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Erschienen in: Mechanics of Composite Materials 3/2015

01.07.2015

Effect of Imperfect Contact on the Dispersion of Generalized Rayleigh Waves in a System Consisting of a Prestressed Layer and a Prestressed Half-Plane

verfasst von: S. D. Akbarov, M. Negin, C. Ipek

Erschienen in: Mechanics of Composite Materials | Ausgabe 3/2015

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Abstract

The effect of shear-spring + normal-spring-type imperfect contact conditions on the dispersion of generalized Rayleigh waves in a system consisting of a two-axially prestressed covering layer and a two-axially prestressed half-plane is investigated. A three-dimensional linearized theory of elastic waves in initially stressed bodies is utilized, and a plane strain state is considered. The elasticity relations for materials of the constituents are described by the Murnaghan potential. Numerical results obtained for the effect of the parameters entering in the imperfect contact conditions on wave dispersion curves are presented and discussed.

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Literatur
1.
Zurück zum Zitat A. N. Guz, “Elastic waves in bodies with initial (residual) stresses,” Int. Appl. Mech., 38, No. 1, 23-59 (2002).CrossRef A. N. Guz, “Elastic waves in bodies with initial (residual) stresses,” Int. Appl. Mech., 38, No. 1, 23-59 (2002).CrossRef
2.
Zurück zum Zitat A. N. Guz, “On foundations of the ultrasonic non-destructive method of determination of stresses in near-the-surface layers of solid bodies,” CMES: Computer Modeling in Engineering and Sciences, 8, No. 3. 217-230 (2005). A. N. Guz, “On foundations of the ultrasonic non-destructive method of determination of stresses in near-the-surface layers of solid bodies,” CMES: Computer Modeling in Engineering and Sciences, 8, No. 3. 217-230 (2005).
3.
Zurück zum Zitat S. D. Akbarov, “Recent investigations on the dynamical problems of the elastic body with initial (residual) stresses (review),” Int. Appl. Mech., 43, No. 12, 3-27 (2007).CrossRef S. D. Akbarov, “Recent investigations on the dynamical problems of the elastic body with initial (residual) stresses (review),” Int. Appl. Mech., 43, No. 12, 3-27 (2007).CrossRef
4.
Zurück zum Zitat M. A. Biot, Mechanics of Incremental Deformations. Wiley, New York, 1965. M. A. Biot, Mechanics of Incremental Deformations. Wiley, New York, 1965.
5.
Zurück zum Zitat A.C. Eringen, E.S. Suhubi, Elastodynamics, Volume I, Finite Motions, Academic Press, New York, 1975. A.C. Eringen, E.S. Suhubi, Elastodynamics, Volume I, Finite Motions, Academic Press, New York, 1975.
6.
Zurück zum Zitat A. N. Guz, Elastic waves in Bodies with Initial (Residual) Stresses, “A.S.K”, Kiev, 2004 (in Russian). A. N. Guz, Elastic waves in Bodies with Initial (Residual) Stresses, “A.S.K”, Kiev, 2004 (in Russian).
7.
Zurück zum Zitat S. D. Akbarov, “The influence of third order elastic constants on axisymmetric wave propagation velocity in the twolayered pre-stressed hollow cylinder,” CMC: Computers, Materials and Continua, 32, No. 1, 29-60 (2012). S. D. Akbarov, “The influence of third order elastic constants on axisymmetric wave propagation velocity in the twolayered pre-stressed hollow cylinder,” CMC: Computers, Materials and Continua, 32, No. 1, 29-60 (2012).
8.
Zurück zum Zitat S. D. Akbarov and C. Ipek, “Dispersion of axisymmetric longitudinal waves in the pre-strained imperfectly bonded bi-layered hollow cylinder,” CMC: Computers, Materials and Continua, 30, No. 2, 99-144 (2012). S. D. Akbarov and C. Ipek, “Dispersion of axisymmetric longitudinal waves in the pre-strained imperfectly bonded bi-layered hollow cylinder,” CMC: Computers, Materials and Continua, 30, No. 2, 99-144 (2012).
9.
Zurück zum Zitat S. D. Akbarov, E. R. Agasiyev, and A. D. Zamanov, “Wave propagation in a pre-strained compressible elastic sandwich plate,” Europ. J. of Mechanics A/Solids, 30, 409-422 (2011).CrossRef S. D. Akbarov, E. R. Agasiyev, and A. D. Zamanov, “Wave propagation in a pre-strained compressible elastic sandwich plate,” Europ. J. of Mechanics A/Solids, 30, 409-422 (2011).CrossRef
10.
Zurück zum Zitat S. I. Rokhlin and Y. J. Wang, “Analysis of boundary conditions for elastic wave interaction with an interface between two solids,” J. of the Acoustical Soc. Am., 89, 503-515 (1991).CrossRef S. I. Rokhlin and Y. J. Wang, “Analysis of boundary conditions for elastic wave interaction with an interface between two solids,” J. of the Acoustical Soc. Am., 89, 503-515 (1991).CrossRef
11.
Zurück zum Zitat P. A. Martin, “Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers,” J. of Nondestructive Evaluation, 11, 167-174 (1992).CrossRef P. A. Martin, “Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers,” J. of Nondestructive Evaluation, 11, 167-174 (1992).CrossRef
12.
Zurück zum Zitat S. D. Akbarov and C. Ipek, “The influence of the imperfectness of the interface conditions on the dispersion of the axisymmetric longitudinal waves in the pre-strained compound cylinder,” CMES: Computer Modeling in Engineering and Sciences, 70, No. 2, 93-121 (2010). S. D. Akbarov and C. Ipek, “The influence of the imperfectness of the interface conditions on the dispersion of the axisymmetric longitudinal waves in the pre-strained compound cylinder,” CMES: Computer Modeling in Engineering and Sciences, 70, No. 2, 93-121 (2010).
13.
Zurück zum Zitat T. Kepceler, “Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder with an imperfect interface,” Appl. Mathem. Modeling, 34, 4058–4073 (2010).CrossRef T. Kepceler, “Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder with an imperfect interface,” Appl. Mathem. Modeling, 34, 4058–4073 (2010).CrossRef
14.
Zurück zum Zitat S. D. Akbarov and M. Ozisik, “The influence of the third order elastic constants to the generalized Rayleigh wave dispersion in a pre-stressed stratified half-plane,” Int. J. of Eng. Sci., 41, 2047-2061 (2003).CrossRef S. D. Akbarov and M. Ozisik, “The influence of the third order elastic constants to the generalized Rayleigh wave dispersion in a pre-stressed stratified half-plane,” Int. J. of Eng. Sci., 41, 2047-2061 (2003).CrossRef
15.
Zurück zum Zitat I. Tolstoy and E. Usdin, “Dispersive properties of stratified elastic and liquid media: A ray theory,” Geophysics, 18, 844-870 (1953).CrossRef I. Tolstoy and E. Usdin, “Dispersive properties of stratified elastic and liquid media: A ray theory,” Geophysics, 18, 844-870 (1953).CrossRef
Metadaten
Titel
Effect of Imperfect Contact on the Dispersion of Generalized Rayleigh Waves in a System Consisting of a Prestressed Layer and a Prestressed Half-Plane
verfasst von
S. D. Akbarov
M. Negin
C. Ipek
Publikationsdatum
01.07.2015
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 3/2015
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-015-9510-y

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