Green's tensor for an elastic cylinder and its applications in the development of the Saint-Venant theory

DOI10.1016/0021-8928(96)00013-5zbMath0881.73018OpenAlexW2080457637MaRDI QIDQ1361947

A. N. Druz', Yury A. Ustinov

Publication date: 31 July 1997

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

Full work available at URL: https://doi.org/10.1016/0021-8928(96)00013-5

zbMATH Keywords

asymptotic analysisGreen's tensorinfinite cylindermultiple eigenvaluesstatic problemcylinder of finite lengthvector-valued Green's function

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Saint-Venant's principle (74G50)

Related Items (7)

Homogeneous solutions and Saint-Venant problems for a naturally twisted rod ⋮ Long nonlinear waves in anisotropic cylinders ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Shock waves in anisotropic cylinders ⋮ Characteristic behavior of prismatic anisotropic beam via generalized eigenvectors

Cites Work

• Wave propagation in an elastic longitudinally inhomogeneous cylinder
• On the theory of inhomogeneous electroelastic plates
• On equations describing the transverse vibrations of elastic bars
• Saint-Venant's principle
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• Unnamed Item

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