caa a22 4500 445811579 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00419-010-0461-4 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0461-4 Elements of study on dynamic materials [Elektronische Daten] [Martine Rousseau, Gérard Maugin, Mihhail Berezovski] As a preliminary study to more complex situations of interest in small-scale technology, this paper envisages the elementary propagation properties of elastic waves in one-spatial dimension when some of the properties (mass density, elasticity) may vary suddenly in space or in time, the second case being of course more original. Combination of the two may be of even greater interest. Toward this goal, a critical examination of what happens to solutions at the crossing of pure space-like and time-like material discontinuities is given together with simple solutions for smooth transitions and numerical simulations in the discontinuous case. The effects on amplitude, speed of propagation, frequency changes and the appearance of a Doppler-like effect are demonstrated although the whole physical system remains linear. Springer-Verlag, 2010 Dynamic materials nationallicence Wave propagation nationallicence Elasticity nationallicence Inhomogeneity nationallicence Interfaces nationallicence Doppler effect nationallicence Rousseau Martine Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, UMR CNRS 7190, Case 162, Tour 55, 4 place Jussieu, 75252, Paris Cedex 05, France aut Maugin Gérard Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, UMR CNRS 7190, Case 162, Tour 55, 4 place Jussieu, 75252, Paris Cedex 05, France aut Berezovski Mihhail Tallinn University of Technology, Center for Nonlinear Science, Akadeemia tee 21, 12618, Tallinn, Estonia aut Archive of Applied Mechanics Springer-Verlag 81/7(2011-07-01), 925-942 0939-1533 81:7<925 2011 81 419 https://doi.org/10.1007/s00419-010-0461-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0461-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rousseau Martine Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, UMR CNRS 7190, Case 162, Tour 55, 4 place Jussieu, 75252, Paris Cedex 05, France aut NATIONALLICENCE 700 1- Maugin Gérard Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, UMR CNRS 7190, Case 162, Tour 55, 4 place Jussieu, 75252, Paris Cedex 05, France aut NATIONALLICENCE 700 1- Berezovski Mihhail Tallinn University of Technology, Center for Nonlinear Science, Akadeemia tee 21, 12618, Tallinn, Estonia aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/7(2011-07-01), 925-942 0939-1533 81:7<925 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer