Deformation due to moving loads in thermoelastic body with voids

• Autorzy: Kumar R. , Rani L.
• Języki publikacji: EN

Abstrakty

EN

The voids effect of loads which are moving at a constant velocity along one of the coordinate axis in a generalized thermoelastic half-space is studied. The analytical expressions of the displacements, stresses, temperature distribution and change in the volume fraction field for two different theories, i.e., Lord-Shulman (L-S), Green-Lindsay (G-L) are obtained by the use of the Fourier transform technique. The integral transform has been inverted by using a numerical technique and numerical results are illustrated graphically for a magnesium crystal-like material for the insulated boundary and temperature gradient boundary.

Słowa kluczowe

EN

thermoelastic; concentrated force; generalized thermoelasticity; thermal relaxation parameters; Fourier transform

PL

teoria sprężystości; materiały elastyczne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2006
• Tom: Vol. 11, no 1
• Strony: 37--59
• Opis fizyczny: Bibliogr. 37 poz., wykr.

Twórcy

autor

Kumar R.

autor

Rani L.

• Mathematics Department, Kurukshetra University Kurukshetra 136119 Haryana, INDIA,

Bibliografia

• Azarkhin A. and Barber J.R. (1985): Transient thermoelastic contact problem of two sliding half planes. - Wear, vol.102, pp.1-13.
• Barber J.R. (1984): Thermoelastic displacements and stresses due to a heat source moving over the surface of a half plane. - ASME, Journal of Applied Mechanics, vol.51, pp.636-640.
• Barber J.B. and Martin-Moran C.J. (1982): Green's functions for transient thermoelastic contact problems for the half plane. - Wear, vol.79, pp.11-19.
• 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.
• Brock L.M. (1994): Coupled thermoelastic effects in rapid steady-state quasi-brittle fracture. - International Journal of Solids and Structures, vol.31, pp.1537-1548.
• Brock L.M. (1995): Rapid quasi-brittle tearing of a thermoelastic strip. - Acta Mechanica, vol.112, pp.95-106.
• Brock L.M. and Georgiadis H.G. (1997): Steady-state motion of a line mechanical/heat source over a half-space: A thermoelastodynamic solution. - ASME, Journal of Applied Mechanics, vol.64, pp.562-566.
• Brock L.M. and Rodgers M.J. (1997): Steady-state response of a thermoelastic half-space to the rapid motion of surface thermal/mechanical loads. - Journal of Elasticity, vol.47, pp.225-240.
• Bryant M.D. (1988): Thermoelastic solutions for thermal distributions moving over half-space surfaces and application to the moving heat source. - ASME, Journal of Applied Mechanics, vol.55, pp.87-92.
• Carslaw H.S. and Jaeger J.C. (1959): Conduction of Heat in Solids. - New York: Oxford University Press, 2nd Ed..
• Chakravorty S. and Chakravorty A. (1998): Trasient disturbances in a relaxing thermoelastic half-space due to moving internal heat source. - Internat. J. Math. and Math Sci., vol.21, pp.595-602.
• Chirita S. and Scalia A. (2001): On the spatial and temporal behaviour in linear thermoelasticity of materials with voids. - J. Thermal Stresses, vol.24, No.5, pp.433-455.
• Ciarletta M. and Scalia A. (1993): On the non-linear theory of non simple thermoelastic materials with voids. - Z. Angew. Math. Mech., vol.73, No.2, pp.67-75.
• Ciarletta M. and Scarpetta E. (1995): Some results on thermoelasticity for dielectric materials with voids. - Z. Angew. Math. Mech., vol.75, No.9, pp.707-714.
• Cole J. and Huth J. (1958): Stresses produced in a half plane by moving loads. - J. Applied Mechanics, vol.25, pp.433-436.
• Cowin S.C. and Nunziato J.W. (1983): Linear elastic materials with voids. - J. Elasticity, vol.13, pp.125-147.
• Dhaliwal R.S. and Singh A. (1980): Dynamic Coupled Thermoelasticity. - Hindustan Publ. Corp., New Delhi, INDIA.
• 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, No.11, pp.1823-1828.
• Dhaliwal R.S. and Wang J. (1995): A heat-flux dependent theory of thermoelasticity with voids- Acta Mech., vol.110, No.1-4, pp.33-39.
• Eringen A.C. and Suhubi E.S. (1975): Elastodynamics. - New York: Academic Press, vol.2.
• Fung Y.C. (1965): Foundation of Solid Mechanics. - Prentice Hall, Englewood Cliffs, NJ.
• Fung Y.C. (1968): Foundation of Solid Mechanics. - Prentice Hall, New Delhi, INDIA.
• Georgiadis H.G. and Barber J.R. (1993): Steady-state transonic motion of a line load over an elastic half-space: The corrected Cole/Huth solution. - Journal of the Applied Mechanics, vol.60, pp.772-774.
• Green A.E and Lindsay K.A. (1972): Thermoelasticity. - Journal of Elasticity, vol.2, pp.1-7.
• Hills D.A. and Barber J.R. (1985): Steady motion of an insulating rigid flat-ended punch over a thermally conducting half plane. - Wear, vol.102, pp.15-22.
• Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - Journal of the Mechanics and Physics of Solids, vol.15, pp.299-309.
• Marin M. (1997a): An uniqueness result for body with voids in linear thermoelasticity. - Rend. Mat. Appl., vol.17, No.1, pp.103-113.
• Marin M. (1997b): On the domain of influence in thermoelasticity of bodies with voids. - Arch. Math. (Brno), vol.33, No.4, pp.301-308.
• Marin M. (1998): Contributions on uniqueness in thermoelasto-dynamics on bodies with voids. - Cienc. Mat. (Havana), vol.16, No.2, pp.101-109.
• 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.
• 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.
• Pompei A. and Scalia A. (2002): On the asymptotic spatial behavior in linear thermoelasticity of materials with voids. - J. Thermal Stresses, vol.25, No.2, pp.183-193.
• Press W.H., Teukolshy S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes. - Cambridge University Press, Cambridge.
• Puri P. and Cowin S.C. (1985): Plane waves in linear elastic materials with voids. - J. Elasticity, vol.15, pp.167-183.
• Rusu G. (1987): On existence and uniqueness in thermoelasticity of materials with voids. - Bull. Polish Acad. Sci. Tech. Sci., vol.35, No.7-8, pp.339-346.
• Saccomandi G. (1992): Some remarks about the thermoelastic theory of materials with voids. - Rend. Mat. Appl., vol.12, No.1, pp.45-58.
• Scarpetta E. (1995): Well posednesstheorems for linear elastic materials with voids. - Int. J. Eng. Sci., vol.33, No.2, pp.151-161.