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He, Ji-Huan

Coupled variational principles of piezoelectricity. (English) Zbl 1210.74175

Int. J. Eng. Sci. 39, No. 3, 323-341 (2001).
Summary: A family of generalized variational principles of piezoelectricity can be obtained straightforwardly from the field equations and boundary conditions via the semi-inverse method of establishing variational principles proposed by He without using Lagrange multipliers. The present theory provides a quite straightforward tool to search for various variational principles for physical problems. This paper aims at providing a more complete theoretical basis for the finite element applications and other direct variational methods such as Ritz’s, Trefftz’s and Kantorovitch’s methods.

Cited in 19 Documents

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74F15 Electromagnetic effects in solid mechanics
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\textit{J.-H. He}, Int. J. Eng. Sci. 39, No. 3, 323--341 (2001; Zbl 1210.74175)
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References:

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