Generalized thermoelastic interactions due to an inclined load at a two-temperature half-space

• Autorzy: Abouelregal A. E. , Zenkour A. M.

Identyfikatory

DOI

10.15632/jtam-pl.54.3.827

• Języki publikacji: EN

Abstrakty

EN

The article presents a two-temperature theory to study the thermally insulated stress-free surface of a thermoelastic solid half-space due to an inclined load. The inclined load is a linear combination of a normal load and a tangential load. The normal mode analysis has been employed to solve the present problem. Variations of conductive and thermodynamic temperatures, displacements, and stresses distributions with the horizontal distance have been presented graphically. Some comparisons have been made to estimate the effects due to the two-temperature parameter and the inclination angle on the field quantities. Results of earlier works have been deduced from the present investigation as special cases.

Słowa kluczowe

EN

thermoelasticity; conductive and thermodynamic temperatures; half-space; inclined load

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 3
• Strony: 827--838
• Opis fizyczny: Bibliogr. 20 poz., rys., tab.

Twórcy

autor

Abouelregal A. E.

• Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt and Department of Mathematics, College of Science and Arts, Aljouf University, Al-Qurayat, Saudi Arabia

autor

Zenkour A. M.

• Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia and Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh, Egypt

Bibliografia

• 1. Abbas I.A., Zenkour A.M., 2014, Two-temperature generalized thermoelastic interaction in an infinite fiber-reinforced anisotropic plate containing a circular cavity with two relaxation times, Journal of Computational and Theoretical Nanoscience, 11, 1, 1-7
• 2. Abouelregal A.E., Zenkour A.M., 2013, Effect of fractional thermoelasticity on a twodimensional problem of a mode I crack in a rotating fibre-reinforced thermoelastic medium, Chinese Physics B, 22, 10, 108102
• 3. Allam M.N., Elsibai K.A., Abouelregal A.E., 2009, Electromagneto-thermoelastic problem in a thick plate using Green and Naghdi theory, International Journal of Engineering Science, 47, 680-690
• 4. Biot M.A., 1956, Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics, 27, 240-253
• 5. Boley M., 1956, Thermoelastic and irreversible thermo dynamics, Journal of Applied Physics, 27, 240-253
• 6. Chen P.J., Gurtin M.E., 1968, On a theory of heat conduction involving two temperatures, Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP, 19, 614-627
• 7. Chen P.J., Gurtin M.E., Willams W.O., 1969, On the thermodynamics of non-simple elastic material with two temperatures, Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP, 20, 107-112
• 8. Cheng J.C., Zhang S.Y., 2000, Normal mode expansion method for laser generated ultrasonic lamb waves in orthotropic thin plates, Applied Physics B, 70, 57-63
• 9. El-Maghraby N.M., 2008, A Two-dimensional generalized thermoelasticity problem for a halfspace under the action of a body force, Journal of Thermal Stresses, 31, 557-568
• 10. El-Maghraby N.M., 2009, Two-dimensional thermoelasticity problem for a thick plate under the action of a body force in two relaxation times, Journal of Thermal Stresses, 32, 863-876
• 11. Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity, 2, 1-7
• 12. Green A.E. Naghdi P.M., 1993, Thermoelasticity without energy dissipation, Journal of Elasticity, 31, 189-208
• 13. Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15, 299-309
• 14. Sherief H., Hamza F., 1996, Generalized two dimensional thermoelastic problems in spherical regions under axisymmetric distributions, Journal of Thermal Stresses, 19, 55-76
• 15. Sherief H.H., El-Maghraby N., 2003, An internal penny-shaped crack in an infinite thermoelastic solid, Journal of Thermal Stresses, 26, 333-352
• 16. Sherief H.H., El-Maghraby N., 2005, A mode-I crack in an Infinite Space in Generalized Thermoelasticity, Journal of Thermal Stresses, 28, 465-484
• 17. Zenkour A.M., 2015, Three-dimensional thermal shock plate problem within the framework of different thermoelasticity theories, Composite Structures, 132, 1029-1042
• 18. Zenkour A.M., Abouelregal A.E., 2014a, State-space approach for an infinite medium with a spherical cavity based upon two-temperature generalized thermoelasticity theory and fractional heat conduction, Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP, 65, 1, 149-164
• 19. Zenkour A.M., Abouelregal A.E., 2014b, The effect of two temperatures on a functionally graded nanobeam induced by a sinusoidal pulse heating, Structural Engineering and Mechanics, 51, 2, 199-214
• 20. Zenkour A.M., Abouelregal A.E., 2015, Thermoelastic problem of an axially moving microbeam subjected to an external transverse excitation, Journal of Theoretical and Applied Mechanics, 53, 167-178

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.