caa a22 4500 475797183 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1007/s000330050019 doi (NATIONALLICENCE)springer-10.1007/s000330050019 Infinitesimal harmonic wave propagation in a homogeneously pre-strained idealised fibre-reinforced layer [Elektronische Daten] [G. A. Rogerson, Z. Cai] Abstract.: An investigation of harmonic wave propagation in an idealised fibre-reinforced layer is carried out in respect of the most general appropriate strain energy function and for propagation along a non-principal direction. The dispersion relation, giving phase speed as an implicit function of wave number, associated with incremental traction free boundary conditions is derived and decomposed into flexural and extensional motions. Some conditions for the existence of surface waves are derived, such a wave speed being the high wave number limit of both fundamental modes. As regards the harmonics, two distinct cases are observed numerically. For both cases asymptotic high wave number expansions are derived which offer an excellent approximation to the numerical solution in the moderate and high wave number region. Birkhäuser Verlag, Basel,, 2000 Key words. Waves, plates, elasticity, dispersion, pre-stress nationallicence Rogerson G. A. Department of Computer and Mathematical Sciences, University of Salford, Salford M4 5WT, UK, Fax: 0044 161 295 5999, UK aut Cai Z. Department of Mechanics, Tianjin University, P.R.China, CN aut https://doi.org/10.1007/s000330050019 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050019 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rogerson G. A. Department of Computer and Mathematical Sciences, University of Salford, Salford M4 5WT, UK, Fax: 0044 161 295 5999, UK aut NATIONALLICENCE 700 1- Cai Z. Department of Mechanics, Tianjin University, P.R.China, CN aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer