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Journal of Intelligent Material Systems and Structures
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On the Constitutive Equations of Magnetoelectroelastic Solids

A. K. Soh

Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China

And J.X. Liu

Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, China

All the existing works on the mechanics and physics of magnetoelectroelastic solids are based on the only available set of constitutive equations in which the stress, electric displacement, and magnetic induction are expressed in terms of the strain, electric field, and magnetic field. In this paper, we provide other forms of the constitutive equations and the thermodynamic potential corresponding to each form. The mathematical properties of the thermodynamic potentials and the relations between the material constants are discussed.

Key Words: magnetoelectroelastic solid • piezoelectric • piezomagnetic • constitutive equation

Journal of Intelligent Material Systems and Structures, Vol. 16, No. 7-8, 597-602 (2005)
DOI: 10.1177/1045389X05051630
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[Abstract] [Full Text] [PDF]