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2-D Analysis of Generalized Thermoelastic Porous Medium under the Effect of Laser Pulse and Microtemperature

Amnah M. Alharbi

Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

E-mail Address: alharbi.a.m@hotmail.com

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Mohamed I. A. Othman

Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

E-mail Address: m_i_a_othman@yahoo.com

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, and

Elsayed M. Abd-Elaziz

Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

E-mail Address: sayed_nr@yahoo.com

Corresponding author.

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https://doi.org/10.1142/S0219455421501261Cited by:6 (Source: Crossref)

Abstract

The paper presents the analytical solutions for a generalized thermoelastic medium consisting of microtemperatures and voids subjected to a laser pulse loading the medium thermally. The 0.02 ps pulse duration of the non-Gaussian laser beam is apt for heating a homogenous isotropic elastic half-space. A method called the normal mode analysis is employed to evaluate numerically the effects of various variables such as the micro-temperature vector, variation in the fraction field of the volume, first heat flux moment tensor, temperature distribution on the stresses and displacement components of the medium. In addition, the graphical illustration of the physical response of the medium has been presented in the presence and absence of void parameters, as well as in the presence of laser pulse with two different acting periods.

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References

1. M. A. Goodman and S. C. Cowin, A continuum theory for granular material, Arch. Ration Mech. Anal. 44 (1972) 248–265. Crossref, Web of Science, Google Scholar
2. J. W. Nunziato and S. C. Cowin, A non-linear theory of elastic materials with voids, Arch Ration Mech. Anal. 72 (1979) 175–201. Crossref, Web of Science, Google Scholar
3. S. C. Cowin and J. W. Nunziato, Linear theory of elastic materials with voids, J. Elast. 13 (1983) 125–147. Crossref, Web of Science, Google Scholar
4. D. Iesan, A theory of thermoelastic materials with voids, Acta Mech. 60 (1986) 67–89. Crossref, Web of Science, Google Scholar
5. M. I. A. Othman, M. Fekry, Effect of magnetic field on generalized thermo-visco-elastic diffusion medium with voids, Int. J. Struct. Stab. Dyn. 16(7) (2016) 1550033-1–21. Link, Web of Science, Google Scholar
6. M. Alam, S. K. Mishra and T. Kant, Scale dependent critical external pressure for buckling of spherical shell based on nonlocal strain gradient theory, Int. J. Struct. Stab. Dyn. 21(1) (2021) 2150003. Link, Web of Science, Google Scholar
7. Z. Hu, K. Zhou and Y. Chen, Sound radiation analysis of functionally graded porous plates with arbitrary boundary conditions and resting on elastic foundation, Int. J. Struct. Stab. Dyn. 20(5) (2020) 2050068. Link, Web of Science, Google Scholar
8. R. Kumar and R. Kumar, Effects of phase lags on thermoelastic damping in micro-beam resonators, Int. J. Struct. Stab. Dyn. 19(9) (2019) 1971005. Link, Web of Science, Google Scholar
9. I. A. Abbas, The effect of relaxation times on thermoelastic damping in a non-beam resonator, Int. J. Struct. Stab. Dyn. 4(2) (2016) 1650001. Google Scholar
10. V. Borjalilou and M. Asghari, Size-dependent strain gradient-based thermoelastic damping in micro-beams utilizing a generalized thermoelasticity theory, Int. J. Struct. Stab. Dyn. 11(1) (2019) 1950007. Google Scholar
11. D. Iesan, A theory of initially stressed thermoelastic material with voids, An Stiint Univ Ai I Cuza Lasi Sect. I a Mat. 33 (1987) 167–184. Google Scholar
12. S. Chirita and A. Scalia, On the spatial and temporal behavior in linear thermo-elasticity of materials with voids, J. Therm. Stress. 24 (2001) 433–455. Crossref, Web of Science, Google Scholar
13. A. Pompei and A. Scalia, On the asymptotic spatial behavior in the linear thermoelasticity of materials with voids, J. Therm. Stress. 25 (2002) 183–193. Crossref, Web of Science, Google Scholar
14. M. I. A. Othman and E. M. Abd-Elaziz, Plane waves in a magneto-thermoelastic solids with voids and microtemperatures due to hall current and rotation, Results Phys. 7 (2017) 4253–4263. Crossref, Web of Science, Google Scholar
15. A. C. Eringen, Microcontinuum Field Theories. I. Foundations and Solids (Springer-Verlag, New York, 1999). Crossref, Google Scholar
16. D. Iesan and R. Quintanilla, On a theory of thermoelasticity with micro-temperatures, J. Therm. Stress. 23(3) (2000) 199–215. Crossref, Web of Science, Google Scholar
17. D. Iesan, On a theory of micromorphic elastic solids with micro-temperatures, J. Therm. Stress. 24 (2001) 737–752. Crossref, Web of Science, Google Scholar
18. P. S. Casas, and R. Quintanilla, Exponential stability in thermoelasticity with micro-temperatures, Int. J. Eng. Sci. 43(1–2) (2005) 33–47. Crossref, Web of Science, Google Scholar
19. M. I. A. Othman, R. S. Tantawi, and E. M. Abd-Elaziz, Effect of initial stress on a porous thermoelastic medium with microtemperatures, J. Porous Media. 19(2) (2016) 155–172. Crossref, Web of Science, Google Scholar
20. M. I. A. Othman, and M. Marin, Effect of thermal loading due to laser pulse on thermoelastic porous media under G-N theory, Results in Phys. 7 (2017) 3863–3872. Crossref, Web of Science, Google Scholar
21. D. Y. Tzou, A unified approach for heat conduction from macro-to micro-scales, J. Heat Transf. 17(1) (1995) 8–16. Crossref, Web of Science, Google Scholar
22. D. Y. Tzou, Macro-to Micro Scale Heat Transfer: The Lagging Behavior, 1st edn. (Taylor & Francis, Washington, 1996). Google Scholar
23. M. I. A. Othman and I. A. Abbas, Eigenvalue approach for generalized thermo-elastic porous medium under the effect of initial stress and thermal loading due to a laser pulse in DPL model, Ind. J. Phys. 93(12) (2019) 1567–1578. Crossref, Web of Science, Google Scholar
24. M. I. A. Othman, M. Fekry and M. Marin, Plane waves in generalized magneto-thermo-viscoelastic medium with voids under the effect of initial stress and laser pulse heating, Struct. Eng. Mech. An Int. J. 73(6) (2020) 621–629. Web of Science, Google Scholar
25. M. I. A. Othman and S. Mondal, Memory dependent-derivative effect on wave propagation of micropolar thermoelastic medium under pulsed laser heating with three theories, Int. J. Numer. Methods for Heat and Fluid Flow. 30(3) (2020) 1025–1046. Crossref, Web of Science, Google Scholar
26. E. M. Abd-Elaziz, M. Marin, and M. I. A. Othman, On the effect of thomson and initial stress in a thermo-porous elastic solid under G-N electromagnetic theory, Symmetry Appl. Contin. Mech. 11(3) (2019) 413–430. Google Scholar
27. M. Marin, M. I. A. Othman, S. Vlase and L. Codarcea-Munteanu, Thermo-elasticity of initially stressed bodies with voids. A domain of influence, Symmetry Appl. Contin. Mech. 11(4) (2019) 573–584. Google Scholar
28. P. Ailawalia, and A. Singla, Disturbance due to internal heat source in thermo-elastic solid using dual phase lag model, Int. J. Struct. Eng. Mech. 56(3) (2015) 341–354. Crossref, Web of Science, Google Scholar
29. M. I. A. Othman and S. M. Said, 2-D problem of magneto–thermoelasticity fiber-reinforced medium under temperature-dependent properties with three phase-lag theory, Meccanica, 49(5) (2014) 1225–1243. Crossref, Web of Science, Google Scholar
30. M. M. Bhatti, M. Marin, A. Zeeshan, R. Ellahi and S. I. Abdelsalam, Swimming of motile gyrotactic microorganisms and nanoparticles in blood flow through anisotropically tapered arteries, Front. Phys. 8 (2020) Art. No. 95, 1–12. Crossref, Web of Science, Google Scholar
31. T. Saeed, I. Abbas and M. Marin, A GL model on thermoelastic interaction in a poroelastic material using finite element method, Symmetry Basel 12(3) (2020) Art. No. 488, 1–24. Web of Science, Google Scholar
32. M. Marin, Harmonic vibrations in thermoelasticity of microstretch materials, J. Vibr. Acoust. ASME 132(4) (2010) 044501-1–044501-6. Crossref, Web of Science, Google Scholar
33. M. I. A. Othman and E. M. Abd-Elaziz, The effect of thermal loading due to laser pulse in generalized thermoelastic medium with voids in dual phase lag model, J. Therm. Stress. 38(9) (2015) 1068–1082. Crossref, Web of Science, Google Scholar
34. S. M. Abo-Dahab and I. A. Abbas, LS model on thermal shock problem of generalized magneto-thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity, Appl. Math. Model. 35(8) (2011) 3759–3768. Crossref, Web of Science, Google Scholar
35. I. A. Abbas, Nonlinear transient thermal stress analysis of thick-walled FGM cylinder with temperature-dependent material properties, Meccanica 49(7) (2014) 1697–1708. Crossref, Web of Science, Google Scholar
36. G. Palani and I. A. Abbas, Free convection MHD flow with thermal radiation from an impulsively-started vertical plate, Nonlinear Anal.: Model. and Contr. 14(1) (2009) 73–84. Crossref, Web of Science, Google Scholar
37. A. M. Zenkour and I. A. Abbas, Magneto-thermoelastic response of an infinite functionally graded cylinder using the finite element method, J. Vib. Contr. 20(12) (2014) 1907–1919. Crossref, Web of Science, Google Scholar
38. I. A. Abbas and H. M. Youssef, Two-temperature generalized thermoelasticity under ramp–type heating by finite element method. Meccanica 48(2) (2013), 331–339. Crossref, Web of Science, Google Scholar
39. I. A. Abbas and H. M. Youssef, A nonlinear generalized thermoelasticity model of temperature-dependent materials using finite element method, Int. J. Thermophys. 33(7) (2012) 1302–1313. Crossref, Web of Science, Google Scholar
40. H. M. Al-Qahtani and S. K. Datta, Laser-generalized thermoelastic waves in an anisotropic infinite plate: Exact analysis, J. Therm. Stress. 31 (2008) 569–583. Crossref, Web of Science, Google Scholar
41. R. S. Dhaliwal and A. Singh, Dynamic Coupled Thermoelasticity (Hindustan Publ. Corp, New Delhi, 1980). Google Scholar