Effects of viscosity and stiffness on wave propagation in micropolar viscoelastic media

• Autorzy: Kumar R. , Sharma N.
• Języki publikacji: EN

Abstrakty

EN

The problem of a reflection and transmission of plane waves at an imperfect interface between two homogeneous, isotropic micropolar viscoelastic half-spaces of different properties is studied. The expressions for the reflection and transmission coefficients which are the ratios of the amplitude of reflected and transmitted waves to the angle of incident wave are obtained and deduced for the normal force stiffness, transverse force stiffness, transverse couple stiffness and perfect bonding. Viscous and stiffness effects on these amplitude ratios with angle of incidence have been shown graphically. Some special cases of interest have been deduced from the present investigation.

Słowa kluczowe

EN

micropolar viscoelastic solid; wave propagation; normal force stiffness; transverse force stiffness; transverse couple stiffness; perfect bonding; amplitude ratios

PL

propagacja fal; lepkość; lepkosprężystość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 2
• Strony: 415--431
• Opis fizyczny: Bibliogr. 29 poz., wykr.

Twórcy

autor

Kumar R.

autor

Sharma N.

• Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, INDIA,

Bibliografia

• Angel T.C. and Achenbach J.D. (1985): Reflection and transmission of elastic waves by a periodic array of crack. - J. App. Mech., vol.52, pp.33-41.
• Baik J.M. and Thompson R.B. (1984): Ultrasonic scattering from imperfect interfaces a quasi-static model. - J. Nondestr Eval, vol.4, pp.177-196.
• Brune J.N. (1970): Tectonic stress and the spectra of seismic shear waves from earthquakes. - J Geophys Res, vol.75, pp.4997-5009.
• McCharty M.F. and Eringen A.C. (1969): Micropolar viscoelastic waves. - Int. J. Eng. Sci., vol.7, pp.447-458.
• Chen W.Q., Cai J.B., Ye G.R. and Wang Y.F. (2004): Exact three-dimensional solutions of laminated orthotropic piezoelectric rectangular plates featuring interlaminar bonding imperfections modeled by a general spring layer. - International Journal of Solids and Structures, vol.41, pp.5247-5263.
• Eringen A.C. (1967): Linear theory of micropolar viscoelasticity. - Int. J. Eng. Sci., vol.5, pp.191-204.
• Eringen A.C. (1970): Foundations of micropolar thermoelasticity[M]. - Course of Lectures, No.23, CISM Udine, Springer, Berlin.
• Eringen A.C. (1984): Plane waves in non-local micropolar elasticity. - Int. J. Eng. Sci., vol.22, pp.1113-1121.
• Fan H. and Sze K.Y. (2001): A micro-mechanics model for imperfect interface in dielectric materials. - Mechanics of Materials, vol.33, pp.363-370.
• Gale C. (2000): On Saint-Venant's problem in micropolar viscoelasticity. - An Stiin. Univ. Al I Cuza Iasi Mat., vol.46, pp.131-148.
• Gauthier R.D. (1982): Experimenal investigations on micropolar media mechanics of micropolar media [M](O. Brulin and R.K.T Hsieh editors). - Singapore: World Scientific.
• Jones J.P. and Whittier J.S. (1967): Waves in a flexible bounded interface. - J. Appl. Mech., vol.34, pp.905-909.
• Kumar R. (2000): Wave propagation in micropolar viscoelastic generalized thermoelastic solid. - Int. J. Eng. Sci., vol.38, pp.1377-1395.
• Kumar R. and Choudhary S. (2001): Dynamical problem of micropolar viscoelasticity. - Proc Indian Acad Sci. (Earth Planet Sci.), vol.110, pp.215-223.
• Kumar R. and Choudhary S. (2005): Deformation due to time harmonic source in orthotropic micropolar viscoelastic medium. - Int. J. Appl. Mech. and Eng., vol.10, No.4, pp.617-629.
• Kumar R. and Choudhary S. (2005): Disturbance due to time harmonic source in orthotropic micropolar viscoelastic medium. - Georgian Mathematical Journal,vol.12, pp.261-272.
• Lavrentyev A.I. and Rokhlin S.I. (1998): Ultrasonic spectroscopy of imperfect contact interfaces between a layer and two solids. - J. Acoust. Soc. Am., vol.103, No.2, pp.657-664.
• Manole D. (1988): Theoreme d'unicite dans la theorie de la viscoelasticite lineaire avec microstructure en utilisant la transformation de Laplace. - Rev. Roumaine Sci. Tech. Ser. Mee. Appl., vol.33, pp.209-214.
• Manole D. (1992): Variational theorems in linear theory of micropolar viscoelasticity. - But. Inst. Politehn. Iasi Sect., vol.38, pp.75-83.
• Murty G.S. (1975): A theoretical model for the attenuation and dispersion of stonely waves at the loosely bounded interface of elastic half-spaces. - Phys. Earth and Planetary Interiors, vol.11, pp.65-79.
• Nayfeh A.H. and Nassar E.M. (1978): Simulation of the influence of bonding materials on the dynamic behaviour of laminated composites. - J. Appl. Mech., vol.45, pp.822-828.
• Pilarski A. and Rose J.L. (1988): A transverse wave ultrasonic oblique-incidence techniquefor interface weakness detection in adhesive bonds. - J. Appl. Phys., vol.63, pp.300-307.
• Rokhlin S.I. (1984): Adhesive joint characterization by ultrasonic surface and interface waves[M]. - Adhesive Joints: Formation, Characteristics and Testing. Edited by K.L .Mittal (plenum, New York), pp.307-345.
• Rokhlin S.I., Hefets M. and Rosen M. (1980): An elastic interface waves guided by thin film between two solids. - J Appl. Phys., vol.51, pp.3579-3582.
• Samsam Shariat B.A. and Eslami M.R. (2006): Thermal buckling of imperfect unctionally graded plates. - International Journal of Solids and Structures, vol.43, pp.4082-4096.
• Shodja H.M., Tabatabaei S.M. and Kamali H.T. (2006): A piezoelectric-inhomogenity system with imperfect interface. - International Journal of Engineering Science, vol.44, pp.291-311.
• Singh B. and Kumar R. (2007): Wave reflection at viscoelastic-micropolar elastic interface. - Applied Mathematics and Computation, vol.185, No.1, pp.421-431.
• Wang X. and Zhong Z. (2003): Three-dimensional solution of smart laminated anisotropic circular cylindrical shellswith imperfect bonding. - International Journal of Solid and Structures, vol.40, pp.5901-5921.
• Yaqin Song, Hongyu Xu and Yuanchong Zhang (2006): Reflection and refraction of micropolar magneto-thermoviscoelastic waves at an interface between two micropolar viscoelastic media. - International Journal of Thermophysics, vol.27, pp.970-993.