Analysis of a Space-Time Phase-Field Fracture Complementarity Model and its Optimal Control Formulation-Reference-Cited by-同舟云学术

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Analysis of a Space-Time Phase-Field Fracture Complementarity Model and its Optimal Control Formulation

Published:2024-09-05 Issue:5 Volume:56 Page:6192-6212
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Khimin Denis¹^ORCID,Lankeit Johannes¹^ORCID,Steinbach Marc C.¹^ORCID,Wick Thomas²^ORCID

Affiliation:

1. Leibniz Universität Hannover, Institut für Angewandte Mathematik, 30167 Hannover, Germany.

2. Leibniz Universität Hannover, Institut für Angewandte Mathematik, 30167 Hannover, Germany, and Université Paris-Saclay, LMPS – Laboratoire de Mécanique Paris-Saclay, 91190 Gif-sur-Yvette, France.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference52 articles.

1. A review on phase-field models of brittle fracture and a new fast hybrid formulation

2. Numerical implementation of the variational formulation for quasi-static brittle fracture

3. Numerical experiments in revisited brittle fracture

4. The Variational Approach to Fracture

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