PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!
  • Sesja wygasła!
Tytuł artykułu

Maysel's formula in the generalized linear micropolar thermoviscoelasticity

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Generalizations of Maysel's formula to generalized linear micropolar thermoviscoelasticity is given. Fundamental solutions in the Laplace transform domain are obtained. The results are applicable to the following generalized thermoelasticity theories: Lord-Shulman theory with one relaxation time, Green-Lindsay theory with two relaxation times, Green-Naghdi theory of type III, and the Chandrasekharaiah and Tzou theory with dual-phase lag, as well as to the dynamic coupled theory. The cases of generalized linear micropolar thermoviscoelasticity of the Kelvin-Voigt model, and the generalized linear micropolar thermoelasticity can be obtained from the given results.
Rocznik
Strony
357--376
Opis fizyczny
Bibliogr. 27 poz.
Twórcy
  • Department of Mathematics, Faculty of Education, Rustaq- 329, P. O. Box 272, Sultanate of Oman, aelkaramani@yahoo.com
Bibliografia
  • 1. A.C. Eringen and E.S. Suhubi, Nonlinear theory of simple microelastic solids, Part I, Int. J. Engng. Sci., 2, 189–203, 1964.
  • 2. A.C. Eringen and E.S. Suhubi, Nonlinear theory of simple microelastic solids, Part II, Int. J. Engng. Sci., 2, 389–404, 1964.
  • 3. A.C. Eringen, Linear theory of micropolar elasticity, ONR Tech. Rep. No. 29 (School of Aeronautics, Aeronautics and Engineering Science, Purdue Univ., 1965).
  • 4. A.C. Eringen, Linear theory of micropolar elasticity, J. Math. Mech., 15, 909–923, 1966.
  • 5. W. Nowacki Couple stresses in the theory of thermoelasticity I, Bull. Acad. Polon. Sci., Ser. Sci. Tech., 14, 2, 129–138, 1966, W. Nowacki, Couple stresses in the theory of thermoelasticity II, Bull. Acad. Polon. Sci., Ser. Sci. Tech., 14, 3, 263–272, 1966; W. Nowacki Couple stresses in the theory of thermoelasticity III, Bull. Acad. Polon. Sci., Ser. Sci. Tech., 14, 8, 801–809, 1966.
  • 6. A.C. Eringen A unified theory of thermomechanical materials, Int. J. Engng. Sci., 4, 179–202, 1966.
  • 7. A.C. Eringen, Foundation of micropolar thermoelasticity, Courses and Lectures No. 23, CISM, Udine (Springer–Verlag, Vienna and New York, 1970).
  • 8. T.R. Tauchert, W.D. Claus Jr., and T. Ariman, The linear theory of micropolar thermoelasticity, Int. J. Engng. Sci., 6, 36–47, 1968.
  • 9. T.R. Tauchert, Thermal stresses in micropolar elastic solids, Acta Mech., 11, 155–169, 1971.
  • 10. W. Nowacki and W.Olszak, Micropolar thermoelasticity, [in:] Micropolar thermoelasticity, W. Nowacki and W. Olszak [Eds.], CISM Courses and Lectures, No 151, Udine (Springer–Verlag Vienna, 1974).
  • 11. R.S. Dhaliwal and A. Singh, Micropolar Thermoelasticity, [in:] Thermal Stresses II, vol. 2, R.B. Hetnarski [Ed.], North-Holland 1987.
  • 12. A.C. Eringen and C.B. Kafadar, Continuum physics, vol. IV, A.C. Eringen [Ed.], Academic Press, New York 1976.
  • 13. A.C. Eringen, Linear theory of micropolar viscoelasticity, Int. J. Engng. Sci., 5, 691–729, 1967.
  • 14. M. Biot, Thermoelasticity and irreversible thermodynamics, J. Appl. Phys., 27, 240–253, 1956.
  • 15. R.B. Hetnarski and J. Ignaczak, Generalized thermoelasticity, Journal of Thermal Stresses, 22, 451–476, 1999.
  • 16. H. Lord and Y. Shulman, A generalized dynamical theory of thermo-elasticity, J. Mech. Phys. Solid, 15, 299–309, 1967.
  • 17. A.E. Green and K.A. Lindsay, Thermoelasticity, J. Elasticity, 2, 1–7, 1972.
  • 18. J. Ignaczak, Generalized thermoelasticity and its applications, [in:] R.B. Hetnarski [Ed.], Thermal Stresses III, vol. 3, North–Holland 1989.
  • 19. A.E. Green and P.M. Naghdi, Thermoelasticity without energy dissipation J. Elasticity, 31, 189–208, 1993.
  • 20. A.E. Green and P.M. Naghdi, On undamped heat waves in an elastic solid, Journal of Thermal Stresses, 15, 253–264, 1992.
  • 21. A.E. Green and P.M. Naghdi, A re-examination of the basic postulates of thermomechanics, Proc. Roy. Soc. Lond., A432, 171–194, 1991.
  • 22. D. S. Chandraskharaiah, Hyperbolic thermoelasticity, A review of recent literature, Appl. Mech. Rev., 51, 705–729, 1998.
  • 23. Heinz Parkus, Thermoelasticity, Blaisdell, Waltham, MA, 1968.
  • 24. V.M. Maysel, Temperature problem of the theory of elasticity [in Russian], Akad. Nauk. Ukranian SSR, Kiev 1951.
  • 25. W. Nowacki, Thermoelasticity, Pergamon Press, Oxford 1962.
  • 26. W. Nowacki, Transient thermal stresses in viscoelastic bodies (I), Arch. Mech. Stos., 2, 5, 649–669, 1959.
  • 27. W. Nowacki, Dynamic problems of thermoelasticity, Noordhoff, Leyden 1975.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0004-0015
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.