A Modified Hellinger-Reissner Variational Functional Including only Two Independent Variables for Large Displacement of Thin Shallow Shell

Qian Rengji

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(7): 617-624

Qian Rengji. A Modified Hellinger-Reissner Variational Functional Including only Two Independent Variables for Large Displacement of Thin Shallow Shell[J]. Applied Mathematics and Mechanics, 1997, 18(7): 617-624.

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A Modified Hellinger-Reissner Variational Functional Including only Two Independent Variables for Large Displacement of Thin Shallow Shell

Qian Rengji

Shanghai Jiaotong University, Shanghai 200000, P. R. China

Received Date: 1995-07-24
Rev Recd Date: 1996-10-07
Publish Date: 1997-07-15

Abstract

Abstract

The variational functional of the Hellinger-Reissner variational principle for the large displacement problem of a thin shallow shell with an arbitrary shape is first established. Then the functional of the modifed principle suitable for the finite element method is derived. In the.functional only two independent variables, the deflection wand the stress function F are inchuded. The displacement expressions in the middle surface on the boundary of the shell is also derived by means of the previous two variables.
- variational principle,
- shallow shell,
- large displacement,
- finite element method

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References(6)

References

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