Evolution of a crack with kink and non-penetration
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Publication:998940
DOI10.2969/jmsj/06041219zbMath1153.49040OpenAlexW2060256160MaRDI QIDQ998940
Victor A. Kovtunenko, Atusi Tani, Alexandr Mikhailovich Khludnev
Publication date: 30 January 2009
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/06041219
Variational inequalities (49J40) Brittle fracture (74R10) Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for free problems in two or more independent variables (49K10)
Related Items (14)
On the topological derivative due to kink of a crack with non-penetration. Anti-plane model ⋮ Shape and topological sensitivity analysis in domains with cracks. ⋮ Lagrangian approach and shape gradient for inverse problem of breaking line identification in solid: contact with adhesion ⋮ Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous two‐dimensional bodies with a crack ⋮ Multimaterial topology optimization of contact problems using phase field regularization ⋮ Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body ⋮ First-order shape derivative of the energy for elastic plates with rigid inclusions and interfacial cracks ⋮ The interface crack with Coulomb friction between two bonded dissimilar elastic media. ⋮ On elastic bodies with thin rigid inclusions and cracks ⋮ Shape Differentiability of Lagrangians and Application to Stokes Problem ⋮ From shape variation to topological changes in constrained minimization: a velocity method-based concept ⋮ Contacting crack faces within the context of bodies exhibiting limiting strains ⋮ 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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