Warianty tytułu
Języki publikacji
Abstrakty
A two-dimensional deformation of a homogeneous, isotropic, thermoelastic half-space with voids as a result of an inclined line load is investigated by applying the Laplace and Fourier transforms. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The displacements, stresses, temperature distribution and change in the volume fraction field so obtained in the physical domain are computed numerically. The variations of these quantities have been depicted graphically in the coupled thermoelasticity (CT) and uncoupled thermoelasticity (UCT) for an insulated boundary.
Rocznik
Tom
Strony
281-294
Opis fizyczny
Bibliogr. 31 poz., wykr.
Twórcy
autor
- Mathematics Department, Kurukshetra University Kurukshetra 136119 Haryana, INDIA, rajneesh_kuk@rediffmail.com
autor
- Doon Valley Institute of Engineering and Technology Outside Jundla Gate, KARNAL, leena_1973@rediffmail.com
Bibliografia
- [1] Birsan M. (2000): Existence and uniqueness of weak solution in the linear theory of elastic shells with voids. - Libertas Math., vol.20, pp.95-105.
- [2] Cowin S.C. and Nunziato J. W. (1983): Linear elastic materials with voids. - J. Elasticity, vol.l3, pp.125-l47.
- [3] Chirita S. and Scalia A. (2001): On the spatial and temporal behaviour in linear thermoelasticity of materials with voids. - J. Thermal Stresses, vol.24, pp.433-455.
- [4] Ciarletta M. and Scalia A. (1993): On the nonlinear theory of nonsimple thermoelastic materials with. voids. - Z. Angew. Math. Mech., vol.73, pp.67-75.
- [5] Ciarletta M. and Scarpetta E. (1995): Some results on thermoelasticity for dielectric materials with voids. - Z. Angew. Math. Mech., vol.75, pp.707-714.
- [6] Ciarletta M., Iovane G. and Sumbatyan M.A. (2003): On stress analysis for cracks in elastic materials with voids. - Int. J. Eng. Sci., vol.41, pp.2447-2461.
- [7] Dhaliwal R.S. and Wang J. (1994): Domain of influence theorem in the theory of elastic materials with voids. - Int. J. Eng. Sci., vol.32, pp.1823-1828.
- [8] Ohaliwal R.S. and Wang J. (1995): A heat-flux dependent theory of thermoelasticity with voids. - Acta Mech., vol.110, pp.33-39.
- [9] Dhaliwal R.S. and Singh A. (1980): Dynamie Coupled Thermoelasticity - New Delhi, India: Hindustan Publ. Corp., p.726.
- [10] 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.1036-1040.
- [11] Honig G. and Hirdes U. (1984): A method for the numerical inversion of Laplace transform. - Journal of Cornputational and Applied Mathematics, vol.l0, pp.1l3-l32.
- [12] 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.
- [13] Kumar R., Miglani A. and Garg N.R. (2002): Response of an anisotropic liquid-saturated porous medium due to two- dimensional sourcess. - Proceeding Indian Acad. Sci. (Earth Planet Sci.), vol.111, pp.143-l51.
- [14] Kuo J.T.. (1969): Static response of a multilayered medium under inclined surface loads. - Journal of Geophysical Research, vol.74, pp.3195-3207.
- [15] Love A.E.H. (1944): A Treatise on the Mathematical Theory of Elasticity. - New York: Dover Publications.
- [16] Maruyama T. (1966): On two-dimensional elastic dislocations in an infinite and semi- infinite medium. - Bull. Earthq. Res. Inst., vol.44, pp.811-871.
- [17] Okada Y. (1985): Surface deformation due to inclined shear and tensile faults in a homogeneous isotropie half-spae. - Bull. Seismol. Soc. Arn., vol.75, pp.1135-1154.
- [18] Okada Y. (1992): Internal deformation due to shear and tensile faults in a half-space. - Bull. Seismol. Soc. Am . vol.82, pp. 1018-1040.
- [19] Marin M. (1997a): An uniqueness result for body with voids in linear thermoelasticity. - Rend. Mat. Appl., vol.17, NO.7, pp.103-113.
- [20] Marin M. (1997b): On the domain of influence in thermoelasticity of bodies with voids. - Arch. Math. (Brno), vo1.33, pp.301-308.
- [21] Marin M. (1998): Contributions on uniqueness in thermoelastodynamics on bodies with voids. - Cienc. Mat. (Havana), vol.l6. pp.101-109.
- [22] Marin M. and Salca H. (1998): A relation of Knopoff-de Hoop type in thermoelasticity of dipolar bodies with voids. - Theoret. Appl. Mech. vol.24, pp.99-110.
- [23] Nunziato J.W. and Cowin S.C. (1979): A nonlinear theory of elastic materials with voids. - Arch. Rational Mech. Anal., vol.72, pp. 175-201.
- [24] Nowacki W. (1986): Thermoelasticity (2nd edn.). - Poland, Warszawa: Pergamon Press, PWN (Polish Scientific Publishers).
- [25] Puri P. and Cowin S.C. (1985): Plane waves in linear elastic materials with voids. - J. Elasticity, vol.15, pp.167-183.
- [26] Pompei A. and Scalia A. (2002): On the asymptotic spatial behavior in linear thermoelasticity of materials with voids. - J. Thermal Stresses, vol.25, pp.183-l93.
- [27] Press S.W.H., Teukolshy S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes FORTRAN (2nd edn.).- Cambridge: Cambridge University Press.
- [28] Rusu G. (1987): On existence and uniqueness in thermoelasticity of materials with voids. - Bull. Polish Acad. Sci. Tech. Sci., vol.35, pp.339-346.
- [29] Saccomandi G. (1992): Some remarks about the thermoelastic theory of materials with voids. - Rend. Mat. Appl., vol.12, NO.7, ppA5-58.
- [30] Scarpetta E. (1995): Well posedness theorems for linear elastic materials with voids. - Int. J. Eng. Sci., vol.33, pp.151-161.
- [31] Sharma J.N. and Singh H. (1985): Thermoelastic surface waves in a transversely isotropic half-space with thermal relaxations. - Indian J. Pure Applied Math., vo1.16, pp.1202-1219.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0013-0058