On the problem of a thin rigid inclusion embedded in a Maxwell material

DOI10.1007/s00033-016-0700-9zbMath1359.74054OpenAlexW2488139916MaRDI QIDQ520507

Graham A. Rogerson, Tatiana Semenovna Popova

Publication date: 3 April 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: http://eprints.keele.ac.uk/2131/1/June%2015.pdf

zbMATH Keywords

variational inequalityviscoelasticitycrackrigid inclusionnon-penetration conditioninequality-type boundary conditions

Mathematics Subject Classification ID

Related Items (11)

Problems of Thin Inclusions in a Two-Dimensional Viscoelastic Body ⋮ Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous two‐dimensional bodies with a crack ⋮ Numerical solution of the equilibrium problem for a two-dimensional elastic body with a thin semirigid inclusion ⋮ On equilibrium of a two-dimensional viscoelastic body with a thin Timoshenko inclusion ⋮ Unnamed Item ⋮ Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff–Love plates with a crack ⋮ Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response ⋮ Optimal control of the radius of a rigid circular inclusion in inhomogeneous two-dimensional bodies with cracks ⋮ 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 the connection between two equilibrium problems for cracked bodies in the cases of thin and volume rigid inclusions

Cites Work

• Thin rigid inclusions with delaminations in elastic plates
• A rigid inclusion in the contact problem for elastic plates
• On bending an elastic plate with a delaminated thin rigid inclusion
• On elastic bodies with thin rigid inclusions and cracks
• Existence Theorems in Linear and Semi-Linear Elasticity
• An Introduction to Variational Inequalities and Their Applications
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