MATEC Web Conf.
Volume 300, 2019ICMFF12 - 12th International Conference on Multiaxial Fatigue and Fracture
|Number of page(s)||8|
|Section||LCF or Cyclic Behaviour|
|Published online||02 December 2019|
Regularizational approach for modeling ductile damage
Institute of Mechanics, TU Dortmund University, D-44227 Dortmund, Germany
2 Department of Materials Test Engineering, TU Dortmund University, D-44227 Dortmund, Germany
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It is well known, that modeling of material softening behavior can lead to ill-posed boundary value problems. This, in turn, leads to meshdependent results as far as the finite-element-method is concerned . Several solution strategies in order to regularize the aforementioned problem have been proposed in the literature, cf. . However, these strategies often involve high implementational effort. An approach which is very efficient froman implementational point of view is the so-called micromorphic approach by [3, 4]. This regularization technique includes gradients of internal variables implicitly into the framework, while preserving the original structure of the underlying local constitutive model. However, it is shown that a straightforward implementation of the micromorphic approach does not work for single-surface ductile damage models. By analyzing the respective equations, a modification of the micromorphic approach is proposed – first for a scalar internal variable, i.e., isotropic damage. Subsequently, the novel regularization method is extended to tensor valued damage, i.e., anisotropic material degradation.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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