Optimal control of the layer size in the problem of equilibrium of elastic bodies with overlapping domains

DOI10.1134/S1990478916030145zbMath1374.49007OpenAlexW2514072913MaRDI QIDQ2959203

No author found.

Publication date: 9 February 2017

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478916030145

zbMATH Keywords

optimal controlelastic bodyoverlapping domainscrack with nonpenetration condition

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Brittle fracture (74R10) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (6)

On the equilibrium of a two-layer elastic structure with a crack ⋮ An optimal size of a rigid thin stiffener reinforcing an elastic two-dimensional body on the outer edge ⋮ Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff–Love plates with a crack ⋮ Optimal control of the radius of a rigid circular inclusion in inhomogeneous two-dimensional bodies with cracks ⋮ On the equilibrium problem for a two-layer structure with the upper layer covering a defect tip ⋮ Optimal location of a thin rigid inclusion for a problem describing equilibrium of a composite Timoshenko plate with a crack

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modelling and control in solid mechanics
• Generalized J-integral and three dimensional fracture mechanics. I
• Structural optimization using sensitivity analysis and a level-set method.
• Shape sensitivity analysis for an interface problem via minimax differentiability
• Optimal control of tilt angles in equilibrium problems for the Timoshenko plate with a oblique crack
• Optimal control of cracks in elastic bodies with thin rigid inclusions
• On crack problem with overlapping domain
• Overlapping domain problems in the crack theory with possible contact between crack faces
• Analytical and numerical methods in shape optimization
• The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains
• Differentiation of Energy Functionals in Two-Dimensional Elasticity Theory for Solids with Curvilinear Cracks
• On an optimal control problem for the shape of thin inclusions in elastic bodies
• Existence of an optimal shape of the thin rigid inclusions in the Kirchhoff-Love plate
• Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions

This page was built for publication: Optimal control of the layer size in the problem of equilibrium of elastic bodies with overlapping domains