Weak solutions of the problem of torsion of micropolar elastic beams

DOI10.1007/S00033-009-0018-YzbMath1339.74021OpenAlexW2037813541MaRDI QIDQ707968

Stanislav Potapenko, E. Shmoylova

Publication date: 8 October 2010

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

Full work available at URL: https://doi.org/10.1007/s00033-009-0018-y

zbMATH Keywords

torsionweak solutionslinear micropolar elasticitymaterial microstructure

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Micromechanics of solids (74M25) Polar materials (74A35) Weak solutions to PDEs (35D30) Singular integral equations (45E99)

Related Items (2)

An integral representation for the solution of the inclusion problem in the theory of antiplane micropolar elasticity ⋮ Theory of micropolar gyroelastic continua

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary element analysis of stress distribution around a crack in plane micropolar elasticity
• On existence theorems in the theory of extensional motions of thin micropolar plates
• Generalized Fourier series solution of torsion of an elliptic beam with microstructure.
• Antiplane shear deformations in a linear theory of elasticity with microstructure
• Weak solutions of the interior boundary value problems of plane Cosserat elasticity
• Torsion of micropolar elastic beams
• Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics
• Solvability of Weak Solutions to Anti-Plane Cosserat Elasticity by Means of Boundary Integral Equations
• On the Solution of the Torsion Problem in Linear Elasticity with Microstructure

This page was built for publication: Weak solutions of the problem of torsion of micropolar elastic beams