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Abstrakty
The two-dimensional deformation of homogeneous, thermally conducting monoclinic material as a result of inclined line load is investigated by applying the fourier transform. the inclined load is assumed to be a linear combination of a normal load and a tangential load. the displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. the variations of these quantities have been depicted graphically for a zinc crystal-like material in the coupled thermoelasticity (ct) and uncoupled thermoelasticity (UCT) for an insulated boundary.
Rocznik
Tom
Strony
923--938
Opis fizyczny
Bibliogr. 27 poz., wykr.
Twórcy
autor
autor
- Mathematics Department, Kurukshetra University Kurukshetra 136119 Haryana, INDIA, leena_kuk@rediffmail.com
Bibliografia
- Barnett D.M. and Lothe J. (1974): Consideration of the existence of surface wave (Rayleigh wave) solutions in anisotropic elastic crystals. - Journal of Physics F: Metal Physics, vol.4, pp.671-686.
- Banerjee D.K. and Pao Y.H. (1974): Thermoelastic waves in anisotropic solids. - J. Acoust. Soc. Am., vol.56, pp.1444-1453.
- Chadwick P. (1976): The existence of pure surface modes in elastic materials with orthorhombic symmetry. - Journal of Sound and Vibration, vol.47, No.1, pp.39-52.
- Destrade M. (2001): The explicit secular equation for surface acoustic waves in monoclinic elastic crystals. - J. Acoust. Soc. Am., vol.109, No.4, pp.1398-1402.
- Dhaliwal R.S. and Sherief H.H. (1980): Generalized thermoelasticity for anisotropic media. - Q. Appl. Math., vol.38, No.1, pp.1-8.
- Dhaliwal R.S. and Singh A. (1980): Dynamic Coupled Thermoelasticity. - 726, Hindustan Publ. Corp., New Delhi, India.
- Domanski W. and Jablonski T. (2001): On resonances of nonlinear elastic waves in cubic crystal. - Arch. Mech., vol.53, No.2, pp.91-104.
- Gerstle F.P. and Pearsall G.W. (1974): The stress response of an elastic surface to a high velocity, unlubricated punch. - ASME Jounal of Applied Mechanics, vol.41, pp.1036-10.
- Honig G. and Hirdes U. (1984): A method for the numerical inversion of Laplace transform. - Journal of Computational and Applied Mathematics, vol.10, pp.113-132.
- Kumar R., Miglani A. and Garg N.R. (2000): Plane strain problem of poroelasticity using eigenvalue approach. -Proceeding Indian Acad. Sci. (Earth Planet Sci.), vol.109, pp.371-380.
- Kumar R., Miglani A. and Garg N.R. (2002): Response of an anisotropic liquid- saturated porous medium due to two-dimensional sources. - Proceeding Indian Acad. Sci. (Earth Planet Sci.), vol.111, pp.143-151.
- Kumar R. and Rani L. (2005a): Deformation due to inclined load in thermoelastic half-space with voids. - Arch. Mech. vol.57, pp.7-24.
- Kumar R. and Rani L. (2005b): Response of thermoelastic half-space with voids due to inclined load. - International Journal of Applied Mechanics and Engineering, vol.10, pp.281-294.
- Kuo J.T. (1969): Static response of a multilayered medium under inclined surface loads. - Journal of Geophysical Research, vol.74, pp.3195-3207.
- Lin W. and Zhao Y.-Q. (1995): On the plane problem of orthotropic quasi-static thermoelasticity. - Journal of Elasticity, vol.41, pp.161-175.
- Love A.E.H. (1944): A Treatise on the Mathematical Theory of Elasticity. - Dover Publications, New York.
- Maruyama T. (1966): On two-dimensional elastic dislocations in an infinite and semi-infinite medium. - Bull. Earthq. Res. Inst., vol.44, pp.811-871.
- Musgrave M.J.P. (1981): On an elastodynamic classification of orthorhombic media. - Proc. R. Soc. Lond. A., vol.374, pp.401-429.
- Okada Y. (1985): Surface deformation due to inclined shear and tensile faults in a homogeneous isotropic half-space. - Bull. Seismol. Soc. Am., vol.75, pp.1135-1154.
- Okada Y. (1992): Internal deformation due to shear and tensile faults in a half-space. Bull. Seismol. Soc. Am., vol.82, pp.1018-1040.
- Pao Y.H. and Banerjee D.K. (1973): Thermal pulses in dielectric crystals. - Lett. Appl. Eng. Sci., vol.1, pp.33-41.
- Press W.H., Teukolshy S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes. - Cambridge: Cambridge University Press.
- Royer D. and Dieulesaint E. (1984): Rayleigh wave velocity and displacement in orthorhombic, tetragonal, hexagonal and cubic crystals. - J. Acoust. Soc. Am., vol.76, No.5, pp.1438-1444.
- Sharma J.N. and Singh H. (1990): Propagation of generalized thermoelastic waves in cubic crystals. - Arch. Mech., vol.42, No.1, pp.19-30.
- Sharma J.N., Kumar V. and Sud S.P. (2000): Plane harmonic waves in orthorhombic thermoelastic material. - J. Acoust. Soc. Am., vol.107, No.1, pp.293-305.
- Singh H. and Sharma J.N. (1984): Generalized thermoelastic waves in transversely isotropic media. - J. Acoust. Soc. Am., vol.77, No.3, pp.1046-1053.
- Verma K.L. and Hasebe N. (2001): Wave propagation in plates of general anisotropic media in generalized thermoelasticity. - Int. J. Eng. Sci., vol.39, pp.1739-1763.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0040-0004