A Mixed Variational Formulation for Large Deformation Analysis of Plates

S. Dost; B. Tabarrok

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S. Dost, B. Tabarrok. A Mixed Variational Formulation for Large Deformation Analysis of Plates[J]. Applied Mathematics and Mechanics, 1989, 10(7): 585-595.

Citation:

S. Dost, B. Tabarrok. A Mixed Variational Formulation for Large Deformation Analysis of Plates[J]. Applied Mathematics and Mechanics, 1989, 10(7): 585-595.

Citation:

S. Dost, B. Tabarrok. A Mixed Variational Formulation for Large Deformation Analysis of Plates[J]. Applied Mathematics and Mechanics, 1989, 10(7): 585-595.

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A Mixed Variational Formulation for Large Deformation Analysis of Plates

S. Dost¹,
B. Tabarrok²

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

Received Date: 1988-01-04
Publish Date: 1989-07-15

Abstract

Abstract

A mixed vuriational formulation for large deformation analysis of plates is introduced. In this formulation the equilibrium and compatibility equations are satisfied identically by means of stress functions and displacement components, respectively, and the constitutive 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.

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References(10)

References

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