Integral equation methods in plane asymmetric elasticity

DOI10.1007/BF00042453zbMath0878.73015OpenAlexW2053887927MaRDI QIDQ1357181

Peter Schiavone

Publication date: 11 January 1998

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042453

zbMATH Keywords

direct methoddisplacementsNeumann problemsmicropolar elasticitymicrorotationfar-field patternexterior Dirichlet problemsinterior Dirichlet problems

Mathematics Subject Classification ID

Polar materials (74A35) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Related Items (19)

Surface effects in anti-plane deformations of a micropolar elastic solid: integral equation methods ⋮ Stress distribution around a crack in plane micropolar elasticity ⋮ Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach ⋮ Weak solutions of the transmission problem in anti‐plane Cosserat elasticity ⋮ A Direct Boundary Element Formulation for the First Plane Problem in the Dual System of Micropolar Elasticity ⋮ Existence and integral representation of solutions for plane deformations of a micropolar elastic solid with surface elasticity ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ An integral representation for the solution of the inclusion problem in the theory of antiplane micropolar elasticity ⋮ Solvability of Weak Solutions to Anti-Plane Cosserat Elasticity by Means of Boundary Integral Equations ⋮ Weak solutions of the exterior boundary value problems of plane Cosserat elasticity ⋮ Integral solutions of mixed problems in a theory of plane strain elasticity with microstructure ⋮ Boundary element analysis of stress distribution around a crack in plane micropolar elasticity ⋮ Uniqueness of solution for plane deformations of a micropolar elastic solid with surface effects ⋮ A complement to potential theory in the Cosserat elasticity ⋮ Steady Thermoelastic Oscillations in a Linear Theory of Plane Elasticity with Microstructure ⋮ Stress Distribution Around a Crack in Anti-Plane Micropolar Elasticity ⋮ On the Solution of the Torsion Problem in Linear Elasticity with Microstructure ⋮ The Neumann problem in plane deformations of a micropolar elastic solid with micropolar surface effects ⋮ ON AN INTEGRAL EQUATION OF THE FIRST KIND ARISING IN THE THEORY OF COSSERAT

Cites Work

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• On existence theorems in the theory of extensional motions of thin micropolar plates
• Some comments on the integration of certain systems of partial differential equations in continuum mechanics
• Linear theory of micropolar viscoelasticity
• Existence theorems in the theory of micropolar elasticity
• On Constanda’s matrix of nonuniqueness in a theory of plates in asymmetric elasticity
• Integral equations of the first kind in plane elasticity

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