E101-03-1 - Forschungsgruppe Computational Mathematics in Engineering
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Journal:
Advances in Calculus of Variations
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ISSN:
1864-8258
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Date (published):
6-Jan-2022
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Number of Pages:
14
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Publisher:
WALTER DE GRUYTER GMBH
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Peer reviewed:
Yes
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Keywords:
brittle fracture; compactness; Generalized functions of bounded deformation
en
Abstract:
We prove a compactness result in GBD which also provides a new proof of the compactness theorem in GSBD, due to Chambolle and Crismale. Our proof is based on a Fréchet-Kolmogorov compactness criterion and does not rely on Korn or Poincaré-Korn inequalities.
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Project title:
Automatisierte Diskretisierung in der Multiphysik: F 6511-N36 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF))
