A cohesive crack propagation model: mathematical theory and numerical solution

DOI10.3934/cpaa.2013.12.1705zbMath1345.74100OpenAlexW2333559992MaRDI QIDQ1948413

Paul Steinmann, Marina Prechtel, Michael Stingl, Günter R. Leugering

Publication date: 6 May 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1705

zbMATH Keywords

energy minimizationcrack problemscohesive elements

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

Related Items (8)

Shape- and Topology Optimization for Passive Control of Crack Propagation ⋮ Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem ⋮ Optimal control of the thickness of a rigid inclusion in equilibrium problems for inhomogeneous two-dimensional bodies with a crack ⋮ Optimal design of brittle composite materials: a nonsmooth approach ⋮ Coupling of finite element and boundary element methods with regularization for a nonlinear interface problem with nonmonotone set-valued transmission conditions ⋮ From solvability and approximation of variational inequalities to solution of nondifferentiable optimization problems in contact mechanics ⋮ Inverse problem of breaking line identification by shape optimization ⋮ Control of crack propagation by shape-topological optimization

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