Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
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.
Rocznik
Tom
Strony
263--269
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
- College of Science, Donghau University 1882 Yan'an Xilu Road, Shanghai 200051, P.R. China
Bibliografia
- [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. Land., 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.
- [6] J. Curie, P. Curie. Development par compression de l'etricite polaire das les cristaux hemledres a faces inclinees. Bulletin No.4 de la Societee Mineralogique de France, 3, 1880.
- [7] J.H. He. Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics. Int. J. Turbo & Jet-Engines, 14(1): 23-28, 1997.
- [8] J.H. He. A variational theory for one-dimensional unsteady compressible flow: an image plane approach. Applied Math. Modelling, 22: 395-403, 1998.
- [9] J.H. He. Treatment shocks in transonic aerodynamics in meshless method: Part I Lagrange multiplier approach. Int. J. Turbo & Jet-Engines, 16(1): 19-26, 1999.
- [10] J.H. He. Hybrid problems of determining unknown shape of bladings in compressible S2-flow in mixed-flow turbomachinery via variational technique. Aircraft Engineering and Aerospace Technology, 71(2): 154-159, 1999.
- [11] J.H. He. On variational crisis and generalized variational principle of elasticity (in Chinese). J. University of Shanghai for Science & Technology, 21(2): 127-130, 1999.
- [12] J.H. He. An overview of variational crises and its recent developments (in Chinese). J. University of Shanghai for Sciences and Technology, 21(1): 29-35, 1999.
- [13] J.H. He. A variational principle for thermopiezoelectricity based on Chandrasekharaiah's generalized linear theory, J. University of Shanghai for Science and Technology, 21(4): 356-365, 1999.
- [14] J.H. He. Inverse problems of determining the unknown shape of oscillating airfoils in compressible 2D unsteady flow via variational technique. Aircraft Engineering and Aerospace Technology, 72(1): 18-24, 2000.
- [15] J.H. He. A Classical Variational Model for Micropolar Elastodynamics. International J. of Nonlinear Sciences and Numerical Simulation, 1(2): 133-138, 2000.
- [16] J.H. He. A Variational Model for Micropolar Fluids in Lubrication Journal Bearing. International J. of Nonlinear Sciences and Numerical Simulation, 1(2): 139-142 , 2000.
- [17] J.H. He. Coupled variational principles of piezoelectricity. Int. J. Engineering Science, 39(3), 323-341, 2001.
- [18] J.H. He. Generalized Hellinger-Reissner principle. ASME Journal of Applied Mechanics, 67(2), 326-331, 2000.
- [19] G.A. Maugin. The Mechanical Behavior of Electromagnetic Solid Continua. North-Holland, 1984
- [20] G.A. Maugin. Continuum Mechanics of Electromagnetic Solids. North-Holland-Amsterdam, 1988.
- [21] K. Washizu. Variational Methods in Elasticity and Plasticity. Pergamon Press, Oxford, 1982.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0009-0076