On the Reissner Theory of Bending of an Elastic Plate

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Miao Tian-de, Cheng Chang-jun. On the Reissner Theory of Bending of an Elastic Plate[J]. Applied Mathematics and Mechanics, 1980, 1(2): 221-235.

Citation:

Miao Tian-de, Cheng Chang-jun. On the Reissner Theory of Bending of an Elastic Plate[J]. Applied Mathematics and Mechanics, 1980, 1(2): 221-235.

Citation:

Miao Tian-de, Cheng Chang-jun. On the Reissner Theory of Bending of an Elastic Plate[J]. Applied Mathematics and Mechanics, 1980, 1(2): 221-235.

Abstract

Reissner equations of elastic plate are derived on the bases of incomplete generalized variational principle of complementary energy.The stress function ψ is obtained from the variational calculation in the form of Lagrange multiplier.The structure of solution of Reissner equations is thus determined.On the bases of these discussions,we obtained a simplified theory,in which the equations of equilibrium involving the shearing influence can be reduced into a fourth order differential equation similar to those of classic plate theory.

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