Existence theorems in the theory of bending of micropolar plates

DOI10.1016/0020-7225(89)90136-5zbMath0704.73053OpenAlexW1969752414MaRDI QIDQ917379

Christian Constanda, Peter Schiavone

Publication date: 1989

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(89)90136-5

zbMATH Keywords

displacementequilibrium equationsFredholm alternativeexterior problemsboundary integral methodsspaces of Hölder continuous and differentiable functionstraction problems

Mathematics Subject Classification ID

Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15) Integral representations of solutions to PDEs (35C15) Polar materials (74A35) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (9)

On the solutions of Eringen's micropolar plate equations and of other approximate equations ⋮ On existence theorems in the theory of extensional motions of thin micropolar plates ⋮ Fundamental sequences of functions in the approximation of solutions to exterior problems in the bending of thin micropolar plates ⋮ On generalized Cosserat-type theories of plates and shells: a short review and bibliography ⋮ A generalized Fourier approximation in anti-plane Cosserat elasticity ⋮ A generalized Fourier approximation in micropolar elasticity ⋮ On the Solution of the Torsion Problem in Linear Elasticity with Microstructure ⋮ Fundamental sequences of functions in the approximation of the solution to the mixed boundary value problem in anti-plane Cosserat elasticity ⋮ Uniqueness in dynamic problems of thin micropolar plates

Cites Work

• Uniqueness in the theory of bending of elastic plates
• Existence and uniqueness in the theory of bending of elastic plates
• Differentiability of the solution of a system of singular integral equations in elasticity
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