Document Zbl 0498.73056

Problem of flexure of thick cantilever plate. (English. Russian original) Zbl 0498.73056

Sov. Appl. Mech. 17, 807-815 (1982); translation from Prikl. Mekh. 17, No. 9, 46-51 (1981).

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MSC:

74K20	Plates
74S30	Other numerical methods in solid mechanics (MSC2010)
49S05	Variational principles of physics
49K99	Optimality conditions

Keywords:

state of stress and strain; thick cantilever plate; Castigliano variational principle; minimum-potential-energy method; accuracy; estimated in norm of energy space

Citations:

Zbl 0267.73016

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Full Text: DOI

References:

[1]	V. G. Litvinov and A. D. Panteleev, ?Method of orthogonal projections for solving three dimensional problems in the theory of elasticity,? Prikl. Mekh.9, No. 6, 9?15 (1973).
[2]	S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Nauka, Moscow (1970). · Zbl 0119.19002
[3]	A. D. Panteleev, ?State of stress and strain in thick plates,? in: Proc. Confer. on Computer Mathematics in Modern Scientific-Technical Advancement [in Russian], Vol. 2, Kanev (1974), pp. 116?124.
[4]	S. P. Timoshenko and J. Gere, Theory of Elasticity, McGraw-Hill, New York (1970).
[5]	M. M. Filonenko-Borodich, Theory of elasticity [in Russian], Fizmatigiz, Moscow (1959). · Zbl 0123.40501

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