Coupled electro-mechanical surface responses induced by electro-mechanical loading moving steadily on piezoelectric half-plane solids

• Published in: Applied mathematical modelling 2016-07, Vol.40 (13-14), p.6256-6266
• Main Authors: Liou, J.Y., Sung, J.C.
• Format: Article
• Language: English
• Subjects: Boundaries; Electro-mechanical surface responses; Generalized Stroh formalism; Half-plane; Joining; Mathematical analysis; Mathematical models; Matrices (mathematics); Monoclinic piezoelectric materials; Piezoelectricity; Steady state; Subsonic speed; Symmetry; Transversely isotropic piezoelectric materials
• ISSN: 0307-904X
• DOI: 10.1016/j.apm.2016.02.018

•Analytical responses of half-plane piezoelectric solid under moving loads derived.•Effects of moving loads on surface responses examined numerically and discussed.•Developing matrices S(v), L(v) for piezoelectric materials for steady state motion. This paper investigates the coupled electro-mechanical surface responses of piezoelectric materials under electro-mechanical surface loading moving steadily with subsonic speed on a piezoelectric half-plane boundary. The electro-mechanical surface responses are exhibited through the elements of four matrices L−1(v), S(v)L−1(v), Ω(v) and Γ(v) for general anisotropic piezoelectric materials. For monoclinic piezoelectric materials with the plane of symmetry at x3=0 and for transversely isotropic piezoelectric materials, explicit expressions of the elements of these four matrices are further exploited in terms of generalized elastic stiffnesses. Numerical example is given for PZT-5H material to illustrate the coupled phenomena of the mechanical (electrical) deformations induced by electrical (mechanical) loadings as the subsonic speed of electro-mechanical surface loading varies.