A MIXED VARIATIONAL FORMULATION FOR LARGE DEFORMATION ANALYSIS OF PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (7): 611-621.

A MIXED VARIATIONAL FORMULATION FOR LARGE DEFORMATION ANALYSIS OF PLATES

S.Dost¹, B.Tabrrok²

1. Department of Mechanical Engineering, University of Calgary, Calgary, Alberta, Canada;
2. Department of Mechanical Engineering, University of Toronto, Toronto, Ontario, Canada

收稿日期:1988-01-04 出版日期:1989-07-18 发布日期:1989-07-18

A MIXED VARIATIONAL FORMULATION FOR LARGE DEFORMATION ANALYSIS OF PLATES

S. Dost¹, B.Tabrrok²

1. Department of Mechanical Engineering, University of Calgary, Calgary, Alberta, Canada;
2. Department of Mechanical Engineering, University of Toronto, Toronto, Ontario, Canada

Received:1988-01-04 Online:1989-07-18 Published:1989-07-18

摘要/Abstract

摘要： A mixed vuriational formulation for large deformation analysis of plates is introduced. In this formulation the equilibrium ami compatibility equations are satisfied identically by means of stress functions and displacement components, respectively, and the constitu,lye equations are satisfied in a least square sense. An example is solved and the results are compared with those available in the literature.Further, the functional is particularized for buckling analysis of plates and a simple example is solved to illustrate the theory.

关键词: Phragmén-Lindelöf, continuous dependence, decay bounds, Stokes flow

Abstract: A mixed vuriational formulation for large deformation analysis of plates is introduced. In this formulation the equilibrium ami compatibility equations are satisfied identically by means of stress functions and displacement components, respectively, and the constitu,lye equations are satisfied in a least square sense. An example is solved and the results are compared with those available in the literature.Further, the functional is particularized for buckling analysis of plates and a simple example is solved to illustrate the theory.

Key words: Phragmén-Lindelöf, continuous dependence, decay bounds, Stokes flow

S.Dost;B.Tabrrok. A MIXED VARIATIONAL FORMULATION FOR LARGE DEFORMATION ANALYSIS OF PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1989, 10(7): 611-621.

S. Dost;B.Tabrrok. A MIXED VARIATIONAL FORMULATION FOR LARGE DEFORMATION ANALYSIS OF PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1989, 10(7): 611-621.

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A MIXED VARIATIONAL FORMULATION FOR LARGE DEFORMATION ANALYSIS OF PLATES

A MIXED VARIATIONAL FORMULATION FOR LARGE DEFORMATION ANALYSIS OF PLATES

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