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• W4360877674 abstract "Abstract Phase‐field models for the quasi‐static simulation of brittle fracture where the crack is approximated by a damage phase‐field are limited by the necessary memory and computation time. In this contribution, we study the applicability of low‐rank methods to phase‐field fracture models, specifically the tensor train (TT) format. To this end, we investigate the low‐rank structure of the crack phase‐field. Additionally, we present an implementation of an alternating minimization scheme to solve the coupled displacement and damage problem in the TT format. We show the evolution of the TT ranks of the displacement and damage fields for a specific example." @default.
• W4360877674 created "2023-03-25" @default.
• W4360877674 creator A5010230373 @default.
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• W4360877674 date "2023-03-01" @default.
• W4360877674 modified "2023-10-18" @default.
• W4360877674 title "Solving phase‐field fracture problems in the tensor train format" @default.
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• W4360877674 doi "https://doi.org/10.1002/pamm.202200098" @default.
• W4360877674 hasPublicationYear "2023" @default.
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