Abstract
The present paper investigates the propagation of waves in an elastic layer containing voids. Numerical calculations and discussions indicate that the velocity of the propagation of waves decreases due to the presence of voids in the material medium of the layer and the voids cause dispersion of the general waveform.
Similar content being viewed by others
References
Chandrasekharaiah D S 1987a Effects of surface stresses and voids on Rayleigh waves in an elastic solid.Int. J. Eng. Sci. 25: 205–211
Chandrasekharaiah D S 1987b A uniqueness theorem in the theory of elastic materials with voids.J. Elast. 18: 173–179
Chandrasekharaiah D S 1987c Plane waves in a rotating elastic solid with voids.Int. J. Eng. Sci. 25: 591–596
Cowin S C 1984 The stresses around a hole in a linear elastic material with voids.Q. J. Mech. Appl. Math. 37: 441–465
Cowin S C, Nunziato J W 1983 Linear elastic materials with voids.J. Elast. 13: 125–147
Iesan D 1985 Some theorems in the theory of elastic materials with voids.J. Elast. 15: 215–224
Lamb H 1916 On waves in an elastic plate.Proc. R. Soc. 93: 114–128
Nunziato J W, Cowin S C 1979 A nonlinear theory of elastic materials with voids.Arch. Ration. Mech. Anal. 72: 175–201
Pal P K, Acharya D, SenGupta P R 1994 Surface waves in elastic solids with voids.Proc. Int. AMSE Conf. on Signals, Data and Systems (Hyderabad: AMSE Press) vol. 2, pp. 17–32
Rayleigh F W 1889 On the free vibrations of an infinite plate of homogeneous isotropic elastic material.Proc. Math. Soc. 20: 225–234
SenGupta P R 1967 On the problem of two layered semi-infinite body of transversely isotropic materials.Indian J. Mech. Math. 5
SenGupta P R, Ghosh B 1974 Effect of couple-stresses on propagation of waves in an elastic layer.Pure Appl. Geophys. 112: 331–338
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pal, P.K., Acharya, D. & Sengupta, P.R. Effect of voids on the propagation of waves in an elastic layer. Sadhana 21, 477–485 (1996). https://doi.org/10.1007/BF02745570
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02745570