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- Title
A relaxation-based approach to damage modeling.
- Authors
Schwarz, Stephan; Junker, Philipp; Hackl, Klaus
- Abstract
Common material models that take into account softening effects due to damage have the problem of ill-posed boundary value problems if no regularization is applied. This condition leads to a non-unique solution for the resulting algebraic system and a strong mesh dependence of the numerical results. A possible solution approach to prevent this problem is to apply regularization techniques that take into account the non-local behavior of the damage [1]. For this purpose a field function is often used to couple the local damage parameter to a non-local level, in which differences between the local and non-local parameter as well as the gradient of the non-local parameter can be penalized. In contrast, we present a novel approach [2] to regularization that no longer needs a non-local level but directly provides mesh-independent results. Due to the new variational approach we are also able to improve the calculation times and convergence behavior. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
- Subjects
QUASIVARIETIES (Universal algebra); DAMAGE models; MECHANICAL models; STOCHASTIC convergence; STRAINS &; stresses (Mechanics)
- Publication
PAMM: Proceedings in Applied Mathematics & Mechanics, 2016, Vol 16, Issue 1, p173
- ISSN
1617-7061
- Publication type
Article
- DOI
10.1002/pamm.201610075