Reducing three-dimensional elasticity problems to two-dimensional problems by approximating stresses and displacements by legendre polynomials-Reference-Cited by-同舟云学术

Reducing three-dimensional elasticity problems to two-dimensional problems by approximating stresses and displacements by legendre polynomials

Published:2007-05 Issue:3 Volume:48 Page:450-459
ISSN:0021-8944
Container-title:Journal of Applied Mechanics and Technical Physics
language:en
Short-container-title:J Appl Mech Tech Phys

Author:

Volchkov Yu. M.,Dergileva L. A.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://link.springer.com/content/pdf/10.1007/s10808-007-0056-1.pdf

Reference17 articles.

1. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York (1959).

2. A. I. Soler, “Higher-order theories for structural analysis using Legendre polynomial expansions,” Trans. ASME, Ser. E: J. Appl. Mech., 36, No. 4, 757–762 (1969).

3. G. V. Ivanov, “Solution of the plane mixed problem of the theory of elasticity in the form of a series in Legendre polynomials,” J. Appl. Mech. Tech. Phys., No. 6, 856–866 (1976).

4. G. V. Ivanov, Theory of Plates and Shells [in Russian], Izd. Novosib. Univ., Novosibirsk (1980).

5. B. L. Pelekh, Laminated Anisotropic Plates and Shells with Stress Concentrators [in Russian], Naukova Dumka, Kiev (1982).

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