Thermomechanical interactions due to a moving load at an interface of an acoustic fluid and micropolar thermoelastic solid possessing cubic symmetry

• Autorzy: Kumar R. , Gupta R. R.
• Języki publikacji: EN

Abstrakty

EN

The steady state response at an interface of an acoustic fluid and a micropolar thermoelastic medium possessing cubic symmetry due to a moving load has been studied. The thermoelastic theory formulated by Chandrashekharia and Tazu (1998) has been used. Fourier transforms have been inverted by using a numerical inversion technique. Effect of anisotropy on the components of normal strain, normal force stress, tangential couple stress, temperature distribution and pressure an acoustic fluid have been depicted graphically for different load velocities. Some special cases are also deduced.

Słowa kluczowe

EN

moving load; micropolar; thermoelasticity; cubic symmetry; Fourier transform

PL

transformacja Fouriera; tworzywa termoplastyczne; obciążenia ruchome

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2008
• Tom: Vol. 13, no 3
• Strony: 681--694
• Opis fizyczny: Bibliogr. 21 poz., wykr.

Twórcy

autor

Kumar R.

autor

Gupta R. R.

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

Bibliografia

• Biot M.A (1956): Thermoelasticity and irreversible thermodynamics. - J. Appl. Phy., vol.27, pp.240-253.
• Chandraskharaiah D.S. (1998): Hyperbolic thermoelasticity. A review of recent literature. - Appl. Mech. Rev., vol.51, pp.705-729.
• Dhaliwal R.S. and Singh A. (1980): Dynamic Coupled Thermoelasticity. - p.726, Hindustan Publication Corporation, New Delhi, India.
• Eringen A.C. (1966): Linear theory of micropolar elasticity. - J. of Mathematical Mechanics, vol.15, pp.909-923.
• Eringen A.C. (1970): Foundations of micropolar thermoelasticity. - Course of lectures No.23, CSIM Udine Springer.
• Eringen A.C. (1984): Plane waves in non-local micropolar elasticity. - Int. J. Eng. Sci., vol.22, pp.1113-1121.
• Fung Y.C. (1968): Foundations of Solid Mechanics. - Prentice Hall, New Delhi.
• Green A.E. and Lindsay K.A. (1972): Themoelasticity. - J. Elasticity, vol.2, pp.1-5.
• Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulates of thermomechanics. - Proc. R. Soc. Lon., Series A, vol.432, pp.171-194.
• Green A.E. and Naghdi P.M. (1992): On undamped heat waves in an elastic solid. - J. Thermal Stresses, vol.15, pp.253-264.
• Green A.E. and Nagdi P.M. (1993): Thermoelasticity without energy dissipation. - J. Elasticity, vol.31, pp.189-208.
• Hetnarski R.B. and Ignaczak J. (1999): Generalized thermoelasticity. - J. Thermal Stresses, vol.22, pp.451-476.
• Hetnarski R.B. and Ignaczak J. (1996): Solution like waves in a low temperature non linear thermoelastic solid. - Int. J. Eng. Sci, vol.34, pp.1767-1787.
• Kumar R. and Ailawalia P. (2004a): Effects of fluid layer at micropolar orthotropic boundary surface. - "Sadhana", Part 6, vol.29, pp.605-616.
• Kumar R. and Ailawalia P. (2004b): Interactions of moving load velocity at Fluid/Micropolar viscoelastic solid interface. - Bull. of the allahabad mathematical soc., vol.19, pp.35-48.
• Kumar R. and Ailawalia P. (2005a): Effect of viscosity with moving load at microplar boundary surface. - Int. J. Appl. Mech. Eng., vol.10, pp.95-108.
• Kumar R. and Ailawalia P. (2005b): Viscous effect at an orthotropic micropolar boundary surface. - Sadhana. Part 4, vol.30, pp.1-13.
• Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-306.
• Minagawa S., Arakawa K. and Yamada M. (1981): Dispersion curves for waves in a cubic micropolar medium with reference to estimations of the materials constants for diamond. - Bull. JSME., vol.24, No.187, pp.22-28.
• Nowacki M. (1966): Couple-Stresses in the theory of thermoelasticity. - Proc. IUTAM Symposia, Vienna, Editors H, Parkus and L.I Sedov, Springer-Verlag, pp.259-278.
• Tzou D.Y. (1995): A unified approach for heat conduction from macro to micro-scales. - J. Heat Transf., vol.117, pp.8-16.