Relaxed incremental formulations for damage at finite strains including strain softening

  • Relaxation is a promosing technique to overcome mesh-dependency in computational damage mechanics originating from the non-convexity of an underlying incremental variational formulation. This technique does not require an internal length scale parameter. However, in case of damage formulations, for many years the decrease of stresses with an increase of strains, referred to as strain-softening, could not be modeled in the relaxed regime. This contribution discusses several possibilities of relaxation that lead to suitable models for stress- and strain-softening.

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Author:Maximilian Köhler, Timo NeumeierGND, Daniel PeterseimORCiDGND, Malte A. PeterORCiDGND, Daniel Balzani
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Parent Title (English):PAMM - Proceedings in Applied Mathematics and Mechanics
Place of publication:Weinheim
Year of first Publication:2023
Publishing Institution:Universität Augsburg
Release Date:2022/11/25
First Page:e202200297
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehr- und Forschungseinheit Angewandte Analysis
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Numerische Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY-NC 4.0: Creative Commons: Namensnennung - Nicht kommerziell (mit Print on Demand)