Asymptotics of solutions near crack tips for Poisson equation with inequality type boundary conditions

DOI10.1007/s00033-007-6032-zzbMath1138.74043OpenAlexW2051823859MaRDI QIDQ930394

Elsie Sterbin Gottlieb

Publication date: 30 June 2008

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-007-6032-z

zbMATH Keywords

weighted Sobolev spacePoisson equationsecond derivatives

Mathematics Subject Classification ID

Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Energy minimization in equilibrium problems in solid mechanics (74G65)

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On the topological derivative due to kink of a crack with non-penetration. Anti-plane model ⋮ Optimal rigid inclusion shapes in elastic bodies with cracks ⋮ Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion ⋮ The interface crack with Coulomb friction between two bonded dissimilar elastic media. ⋮ Crack on the boundary of two overlapping domains ⋮ A Shape-Topological Control Problem for Nonlinear Crack-Defect Interaction: The Antiplane Variational Model ⋮ Domain decomposition method for crack problems with nonpenetration condition ⋮ Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity ⋮ Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks

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