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).
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 spaceCitations:
Zbl 0267.73016References:
[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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