Shape and topological sensitivity analysis in domains with cracks.

DOI10.1007/s10492-010-0018-4zbMath1224.49014OpenAlexW1964971490MaRDI QIDQ622869

Katarzyna Szulc, Alexandr Mikhailovich Khludnev, Jan Sokolowski

Publication date: 11 February 2011

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116485

zbMATH Keywords

shape sensitivitytopological derivativederivative of energy functionalcrack with non-penetration

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Plates (74K20) Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (8)

Shape- and Topology Optimization for Passive Control of Crack Propagation ⋮ Unnamed Item ⋮ Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff–Love plates with a crack ⋮ Shape sensitivity analysis of energy integrals for bodies with rigid inclusions and cracks ⋮ Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body ⋮ Crack tip equation of motion in dynamic gradient damage models ⋮ On topological derivatives for contact problems in elasticity ⋮ Control of crack propagation by shape-topological optimization

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