A new proof of compactness in G(S)BD

DOI10.1515/ACV-2021-0041arXiv2104.13141OpenAlexW4206592674WikidataQ114007289 ScholiaQ114007289MaRDI QIDQ6165635

Emanuele Tasso, Stefano Almi

Publication date: 6 July 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13141

zbMATH Keywords

brittle fracturecompactnessgeneralized functions of bounded deformation

Mathematics Subject Classification ID

Brittle fracture (74R10) Optimization of other properties in solid mechanics (74P10) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (1)

Brittle fracture in linearly elastic plates

Cites Work

• Generalised functions of bounded deformation
• Compactness and lower semicontinuity properties in \(SBD(\Omega)\)
• A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies
• Korn and Poincaré-Korn inequalities for functions with a small jump set
• Compactness and lower semicontinuity in \(GSBD\)
• Korn-Poincare inequalities for functions with a small jump set
• A Piecewise Korn Inequality in SBD and Applications to Embedding and Density Results
• A Korn-type inequality in SBD for functions with small jump sets

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