A theoretical and computational framework for anisotropic continuum damage mechanics at large strains

Menzel, A. and Steinmann, P. (2001) A theoretical and computational framework for anisotropic continuum damage mechanics at large strains. International Journal of Solids and Structures, 38(52), pp. 9505-9523. (doi: 10.1016/S0020-7683(01)00136-6)

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Abstract

The main objective of this work is the formulation and algorithmic treatment of anisotropic continuum damage mechanics at large strains. Based on the concept of a fictitious, isotropic, undamaged configuration an additional linear tangent map is introduced which allows the interpretation as a damage deformation gradient. Then, the corresponding Finger tensor - denoted as damage metric - constructs a second order, internal variable. Due to the principle of strain energy equivalence with respect to the fictitious, effective space and the standard reference configuration, the free energy function can be computed via push-forward operations within the nominal setting. Referring to the framework of standard dissipative materials, associated evolution equations are constructed which substantially affect the anisotropic nature of the damage formulation. The numerical integration of these ordinary differential equations is highlighted whereby two different schemes and higher order methods are taken into account. Finally, some numerical examples demonstrate the applicability of the proposed framework.

Item Type:Articles
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 of Solids and Structures
Publisher:Elsevier
ISSN:0020-7683
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