Advanced Mechanics of Piezoelectricity by Qinghua Qin

By Qinghua Qin

"Advanced Mechanics of Piezoelectricity" offers a finished remedy of piezoelectric fabrics utilizing linear electroelastic idea, symplectic versions, and Hamiltonian platforms. It summarizes the present country of perform and offers the latest examine findings in piezoelectricity. it's meant for researchers and graduate scholars within the fields of utilized mechanics, fabric technology and engineering, computational engineering, and aerospace engineering.

Dr. Qinghua Qin is a professor on the institution of Engineering, Australian nationwide collage, Australia.

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2 Distribution of stresses and geometry of rk and Wk. 112) U Using Eq. 113) The difference between the displacement at R and that at r or the fiber surface at any point x can be obtained by integrating Eq. 113) with respect to U : u R  ur uR ³u r du Wir R Gm ³r 1 U dU Wir Gm where R=D/2. Substituting Eq. 114) into Eq. 115) To determine the stress built up along the fiber, we need to establish the relationship of uR and ur with the fiber stress or strain. To simplify the following derivation, assume the fiber has no shear deformation, then ur = uf for any position r.

The chapter begins with a summary of the potential function method in piezoelectricity, followed by a discussion of other methods including Lekhnitskii formalism, techniques of Fourier transformation, the Trefftz finite element method(FEM), the Fredholm integral equation and Abel equation, the shear-lag model, the symplectic method, and the state space approach. 1 Potential function method Potential function formulation is well known for solving the system of equations in both the classical theory of elasticity and piezoelectricity.

Springer-Verlag, New York (1991). Cox HL: The elasticity and strength of paper and other fibrous materials. ), 72-79 (1952). Zhong WX, Williams FW: Physical interpretation of the symplectic orthogonality of the eigensolutions of a Hamiltonian or symplectic matrix. Computers and Structures 49, 749-750 (1993). Lim CW, Xu XS: Symplectic elasticity: theory and applications. Applied Mechanics Reviews 63, 050802 (2010). Wang JS: Study on interface mechanics and local effects of multi-field coupled materials.

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