By Qinghua Qin
"Advanced Mechanics of Piezoelectricity" provides a complete remedy of piezoelectric fabrics utilizing linear electroelastic conception, symplectic types, and Hamiltonian platforms. It summarizes the present country of perform and offers the latest examine findings in piezoelectricity. it truly is meant for researchers and graduate scholars within the fields of utilized mechanics, fabric technological know-how and engineering, computational engineering, and aerospace engineering.
Dr. Qinghua Qin is a professor on the institution of Engineering, Australian nationwide college, Australia.
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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.  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.
The Gao-Mai-Cotterell model  and its modifications [10-12] have provided a theoretical basis for the analysis of stress distribution, interface debonding and friction for the pull-out test, using a fracture mechanics approach. Zhou et al.  reported a theoretical model for evaluation of the interfacial properties of ceramic matrix composites (with no piezoelectric effect) in push-out tests, based on the fracture mechanics approach. For PFC, Liu et al.  presented a theoretical model of fiber pull-out for simulation of the relationship between crack-opening and bridging stress using a shear stress criterion.
It is obvious that Im(KM)>0 for all [. Such a definition is expedient for development of the subsequent derivation. A general solution of Eq. 47) is obtained from a linear combination of the eight eigensolutions, say Fi and Gi 30 Chapter 2 Solution Methods (i=1-4), which are obtained by replacing K in Eq. 49) with K M (M=1-4), when the roots pM are distinct. 53) p[ , f and g are two vector functions of [ to be determined from Note that K the electroelastic boundary conditions of a given problem.