Correlation between the solutions of the generalized and classical thermomechanics of deformed solids
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Abstract
The article establishes a correlation beween the solutions of boundary problems of classical and generalized heat conduction, and also between the solutions of problems of various sections of the thermomechanics of deformed solids.
Keywords
Statistical Physic Heat Conduction Generalize Heat Boundary Problem Generalize Heat Conduction
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Literature cited
- 1.P. Vernotte, “Les paradoxes de la theorie continue l'equation de la chaleur,” C. R. Acad. Sci.,246, No. 22, 3154–3155 (1958).Google Scholar
- 2.M. C. Cattaneo, “Sur une forme de l'equation de la chaleur eliminant la paradoxes une propagation instante,” C. R. Acad. Sci.,247, No. 4, 431–433 (1958).Google Scholar
- 3.A. V. Lykov, “Application of the methods of the thermodynamics of irreversible processes to the investigation of heat and mass exchange,” Teor. Osn. Khim. Tekhnol.,1, No. 5, 627–641 (1967).Google Scholar
- 4.M. E. Gurtin and A. C. Pipkin, “A general theory of heat conduction with finite wave speeds,” Arch. Rat. Mech. Anal.,31, No. 2, 113–126 (1968).Google Scholar
- 5.A. V. Lykov, Heat and Mass Exchange (Handbook) [in Russian], Énergiya, Moscow (1978).Google Scholar
- 6.Ya. S. Podstrigach and Yu. M. Kolyano, Generalized Thermomechanics [in Russian], Naukova Dumka, Kiev (1976).Google Scholar
- 7.Ya. S. Podstrigach (ed.), Thermomechanics. Bibliographic Index [in Russian], Parts 1, 2, Izd. L'vovskoi Nauchnoi Biblioteki Im. V. Stefanika AN USSR, Lvov (1980).Google Scholar
- 8.A. G. Shashkov and T. N. Abramenko, “The structure of heat conduction,” Inzh.-Fiz. Zh.,28, No. 5, 884–893 (1975).Google Scholar
- 9.A. G. Shashkov and S. Yu. Yanovskii, “The structure of thermal stresses,” Inzh.-Fiz. Zh.,33, No. 5, 912–921 (1977).Google Scholar
- 10.A. G. Shashkov and S. Yu. Yanovskii, “The structure of thermal stresses arising in a viscoelastic half-space with thermal memory,” Inzh.-Fiz. Zh.,37, No. 5, 894–897 (1979).Google Scholar
- 11.B. P. Korol'kov and A. A. Pupin, “Representation of the solutions of the problem of the dynamics of highly intensive heat exchange,” Inzh.-Fiz. Zh.,37, No. 1, 157–164 (1979).Google Scholar
- 12.V. N. Smirnov, “Equations of the generalized thermoelasticity of Kosser's medium,” Inzh.-Fiz. Zh.,39, No. 4, 716–723 (1980).Google Scholar
- 13.G. Parkus, Nonsteady Thermal Stresses [Russian translation], Fizmatgiz, Moscow (1963).Google Scholar
- 14.V. N. Smirnov, “Equations of thermoviscoelasticity of Kosser's medium with thermal memory,” Inzh.-Fiz. Zh.,42, No. 4, 665–670 (1982).Google Scholar
- 15.W. Fulks and R. Guenther, “Hyperbolic potential theory,” Arch. Rat. Mech. Anal.,49, No. 2, 81–88 (1972).Google Scholar
- 16.I. A. Novikov, “Three-dimensional potentials for the telegraph equation and their application to boundary problems of heat conduction,” Inzh.-Fiz. Zh.,36, No. 1, 139–146 (1979).Google Scholar
- 17.I. A. Novikov and V. N. Smirnov, “Three-dimensional potentials for the equation of heat conduction with memory,” Inzh.-Fiz. Zh.,41, No. 3, 551–552 (1981). Manuscript presented to the editorial board of Inzh.-Fiz. Zh., Minsk, 1981. Deposited at VINITI, No. 804-81.Google Scholar
- 18.D. Bland, Theory of Linear Viscoelasticity [Russian translation], Mir, Moscow (1965).Google Scholar
- 19.V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili, and T. V. Burchuladze, Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity [in Russian], Nauka, Moscow (1976).Google Scholar
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