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Fundamental matrix of the generalized thermoelastic system

Treść / Zawartość
Identyfikatory
Warianty tytułu
PL
Macierz podstawowa układu równań uogólnionej termosprężystości
Języki publikacji
EN
Abstrakty
EN
The fundamental matrix of the generalised thermoelastic system is constructed with interaction between temperature and displacement fields as well as finite rate of heat propagation taken into account. Components of the considered matrix are represented in terms of Laplace transforms of the corresponding functions. These functions are represented as integrals over the segments which connect singular points of their Laplace transforms. The characteristic properties of these functions are investigated.
PL
Macierz podstawowa uogólnionej teorii termosprężystości została skonstruowana dla oddziaływań temperatury, przemieszczeń oraz propagacji ciepła. Elementy macierzy są przedstawione w formie transformat Laplace'a odpowiednich funkcji. Właściwości charakterystyczne tych funkcji zostały zbadane.
Rocznik
Tom
Strony
919--936
Opis fizyczny
Bibliogr. 34 poz., rys.
Twórcy
autor
  • Department of Mechanics and Mathematics University of Lviv, Ukraine
autor
  • Department of Mechanics and Mathematics University of Lviv, Ukraine
Bibliografia
  • 1. CHANDRASEKHARAIAH D.S., 1986, Thermoelastic with Second Sound: A Review, Appl. Mech. Rev., 39, 355-376.
  • 2. DHALIWAL R.S., WANG J., ROKNE J.G., 1995, Small-Time Green's Function in Temperature Rate-Dependent Thermoelastic, J. Thermal Stresses, 18, 13-24.
  • 3. FELSEN L.B., MARCUVITZ N., 1973, Radiation and Scattering of Waves, New Jersey.
  • 4. GAWINECKI J., 1988, Matrix of Fundamental Solutions for the System of Hyperbolic Thermoelastic Theory with Two Relaxation Times and Solution of the Cauchy Problem, Bull. Acad. Pol., Ser. Sc. Techn., 36, 449-466.
  • 5. GAWINECKI .1. HUNG D.D., 1990, Matrix of Fundamental Solutions for the System of Dynamic Equations of Classical Three-Dimensional Thermoelastic Theory, Demonstratio Mathematica, 23, 231-234.
  • 6. IGNACZAK J., 1982, A Note on Uniqueness in Thermoelasticity with One Relaxation Time, J. Thermall Stresses, 5, 257-263.
  • 7. IGNACZAK J., 1989, Generalized Thermoelasticity and its Applications, in: Thermall Stresses III, edit. R.B. Hetnarski, Amsterdam, Elsevier, 279-354.
  • 8. KAHSKI S., 1965, Wave Equation of Thermoelastic, Bull. Acad. Polon. Sci., Ser. Sci. Thechn., 13, 5, 409-416.
  • 9. KIL'CHYNSKA H.A., 1971, Authomodelling Solutions of Interconnected Thermoelastisity Problem for a Halfspace, In: Thermal Stresses in Construction Elements, Kyiv, 11, 23-26, (in Russian).
  • 10. KIL'CHYNSKA H.A., 1971, Coupled Thermoelastic Disturbances in Halfspace under Thermal Shock of its Surface and Finite Speed of Heat Propagation, Dopovydy AN USSR, ser. A, 4, 368-371, (in Ukrainian).
  • 11. KOLPASHCHYKOV V.L., YANOVKIY S.Y., 1979, Coupled Dynamical Thermoelastic Problem for a Halfspace with Taking into Account of a Heat Memory, Ing.-Phis. Journal, 36, 6, 1093-1099, (in Russian).
  • 12. KUPRADZE V.D., HEHELIA T.H., BASHELEYSHVYLY M.O., BURCHULADZE T.V., 1976, Three-Dimensional Problems of Mathematical Theory of Elasticity and Thermoelastic, Nauka, Moskwa.
  • 13. LAZAROV R.D., VYRBANOVA E.A., 1980, Authomodelling Solutions of a Coupled Thermoelastic Problem, United 1st. of Nuclear Investigations. Inform., P5-80-886, 1-9, (in Russian).
  • 14. LENYUK M.P., KOTENKO N.V., 1981, Generalized Coupled Dynamical Thermoelastic Problem for One-Dimension Space, Dopovydy AN USSR, ser. A, 10, 45-50, (in Ukrainian).
  • 15. LORD H.W., SHULMAN Y., 1967, A Generalized Dynamical Theory of Termo-elasticity, J. Mech. Phys. Solids, 15, 5, 299-309.
  • 16. MOKRYK R.I., PYRYEV YU.A., 1981, Some Questions of a Coupled Fields Theory in Mechanics of Integral Environment, Dopovydy AN USSR, ser. A, 3, 29-33, (in Russian).
  • 17. MOKRYK R.I., PYRYEV YU.A., 1981, Properties of the Solutions of Generalized Coupled Thermoelastic Dynamical Problems, Prikl. Matematyka % Mekhanika, 45, 5, 912-918, (in Russian).
  • 18. MOKRYK R.I., PYRYEV YU.A., 1982, An Analytical Properties of a Characteristical Parameters of Generalized Thermoelastic, Mat. Metody i Phiz.-Mekh. Polya, 15, 48-52, (in Russian).
  • 19. MOKRYK R.I., PYRYEV Yu.A., 1985, Generalized Cauchy Problem for Linear Differential Equations for Coupled Physical and Mechanical Fields, Prikl Matematyka i Mekhanika, 49, 6, 935-942, (in Russian).
  • 20. NAVAL I.K., SABODASH P.F., 1976, The Numerical Solution of the Coupled Dynamical Thermoelastic Problem for an a Layer with Taking into Account the Finite Speed of Heat Propagation, Izvestiya AN USSR, Mekhanika Tverdogo Tela, A, 108-114, (in Russian).
  • 21. NORWOOD F.R., WARREN W.E., 1969, Wave Propagation in Generalized Dynamical Theory of Thermoelastic, Quart. J. Mech. and Appl. Math., 22, 3, 283-290.
  • 22. NOWACKI W., 1975, Theory of Elasticity, Mir, Moskwa.
  • 23. PODSTRYHACH YA.S., KOLYANO YU.M., 1976, Generalized Thermomechanics, Naukowa Dumka, Kyiv.
  • 24. POPOV E.B., 1967, Dynamical Coupled Thermoelastic Problem for an a Hal-fspace with Taking into Account a Finite Speed of Heat Propagation, Priki Matematyka i Mekhanika, 31, 2, 328-334, (in Russian).
  • 25. SABODASH P.F., CHEBAN V.H., 1971, Cylindrical and Spherical Thermoela¬stic Waves in an Infinite Medium with Finite Speed of Heat Propagation, Izve-stiya AN Mold. SSR, Ser. Phiz.-Tekh. i Mat. Nauk, 2, 16-22, (in Russian).
  • 26. SHERIEF H.H., DHALIWAL R.S., 1981, Generalized One-Dimensional Thermal Shock Problem for Small Times, J. Therm. Stresses, 4, 3-4, 407-420.
  • 27. SHERIEF H.H., 1986, Fundamental Solutions of the Generalized Thermoelastic Problem for Small Times, J. Thermal Stresses, 9, 151-164.
  • 28. SHERIEF H.H., EZZAT M.A., 1994, Solution of the Generalized Problem of Thermoelastic in the Form of Series of Functions, J. Thermal Stresses, 17. 75-95.
  • 29. SHERIEF H.H., ANWAR M.N., 1994, Two-Dimensional Generalized Thermoelastic Problem for an Infinitely Long Cylinder, J. Therm. Stresses, 17, 213-227.
  • 30. TING E.C., CHEN H.C., 1982, A Unified Numerical Approach for Thermal Approach for Thermal Stress Waves, Comput. and Struct., 15, 2, 165-175.
  • 31. WADHAWAN M.C., 1972, Radially Symmetrical Thermoelastic Disturbances in Generalized Dynamical Theory of Thermoelastic, Pure and Appl. Geophys., 99, 7, 61-71.
  • 32. WANG J., DHALIWAL R.S., 1993, Fundamental Solutions of the Generalized Thermoelastic Equations, J. Thermal Stresses, 16, 135-161.
  • 33. WAGNER P., 1994, Fundamental Matrix of the System of Dynamic Linear Thermoelastic, J. Therm. Stresses, 17, 549-565.
  • 34. WHITHAM G.B., 1959, Some Comments on Wave Propagation and Shock Wave Structure with Applications to Magnetohydrodynamics, Comm. Pure AIL Math., 12, 113-158.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM1-0002-0053
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