Numerical crack path selection problem based on energy profiles

DOI10.1007/S13160-022-00523-0zbMath1503.35220OpenAlexW4285391995MaRDI QIDQ2107451

Sayahdin Alfat, Masato Kimura, Mahardhika Maulana Alifian

Publication date: 1 December 2022

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-022-00523-0

zbMATH Keywords

finite element methodvariational fracturecrack path selection

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational methods applied to PDEs (35A15) PDEs in connection with mechanics of deformable solids (35Q74)

Uses Software

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Cites Work

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• The variational approach to fracture
• When and how do cracks propagate?
• Revisiting brittle fracture as an energy minimization problem
• Shapes and Geometries
• Shape derivative of potential energy and energy release rate in fracture mechanics
• New development in freefem++
• VI. The phenomena of rupture and flow in solids

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