caa a22 4500 475797361 CHVBK 20180406123728.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/s000330050197 doi (NATIONALLICENCE)springer-10.1007/s000330050197 Li S. Shaofan Li, Department of Mechanical Engineering, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, Illinois, IL60208, U.S.A., US aut Transient wave propagation in a transversely isotropic piezoelectric half space [Elektronische Daten] [S. Li] Abstract.: This work presents a systematic analysis on the transient responses of a piezoelectric half space to mixed anti-plane mechanical/in-plane electrical line sources, which is in fact the Lamb's problem for a transversely isotropic piezoelectric half space.¶A key assumption of the classical piezoelectricity theory is the so-called "quasi-static” approximation, and it reduces the Maxwell equations to the charge equation of the electrostatics — an elliptic partial differential equation. Consequently, the dynamic piezoelectricity equations are no longer a hyperbolic system, which then poses serious difficulties in studying the transient behaviors of piezoelectric materials, a problem that has profound engineering significance.¶To circumvent this difficulty, a so-called "quasi-hyperbolic” approximation is introduced in this paper. Under this assumption, the simplified Maxwell-Christoffel equations remain as a hyperbolic system of partial differential equations. Based on the proposed equations, two types of mixed boundary value problems have been solved: (1) anti-plane mechanical line source with boundary surface covered by a conductive film; (2) anti-plane mechanical / in-plane electric line sources with boundary surface abutted to another vacuum half space. In addition to the responses of shear-horizontal (SH) acoustic wave and transverse electric (TE) wave, the closed form solutions obtained here reveal that there exit other transient responses due to the electroacoustic surface wave — the celebrated Bleustein-Gulyaev wave, electroacoustic head wave, as well as a purely electric head wave. Birkhäuser Verlag, Basel,, 2000 Key words. Bleustein-Gulyaev wave, Lamb's problem, Piezoelectricity, Quasi-hyperbolic approximation nationallicence https://doi.org/10.1007/s000330050197 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050197 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Li S. Shaofan Li, Department of Mechanical Engineering, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, Illinois, IL60208, U.S.A., US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer