About identification of defects in an elastic-plastic medium from boundary measurements in the antiplane case

DOI10.1080/00036811.2010.549481zbMath1387.35613OpenAlexW1988305069WikidataQ58247736 ScholiaQ58247736MaRDI QIDQ3094242

Jérémi Dardé, Laurent Bourgeois

Publication date: 21 October 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.549481

zbMATH Keywords

inverse problemquasi-reversibilitylevel set techniqueelastic-plastic law

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Variational methods applied to PDEs (35A15) Inverse problems in equilibrium solid mechanics (74G75) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (2)

The ``exterior approach to solve the inverse obstacle problem for the Stokes system ⋮ Carleman estimates for the regularization of ill-posed Cauchy problems

Cites Work

• A quasi-reversibility approach to solve the inverse obstacle problem
• On plasticity with hardening
• An inverse approach to determine the nonlinear properties of induction heat-treated steels
• Variation and optimization of formes. A geometric analysis
• An inversion method for identification of elastoplastic properties for engineering materials from limited spherical indentation measurements
• On the Inversion of Residual Stresses From Surface Displacements
• A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation
• On the elastic plastic initial-boundary value problem and its numerical integration
• Inverse coefficient problems for elliptic variational inequalities with a nonlinear monotone operator
• Inverse problems in elasticity
• An Inverse Problem for an Elastoplastic Medium
• A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data
• Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation
• A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation

This page was built for publication: About identification of defects in an elastic-plastic medium from boundary measurements in the antiplane case