caa a22 4500 467950504 CHVBK 20180405193741.0 cr unu---uuuuu 170328e20050101xx s 000 0 eng 10.1007/s10808-005-0055-z doi (NATIONALLICENCE)springer-10.1007/s10808-005-0055-z (NATIONALLICENCE)springer-10.1007/s10808-005-0018-4 Ostrosablin N. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk aut Purely transverse waves in elastic anisotropic media [Elektronische Daten] [N. Ostrosablin] Formulas are obtained for decompositions of the third- and fourth-rank tensors symmetric in the last two and three indices, respectively, into irreducible parts invariant relative to the orthogonal group of coordinate transformation. The corresponding parts of the decompositions are orthogonal to each other. These decompositions are used to obtain a general representation of the displacement vectors of plane transverse waves in elastic isotropic and anisotropic solids. It is shown that the displacement vectors of transverse waves are second-, third-, and fourth-degree homogeneous polynomials of the wave normal. Special orthotropic materials are found that transmit purely transverse waves for any direction of the wave normal. The eigenmoduli, eigenstates, and engineering constants (bulk moduli, Young's moduli, Poisson's ratios, shear moduli, and Lamé constants of the closest isotropic materials) are determined for these materials. MAIK "Nauka/Interperiodica”, 2005 eigenstate nationallicence irreducible invariant decomposition nationallicence longitudinal and transverse waves nationallicence anisotropy nationallicence elastic moduli nationallicence eigenmoduli nationallicence eigenstate nationallicence Journal of Applied Mechanics and Technical Physics Nauka/Interperiodica 46/1(2005-01-01), 129-140 0021-8944 46:1<129 2005 46 10808 https://doi.org/10.1007/s10808-005-0055-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10808-005-0055-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ostrosablin N. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Nauka/Interperiodica 46/1(2005-01-01), 129-140 0021-8944 46:1<129 2005 46 10808 NATIONALLICENCE 100 1- Ostrosablin N. Siberian Division, Russian Academy of Sciences, Lavrent'ev Institute of Hydrodynamics, 630090, Novosibirsk aut NATIONALLICENCE 856 40 https://doi.org/10.1007/s10808-005-0018-4 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer