The propagation of waves resulting from the sudden application of a force to the surface of a cylindrical cavity in an infinite fibre reinforced solid is considered. The fibres are assumed to be circumferential to the cavity and uniformly distributed so that the material may be regarded as a highly anisotropic homogeneous elastic solid. The stress distribution within the solid is determined for certain values of the elastic constants. Numerical results are presented in graphical form.
Get full access to this article
View all access options for this article.
References
1.
F.C. Moon, "Wave surfaces due to impact on anisotropic plates," J. Composite Materials, Vol. 6 ( 1972), p. 62.
2.
C.T. Sun, J.D. Achenbach and G. Herrmann, "Continuum theory for a laminated medium," J. Appl. Mech. , Vol. 35 (1968), p. 467.
3.
G. Eason, "Propagation of waves from spherical and cylindrical cavities," ZAMP, Vol. 14 (1963), p. 12.
4.
A.E.H. Love, The mathematical theory of elasticity, Cambridge University Press (1920).
5.
G.N. Watson, A treatise on the theory of Bessel functions, Cambridge University Press (1922).
6.
M.D. Heaton , "A calculation of the elastic constants of a unidirectional fibre-reinforced composite," Brit. J. Appl. Phys. (J. Phys. D.), Vol. 1 (1968 ), p. 1039.
7.
H.W. Turnbull, Theory of equations, Oliver and Boyd ( 1947).
8.
H.L. Selberg , "Transient compression waves from spherical and cylindrical cavities," Ark. for Fys., Vol. 5 (1952), p. 97.
