Hamilton Principle and Generalized Variational Principles of Linear Thermopiezoelectricity

Author:

He Ji-Huan1

Affiliation:

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Abstract

Via the semi-inverse method, a family of various variational principles is established for thermopiezoelectricity, including a Hamilton principle and a minimum complementary energy principle.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference5 articles.

1. Chandrasekharaiah, D. S. , 1998, “A Generalized Linear Thermo-Elasticity Theory for Piezoelectric Media,” Acta Mech., 71, pp. 39–49.

2. He, J. H. , 1999, “A Variational Principle for Thermo-Piezoelectricity Based on Chandrasekharaiah’s Generalized Linear Theory,” J. Univ. Shanghai Sci. Tech.21, No. 4, pp. 356–365.

3. Liu, G. L. , 1999, “A Unified Variational Theory for Coupled Thermoelasticity,” Acta Mech. Sin., 31, No. 2, pp. 165–172( in Chinese).

4. He, J. H. , 2000, “A Classical Variational Model for Micropolar Elastodynamics,” Int. Nonlinear Sci. Numer. Simul.1, No. 2, pp. 133–138.

5. He, J. H. , 2000, “Generalized Hellinger-Reissner Principle,” ASME J. Appl. Mech., 67, No. 2, pp. 326–331.

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