A parametrized variational principle of nonlinear piezoelectricity
Abstract
The variational theory is the theoretical basis of the finite element method, meshfree particle methods and other modern numerical techniques. The present paper establishes a family of variational principles for nonlinear piezoelectricity. A new constitutive relation is suggested, which is deduced as a stationary condition of a generalized variational principle.
Keywords
variational theory, piezoelectricity, constitutive equations.,References
[1] F. Ashida, T.R. Tauchert. An inverse problem for determination of transient surface temperature from piezoelectric sensor measurement. ASME J. App. Mech., 65: 367- 373, 1998.[2] D.S . Chandrasekharaiah. A generalized linear thermo-elasticity theory for piezoelectric media. ACTA Mechanica, 71: 39-49, 1998.
[3] T.Y. Chen. Further correspondences between plane piezoelectricity and generalized plane strain in elasticity. Proc. R . Soc. Lond., A454: 873- 884, 1971 .
[4] W.Z. Chien. Method of high-order Lagrange multiplier and generalized variational principles of elasticity with more general forms of functionals. Applied Math. & Mech., 4(2): 137-150, 1983.
[5] S.I. Chizhikov, N.G. Sorokin and V.S. Petrakov. The elastoelectric effect in the non-centrosymmetric crystals. In: Piezoelectricity, eds. G. W. Taylor et al., Gordon & Breach Science Publishers, New York, 75- 91 , 1985.
Published
Jan 27, 2023
How to Cite
HE, Ji-Huan.
A parametrized variational principle of nonlinear piezoelectricity.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 10, n. 3, p. 263-269, jan. 2023.
ISSN 2956-5839.
Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1074>. Date accessed: 13 nov. 2024.
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