On The Reissner Theory of Bending of Flastic Plates

摘要/Abstract

摘要： The Reissner equations of elastic plates are rederived on the bases of the incomplete generalized variational principle of Complementary energy. The Stress function is naturally obtained from the variational Calculation in the form of Lagrange multiplier. The stucture of solutions of the Reissner equations is thus defined. On the bases of these discussions, a simplified theory has been put forward, in which the equations of equilibrium involving the shearing influence can be reduced into a fourth order differential equation similar to those of the Classical theory of plates.

关键词: degenerated isoparametric shell element, shear locking, membrane locking, finite element

Abstract: The Reissner equations of elastic plates are rederived on the bases of the incomplete generalized variational principle of Complementary energy. The Stress function is naturally obtained from the variational Calculation in the form of Lagrange multiplier. The stucture of solutions of the Reissner equations is thus defined. On the bases of these discussions, a simplified theory has been put forward, in which the equations of equilibrium involving the shearing influence can be reduced into a fourth order differential equation similar to those of the Classical theory of plates.

Key words: degenerated isoparametric shell element, shear locking, membrane locking, finite element

苗天德;程昌钧. On The Reissner Theory of Bending of Flastic Plates[J]. Applied Mathematics and Mechanics (English Edition), 1980, 1(2): 231-246.

Miao Tiande;Cheng Chang-Jun. On The Reissner Theory of Bending of Flastic Plates[J]. Applied Mathematics and Mechanics (English Edition), 1980, 1(2): 231-246.

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