caa a22 4500 475797094 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/s000330050005 doi (NATIONALLICENCE)springer-10.1007/s000330050005 The elastic motion of a transversely isotropic, piezoelectric solid caused by impulsive loading [Elektronische Daten] [C. H. Daros, H. Antes] Abstract.: Based on a monograph by Payton on the wave propagation in transversely isotropic media, some new results for piezoelectric solids are presented here. The dynamic Green's tensors for the displacement fields along the symmetry axis for two- and three-dimensions concerning some piezoelectric solids of the crystal class 6mm are discussed. The central result of this paper is to show that the set of differential equations for linear, quasi-electrostatic piezoelectricity is, when eliminating e.g. the electric potential in a transformed domain, quasi-hyperbolic in the sense defined by Gal'pern. Only when specific constraints are attended, one obtains a hyperbolic operator, guaranteeing the well-posedness and solvability of the Cauchy problem. Birkhäuser Verlag, Basel,, 2000 Key words. Wave propagation in piezoelectric solids, transversely isotropic, integral transforms, fundamental solutions, quasi-hyperbolic operator nationallicence Daros C. H. Institut für Angewandte Mechanik, TU Braunschweig, Spielmannstrasse 11, D-38106 Braunschweig, Germany, DE aut Antes H. Institut für Angewandte Mechanik, TU Braunschweig, Spielmannstrasse 11, D-38106 Braunschweig, Germany, DE aut https://doi.org/10.1007/s000330050005 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050005 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Daros C. H. Institut für Angewandte Mechanik, TU Braunschweig, Spielmannstrasse 11, D-38106 Braunschweig, Germany, DE aut NATIONALLICENCE 700 1- Antes H. Institut für Angewandte Mechanik, TU Braunschweig, Spielmannstrasse 11, D-38106 Braunschweig, Germany, DE aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer