Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions
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Publication:985126
DOI10.1016/j.jmps.2009.07.003zbMath1425.74042OpenAlexW1963802922MaRDI QIDQ985126
Jan Sokolowski, Alexandr Mikhailovich Khludnev, Antoni Żochowski, Antonio André Novotny
Publication date: 20 July 2010
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmps.2009.07.003
Related Items (33)
Asymptotic analysis of variational inequalities with applications to optimum design in elasticity ⋮ Existence of an optimal size of a delaminated rigid inclusion embedded in the Kirchhoff-Love plate ⋮ Contact problems for elastic bodies with rigid inclusions ⋮ Optimal control of a thin rigid stiffener for a model describing equilibrium of a Timoshenko plate with a crack ⋮ Shape- and Topology Optimization for Passive Control of Crack Propagation ⋮ Unnamed Item ⋮ Topological sensitivity derivative with respect to area, shape and orientation of an elliptic hole in a plate ⋮ Optimal location of a finite set of rigid inclusions in contact problems for inhomogeneous two-dimensional bodies ⋮ Equilibrium problem for an inhomogeneous two-dimensional elastic body with two interacting thin rigid inclusions ⋮ Optimal control of the thickness of a rigid inclusion in equilibrium problems for inhomogeneous two-dimensional bodies with a crack ⋮ Higher order topological derivatives in elasticity ⋮ Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous two‐dimensional bodies with a crack ⋮ The problem of the location of an inclusion in a two-dimensional elastic body with two thin rigid inclusions ⋮ Optimal location problem for composite bodies with separate and joined rigid inclusions ⋮ The conjunction problem for thin elastic and rigid inclusions in an elastic body ⋮ Unnamed Item ⋮ Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff–Love plates with a crack ⋮ Topological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domains ⋮ First-order shape derivative of the energy for elastic plates with rigid inclusions and interfacial cracks ⋮ A structure theorem for shape functions defined on submanifolds ⋮ Sensitivity analysis of hyperbolic optimal control problems ⋮ A new method for inverse electromagnetic casting problems based on the topological derivative ⋮ Optimal control of the radius of a rigid circular inclusion in inhomogeneous two-dimensional bodies with cracks ⋮ Existence of an optimal size of a rigid inclusion for an equilibrium problem of a Timoshenko plate with Signorini-type boundary condition ⋮ Sensitivity of the second order homogenized elasticity tensor to topological microstructural changes ⋮ Optimal control of cracks in elastic bodies with thin rigid inclusions ⋮ Inverse problem of breaking line identification by shape optimization ⋮ Optimal Control of the Location of a Thin Rigid Inclusion in the Equilibrium Problem of an Inhomogeneous Two-Dimensional Body with a Crack ⋮ Optimal location of a thin rigid inclusion for a problem describing equilibrium of a composite Timoshenko plate with a crack ⋮ On a Limiting Passage as the Thickness of a Rigid Inclusions in an Equilibrium Problem for a Kirchhoff-Love Plate with a Crack ⋮ On topological derivatives for contact problems in elasticity ⋮ On the connection between two equilibrium problems for cracked bodies in the cases of thin and volume rigid inclusions ⋮ Control of crack propagation by shape-topological optimization
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