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A convex anisotropic damage model based on the compliance tensor

Görthofer, Johannes 1; Schneider, Matti 1; Hrymak, Andrew; Böhlke, Thomas ORCID iD icon 1
1 Institut für Technische Mechanik (ITM), Karlsruher Institut für Technologie (KIT)

Abstract:

This work is devoted to anisotropic continuum-damage mechanics in the quasi-static, isothermal, small-strain setting. We propose a framework for anisotropic damage evolution based on the compliance tensor as primary damage variable, in the context of generalized standard models for dissipative solids. Based on the observation that the Hookean strain energy density of linear elasticity is jointly convex in the strain and the compliance tensor, we design thermodynamically consistent anisotropic damage models that satisfy Wulfinghoff’s damage-growth criterion and feature a convex free energy. The latter property permits obtaining mesh-independent results on component scale without the necessity of introducing gradients of the damage field. We introduce the concepts of stress-extraction tensors and damage-hardening functions, implicitly describing a rigorous damage-analogue of yield surfaces in elastoplasticity. These damage surfaces may be combined in a modular fashion and give rise to complex damage-degradation behavior. We discuss how to efficiently integrate Biot’s equation implicitly, and show how to design specific stress-extraction tensors and damage-hardening functions based on Puck’s anisotropic failure criteria. ... mehr


Verlagsausgabe §
DOI: 10.5445/IR/1000135846
Veröffentlicht am 27.07.2021
Originalveröffentlichung
DOI: 10.1177/10567895211019065
Scopus
Zitationen: 14
Web of Science
Zitationen: 15
Dimensions
Zitationen: 17
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 01.01.2022
Sprache Englisch
Identifikator ISSN: 1056-7895, 1530-7921
KITopen-ID: 1000135846
Erschienen in International Journal of Damage Mechanics
Verlag SAGE Publications
Band 31
Heft 1
Seiten 43-86
Vorab online veröffentlicht am 02.07.2021
Schlagwörter Continuum damage mechanics, anisotropic damage model, compliance evolution, generalized standard material, convex dissipation potential, Puck damage functions
Nachgewiesen in Dimensions
Web of Science
Scopus
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