Shape sensitivity analysis for identification of voids under Navier's boundary conditions in linear elasticity

DOI10.1515/jiip-2018-0029zbMath1419.35250OpenAlexW2902496860MaRDI QIDQ2316691

Bochra Méjri

Publication date: 6 August 2019

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

Full work available at URL: https://doi.org/10.1515/jiip-2018-0029

zbMATH Keywords

linear elasticityidentifiabilityshape derivativeNavier boundary conditionsenergy gap functional\({L^{2}}\)-gap functionalvoids identification

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (3)

A phase-field approach for detecting cavities via a Kohn–Vogelius type functional ⋮ Topological sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity ⋮ Cavities identification in linear elasticity: energy-gap versus L²-gap cost functionals

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