Premium
On the rate‐depentent regularization for damage modeling
Author(s) -
Langenfeld Kai,
Junker Philipp,
Mosler Jörn
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800058
Subject(s) - regularization (linguistics) , isotropy , brittleness , evolution equation , simple (philosophy) , mathematics , point (geometry) , computer science , statistical physics , mathematical analysis , algorithm , physics , geometry , thermodynamics , artificial intelligence , quantum mechanics , philosophy , epistemology
A model framework for the analysis of isotropic quasi‐brittle damage, was recently presented in [1]. Within this paper, the model in [1] is significantly improved. To be more precise, and in contrast to [1], the novel model: (i) eliminates unnecessary model parameters, (ii) can be better interpreted from a physics point of view, (iii) can capture a fully softened state (zero stresses) and (iv) is characterized by a very simple evolution equation which (v) can be integrated fully implicitly and (vi) the resulting time discrete evolution equation can be solved analytically providing a numerically efficient closed form solution, cf. [2].