caa a22 4500 469081074 CHVBK 20180323132950.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01174171 doi (NATIONALLICENCE)springer-10.1007/BF01174171 Aspects of energy propagation in highly anisotropic elastic solids [Elektronische Daten] [G. Rogerson, N. Scott] Summary: Anomalies in the theory of wave propagation in constrained materials may be reconciled with the standard theory of wave propagation in unconstrained materials by relaxing the constraint slightly and then taking the limit as the constraint is obeyed exactly. In this paper the same method is employed in an attempt to reconcile anomalies in the propagation of energy in a constrained material with the known propagation propertics for unconstrained materials. On relaxing the constraint in a singly constrained material, it is found that the energetics associated with two of the three propagating waves tend to the appropriate known forms for the corresponding constrained material in the limit where the constraint holds exactly. The third wave has no counterpart in the constrained theory and it is conjectured that both the total energy density and the energy flux vector tend to zero as the constrained limit is approached. This conjecture is shown to be true for two simple boundary value problems involving incompressible, and inextensible, elastic half-spaces. Springer-Verlag, 1992 Rogerson G. Department of Theoretical Mechanics, University of Nottingham, NG7 2RD, Nottingham, UK aut Scott N. School of Mathematics, University of East Anglia, NR4 7TJ, Norwich, UK aut Acta Mechanica Springer-Verlag 92/1-4(1992-03-01), 129-141 0001-5970 92:1-4<129 1992 92 707 https://doi.org/10.1007/BF01174171 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01174171 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rogerson G. Department of Theoretical Mechanics, University of Nottingham, NG7 2RD, Nottingham, UK aut NATIONALLICENCE 700 1- Scott N. School of Mathematics, University of East Anglia, NR4 7TJ, Norwich, UK aut NATIONALLICENCE 773 0- Acta Mechanica Springer-Verlag 92/1-4(1992-03-01), 129-141 0001-5970 92:1-4<129 1992 92 707 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer