Small vibrations of prestrained constrained elastic materials: The idealized fibre-reinforced material

Scott, N. H. (1991) Small vibrations of prestrained constrained elastic materials: The idealized fibre-reinforced material. International Journal of Solids and Structures, 27 (15). pp. 1969-1980.

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Abstract

We derive the general equations satisfied by small vibrations of arbitrary form superimposed upon a finite, static deformation (not necessarily homogeneous) of an elastic body of arbitrary anisotropy suffering an unspecified number of constraints of fully general form. Specialization is then made to a fibre-reinforced material, modelled here as an incompressible material that is inextensible in the fibre direction. The slowness surface is a one-sheeted, centro-symmetric surface except that two slownesses are possible for waves travelling along, or normal to, the fibredirection. In many of these exceptional directions the slowness surface exhibits singular behaviour which is fully discussed. Numerical illustrations are presented.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:23
Last Modified:	24 Sep 2024 10:35
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20838
DOI:	10.1016/0020-7683(91)90189-M

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