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Abstrakty
In the present investigation, axi-symmetric deformation due to a mechanical and thermal source in a homogeneous, isotropic, thermoelastic half-space with voids has been investigated. An integral transform technique has been used to solve the problem. As an application of the problem (i) continuous normal force (ii) normal force over the circular region (iii) thermal point source (iv) thermal source over the circular region have been considered. The components of displacement, stress, temperature distribution and change in volume fraction field are obtained in the transformed domain and inverted numerically using numerical inversion technique. For a specific model, the effect of voids on these quantities has been depicted graphically.
Rocznik
Tom
Strony
447--463
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
autor
- Mathematics Department, Kurukshetra University Kurukshetra 136119 Haryana, INDIA, leena_kuk@rediffmail.com
Bibliografia
- Biot M.A. (1956): Thermoelasticity and irreversible thermodynamics. - J. Appl. Phys., vol.27, pp.240-253.
- Chirita S. and Scalia A. (2001): On the spatial and temporal behavior in linear thermoelasticity of materials with voids. - J. Thermal Stresses, vol.24, No.5, pp.433-455.
- Cowin S.C. and Nunziato J.W. (1983): Linear elastic materials with voids. - J. Elasticity, vol.13, pp.25-147.
- Dhaliwal R.S. and Singh A. (1980): Dynamic Coupled Thermoelasticity. - Hindustan Publ. Corp., New Delhi, India, p.726.
- 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.
- Duhamel J.M.C. (1837): Second memoire sur les phenomenes thermo-mecaniques. - J. de I' Ecole Poly-Technique, vol.15, pp.1-15.
- 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.
- Iesan D. (1986): A theory of thermoelastic materials with voids. - Acta Mech., vol.60, pp.67-89.
- Jeffreys H. (1930): The thermodynamics of an elastic solid. - Proc. Cambr. Philos. Soc., vol.26, pp.101-106.
- Kumar A.B. (1989): Thermoelastic waves from suddenly punched hole in stretched elastic plate. - Indian J. Pure Appl. Math., vol.20, pp.181-188.
- Kumar R. and Rani L. (2005): Deformation due to mechanical and thermal sources in generalized thermoelastic half-space with voids. - J. Thermal Stresses, vol.28, pp.123-145.
- Neumann F. (1855): Vorlesungen uber die theorie der elastizität der festen körpern. - Leipzig.
- Nowacki W. (1962): Thermoelasticity. - Oxford: Permagon Press.
- Nowacki W. (1975): Dynamic problem of thermoelasticity. - Poland: PWN.
- Nowacki W. (1986): Thermoelasticity-2nd edition. - Pergamon Press, PWN-Polish Sscientific Publishers, Warszawa, POLAND.
- 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.
- Press W.H., Teukolshy S.A., Vellerling W.T. and Flannery B.P. (1986): Numerical Recipes. - Cambridge: Cambridge University Press.
- 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. (7), vol.12, No.1, pp.45-58.
- Saxena H.S. and Dhaliwal R.S. (1990): Eigen value approach of coupled thermoelasticity. - J. Thermal Stresses, vol.13, pp.161-175.
- Voigt W. (1910): Lehrbuch Kristall Physik. - Teubner.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0031-0009