Lamé system of elasticity theory in a plane orthotropic medium

DOI10.1007/s10958-009-9319-0zbMath1180.35510OpenAlexW2030148788MaRDI QIDQ843529

E. A. Abapolova, Alexandr P. Soldatov

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9319-0

zbMATH Keywords

anisotropic elasticitysecond-order elliptic system

Mathematics Subject Classification ID

Classical linear elasticity (74B05) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

Mixed problem of plane orthotropic elasticity in a half-plane ⋮ Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I ⋮ Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra ⋮ Monogenic functions in commutative complex algebras of the second rank and the Lamé equilibrium system for some class of plane orthotropy

Cites Work

• Function theoretic solutions to problems of orthotropic elasticity
• On the first and second boundary value problems for elliptic systems on the plane
• On the index of the Dirichlet problem for elliptic systems on the plane
• Application of the method of potentials in problems of fracture mechanics
• Second-order elliptic systems in the half-plane
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