Solvability of Weak Solutions to Anti-Plane Cosserat Elasticity by Means of Boundary Integral Equations

DOI10.1177/1081286508095810zbMath1257.74011OpenAlexW2025720334MaRDI QIDQ4905284

E. Shmoylova, Stanislav Potapenko

Publication date: 15 February 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286508095810

zbMATH Keywords

weak solutionsboundary integral equationsmicropolar elasticity

Mathematics Subject Classification ID

Polar materials (74A35) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Weak solutions of the transmission problem in anti‐plane Cosserat elasticity ⋮ A complement to potential theory in the Cosserat elasticity ⋮ Weak solutions of the problem of torsion of micropolar elastic beams ⋮ Stress Distribution Around a Crack in Anti-Plane Micropolar Elasticity ⋮ ON AN INTEGRAL EQUATION OF THE FIRST KIND ARISING IN THE THEORY OF COSSERAT

Cites Work

• On existence theorems in the theory of extensional motions of thin micropolar plates
• Integral equation methods in plane asymmetric elasticity
• Antiplane shear deformations in a linear theory of elasticity with microstructure
• Weak solutions of the interior boundary value problems of plane Cosserat elasticity
• A generalized Fourier approximation in anti-plane Cosserat elasticity
• Fundamental sequences of functions in the approximation of the solution to the mixed boundary value problem in anti-plane Cosserat elasticity
• On the Solution of Mixed Problems in Anti-Plane Micropolar Elasticity
• Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics
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