Abstract
Generalized Rayleigh waves propagating in a prestressed layer on a prestressed half plane under plane-strain conditions are studied using the piecewise-homogeneous model and the three-dimensional linearized theory of elasticity. The constitutive relations of the layer and half-plane include the Murnaghan potential. Numerical results have been obtained for two materials: bronze for the layer and steel for the half-plane.
Similar content being viewed by others
REFERENCES
S. D. Akbarov O. Ozaydin (2001) ArticleTitleThe effect of initial stresses on harmonic stress fields within the stratified half plane Eur. J. Mech. A/Solids 20 385–396
S. D. Akbarov O. Ozaydin (2001) ArticleTitleLamb’s problem for an initially stressed stratified half-plane Int. Appl. Mech. 37 IssueID10 1363–1367
J. D. Achenbach H. I. Epstein (1967) ArticleTitleDynamic interaction of a layer and a half-space. I Eng. Mech. Div. Proc. Amer. Soc. Civ. Eng. 93 IssueIDM5 24–42
D. M. Barnett J. Lothe S. D. Gavazza M. J. P. Musgrave (1985) ArticleTitleConsideration of the existence of interfacial Stoneley waves in bounded anisotropic elastic half-spaces Proc. Royal Soc. London A402 153–166
C. Cattani J. J. Rushchitsky (2003) ArticleTitleCubically nonlinear elastic waves: wave equations and methods of analysis Int. Appl. Mech. 39 IssueID10 1115–1145
M. A. Dowaikh R. W. Ogdem (1991) ArticleTitleInterfacial waves and deformations in a pre-stressed elastic media IMA Y. Appl. Math. A443 313–328
A. C. Eringen E. S. Suhubi (1975) Linear Theory Academic Press New York 343–1001
A. N. Guz (1986) Elastic Waves in Prestressed Bodies Naukova Dumka Kiev
A. N. Guz (1986) Elastic Waves in Prestressed Bodies Naukova Dumka Kiev
A. N. Guz (2002) ArticleTitleElastic waves in bodies with initial (residual) stresses Int. Appl. Mech. 38 IssueID1 23–59
A. N. Guz (2001) ArticleTitleOn foundation of nondestructive method of determination of three-axial stresses in solids Int. Appl. Mech. 37 IssueID7 899–905
A. N. Guz (2004) ArticleTitleDesign models in linearized solid mechanics Int. Appl. Mech. 40 IssueID5 506–516
A. N. Guz F. G. Makhort (2000) ArticleTitleThe physical fundamentals of the ultrasonic nondestructive stress analysis of solids Int. Appl. Mech. 36 IssueID9 1119–1149
F. D. Murnaghan (1967) Finite Deformation of an Elastic Solid John Wiley New York
M. Ozisik and S. D. Akbarov, “Rayleigh wave propagation in a half-plane covered with a prestressed layer under complete and incomplete interfacial contact,” in: Abstracts of 12th Int. Conf. on Mechanics of Composite Materials, Riga (2002), p. 140.
G. A. Rogerson K. J. Sandiford (2000) ArticleTitleThe effect of finite primary deformations on harmonic waves in layered elastic media Int. J. Solid Struct. 37 IssueID14 2059–2087
A. N. Stroh (1962) ArticleTitleSteady state problems in anisotropic elasticity J. Math. Phys. 41 77–103
I. Tolstoy E. Usdin (1953) ArticleTitleDispersive properties of stratified elastic and liquid media. A ray theory Geophysics 18 844–870
Author information
Authors and Affiliations
Additional information
Published in Prikladnaya Mekhanika, Vol. 40, No. 9, pp. 137–144, September 2004.
Rights and permissions
About this article
Cite this article
Akbarov, S.D., Ozisik, M. Dynamic interaction of a prestressed nonlinear elastic layer and a half-plane. Int Appl Mech 40, 1056–1063 (2004). https://doi.org/10.1007/s10778-005-0011-x
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-005-0011-x