Advanced Mechanics of Piezoelectricity by Qinghua Qin

By Qinghua Qin

"Advanced Mechanics of Piezoelectricity" provides a entire therapy of piezoelectric fabrics utilizing linear electroelastic idea, symplectic types, and Hamiltonian structures. It summarizes the present kingdom of perform and provides the latest examine findings in piezoelectricity. it really is 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 university of Engineering, Australian nationwide collage, Australia.

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Accessed 15 March 2011. Qin QH: Variational formulations for TFEM of piezoelectricity. International Journal of Solids and Structures 40(23), 6335-6346 (2003). Parton VZ: Fracture mechanics of piezoelectric materials. Acta Astronautica 3, 671-683 (1976). Hao TH, Shen ZY: A new electric boundary condition of electric fracture mechanics and its applications. Engineering Fracture Mechanics 47(6), 793-802 (1994). Suo Z, Kuo CM, Barnett DM, Willis JR: Fracture mechanics for piezoelectric ceramics. Journal of the Mechanics and Physics of Solids 40(4), 739-765 (1992).

Particularly, the Trefftz FEM has recently received attention from researchers in the field of solid mechanics. In the literature there are only a few papers addressing the application of Trefftz FEM to piezoelectric problems. Qin [12,13] introduced the Trefftz FEM for piezoelectric problems in 2003. Wang et al. [14] used Trefftz FEM and computed eigensolutions to determine singular electroelastic fields in piezoelectricity. In this section, the application of Trefftz FEM to piezoelectric problems is briefly examined.

67), presented above, the element matrix equation can be generated by a variational approach [15]. 69) te Substituting the expressions given in Eqs. 74) 34 Chapter 2 Solution Methods To enforce inter-element continuity on the common element boundary, the unknown vector c should be expressed in terms of nodal DOF d. 78) G Te H e1h e  g e are, respectively, the element stiffness matrix and the equivalent nodal flow vector. 78) is the elemental stiffness-matrix equation for Trefftz FE analysis. 5 Integral equations An integral equation is, mathematically, an equation in which an unknown function appears under an integral sign.

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