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Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model

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In the present paper, we have constructed the equations for generalized thermoelasticity of a fiber-reinforced anisotropic hollow cylinder. The formulation is applied in the context of dualphase-lag model. An application of hollow cylinder is investigated for the outer surface is traction free and thermally isolated, while the inner surface is traction free and subjected to thermal shock. The problem is solved numerically using a finite element method. The results of displacement, temperature and radial and hoop stress are obtained and then presented graphically. Finally, the comparisons are made between the results predicted by the coupled theory, Lord and Shulman theory and dual-phase-lag model in presence and absence of reinforcement.

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References

  1. A. J. Belfield, T. G. Rogers, and A. J. M. Spencer, “Stress in elastic plates reinforced by fibres lying in concentric circles,” J. Mech. Phys. Solids, 31, No. 1, 25–54 (1983).

    Article  Google Scholar 

  2. Z. Hashin and W. B. Rosen, “The elastic moduli of fiber-reinforced materials,” J. Appl. Mech., 31, 223–232 (1964).

    Article  Google Scholar 

  3. H. W. Lord and Y. Shulman, “A generalized dynamical theory of thermoelasticity,” J. Mech. Phys. Solids, 15, No. 5, 299–309 (1967).

    Article  Google Scholar 

  4. A. E. Green and K. A. Lindsay, “Thermoelasticity,” J. Elasticity, 2, No. 1, 1–7 (1972).

    Article  Google Scholar 

  5. R. S. Dhaliwal and H. H. Sherief, “Generalized thermoelasticity for anisotropic media,” Q. Appl. Math., 38, 1–8 (1980).

    Article  Google Scholar 

  6. D. Y. Tzou, Macro- to Microscale Heat Transfer: The Lagging Behavior, Taylor & Francis, Washington (1996).

    Google Scholar 

  7. D. Y. Tzou, “A unified approach for heat conduction from macro- to micro-scales,” J. Heat Transfer, 117, No. 1, 8–16 (1995).

    Article  Google Scholar 

  8. D. Y. Tzou, “Experimental support for the lagging behavior in heat propagation,” J. Thermophys. Heat Tr., 9, No. 4, 686–693 (1995).

    Article  Google Scholar 

  9. A. E. Abouelregal, “A problem of a semi-infinite medium subjected to exponential heating using a dual-phase-lag thermoelastic model,” Appl. Math., 2, 619–624 (2011).

    Article  Google Scholar 

  10. P. D. S. Verma, “Magnetoelastic shear waves in self-reinforced bodies,” Int. J. Eng. Sci., 24, No. 7, 1067–1073 (1986).

    Article  Google Scholar 

  11. B. Singh, “Wave propagation in in thermally conducting linear fibre-reinforced composite materials,” Arch. Appl. Mech., 75, 513–520 (2006).

    Article  Google Scholar 

  12. M. I. A. Othman and I. A. Abbas, “Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method,” Meccanica, 46, No. 2, 413–421 (2011).

    Article  Google Scholar 

  13. I. A. Abbas, “Generalized magneto-thermoelastic interaction in a fiber-reinforced anisotropic hollow cylinder,” Int. J. Thermophys., 33, No. 3, 567–579 (2012).

    Article  Google Scholar 

  14. A. Chattopadhyay and S. Choudhury, “Propagation, reflection and transmission of magnetoelastic shear waves in a self-reinforced media,” Int. J. Eng. Sci., 28, No. 6, 485–495 (1990).

    Article  Google Scholar 

  15. A. Chattopadhyay and S. Choudhury, “Magnetoelastic shear waves in an infinite self-reinforced plate,” Int. J. Numer. Anal. Met., 19, No. 4, 289–304 (1995).

    Article  Google Scholar 

  16. X. Tian, Y. Shen, C. Chen, and T. He, “A direct finite element method study of generalized thermoelastic problems,” Int. J. Solids Struct., 43, 2050–2063 (2006).

    Article  Google Scholar 

  17. I. A. Abbas and H. M. Youssef, “Finite element analysis of two-temperature generalized magnetothermoelasticity,” Arch. Appl. Mech., 79, No. 10, 917–925 (2009).

    Article  Google Scholar 

  18. I. A. Abbas, “Generalized magneto-thermoelasticity in a non-homogeneous isotropic hollow cylinder using finite element method,” Arch. Appl. Mech., 79, No. 1, 41–50 (2009).

    Article  Google Scholar 

  19. I. A. Abbas and A. N. Abd-alla, “Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with acylindrical cavity,” Arch. Appl. Mech., 78, 283–293 (2008).

    Article  Google Scholar 

  20. I. A. Abbas and M. I. A. Othman, “Generalized thermoelasticity of thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli,” Chinese Phys. B, 21, No. 1, 014601 (2012).

    Article  Google Scholar 

  21. I. A. Abbas and M. I. A. Othman, “Generalized thermoelasticity of thermal shock problem in a nonhomogeneous isotropic hollow cylinder with energy dissipation,” Int. J. Thermophys., 33, No. 5, 913–923 (2012).

    Article  Google Scholar 

  22. R. Kumar, V. Gupta, and I. A. Abbas, “Plane deformation due to thermal source in fractional order thermoelastic media,” J. Comput. Theor. Nanos., 10, No. 10, 2520– 2525 (2013).

    Article  Google Scholar 

  23. I. A. Abbas and A. Zenkour, “Two-temperature generalized thermoelastic interaction in an infinite fiber-reinforced anisotropic plate containing a circular cavity with two relaxation times,” J. Comput. Theor. Nanos., 11, No. 1, 1–7 (2014).

    Article  Google Scholar 

  24. P. Wriggers, Nonlinear Finite Element Methods, Springer, Berlin–Heidelberg (2008).

    Google Scholar 

Download references

Acknowledgments

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University (Jeddah), under Grant No. G/205/130/38. The authors, therefore, acknowledge with thanks DSR for technical and financial support.

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Correspondence to A. D. Hobiny.

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Translated from Problemy Prochnosti, No. 3, pp. 37 – 48, May – June, 2018.

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Hobiny, A.D., Abbas, I.A. & Berto, F. Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model. Strength Mater 50, 396–405 (2018). https://doi.org/10.1007/s11223-018-9983-8

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  • DOI: https://doi.org/10.1007/s11223-018-9983-8

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