithmic treatment.

• Item Type: Conference Proceedings
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Menzel, A., Steinmann, P., and Carol, I.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
• ISBN: 9788489925700

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