Inverse problem of breaking line identification by shape optimization

DOI10.1515/jiip-2019-0047zbMath1431.35252OpenAlexW2991680187WikidataQ126627079 ScholiaQ126627079MaRDI QIDQ2301659

Daria Ghilli, Victor A. Kovtunenko, Karl Kunisch

Publication date: 25 February 2020

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://unipub.uni-graz.at/doi/10.1515/jiip-2019-0047

zbMATH Keywords

fractureinverse problemsfree boundary problemsoptimization of shapes

Mathematics Subject Classification ID

Variational inequalities (49J40) Brittle fracture (74R10) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Topological methods for optimization problems in solid mechanics (74P15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

Inverse problem for cracked inhomogeneous Kirchhoff-Love plate with two hinged rigid inclusions ⋮ Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem ⋮ Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian ⋮ Lagrangian approach and shape gradient for inverse problem of breaking line identification in solid: contact with adhesion ⋮ Directional differentiability for shape optimization with variational inequalities as constraints ⋮ Asymptotic analysis of the problem of equilibrium of an inhomogeneous body with hinged rigid inclusions of various widths

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