journal article·2020-07

Analysis of Photo-Thermo-Elastic Response in a Semiconductor Media due to Moving Heat Source

F. S. Alzahrani, I. A. Abbas

Physical Mesomechanics· Volume 23· Issue 4
Publisher page

Abstract

Abstract A mathematical model of Green–Naghdi photothermal theory is given to study the wave propagation in a two-dimensional semiconducting material due to moving heat source. By using the Fourier and Laplace transformations with the eigenvalues method, the physical quantities are obtained analytically. Initially, it is assumed that the medium is at rest and it is subject to a heat source in motion with a constant velocity, which is free of traction. A semiconductor media such as silicon has been studied. The derived method is evaluated with numerical results which are applied to the semiconductor medium in simplified geometry. The influences of the different values of moving heat source speed are discussed for all physical quantities.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Thermoelastic and Magnetoelastic Phenomena · Thermography and Photoacoustic Techniques · Numerical methods in inverse problems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (27)

Show source-provided references
1. Todorović, D., Photothermal and Electronic Elastic Effects in Microelectromechanical Structures, Rev. Sci. Instruments, 2003, vol. 74, no. 1, pp. 578–581.10.1063/1.1520324 ↗
2. Todorović, D., Plasma, Thermal, and Elastic Waves in Semiconductors, Rev. Sci. Instruments, 2003, vol. 74, no. 1, pp. 582–585.10.1063/1.1523133 ↗
3. Song, Y., Cretin, B., Todorovic, D.M., and Vairac, P., Study of Photothermal Vibrations of Semiconductor Cantilevers near the Resonant Frequency,J. Phys. D. Appl. Phys., 2008, vol. 41, no. 15, p. 155106.10.1088/0022-3727/41/15/155106 ↗
4. Rosencwaig, A., Opsal, J., and Willenborg, D.L., Thin-film Thickness Measurements with Thermal Waves, Appl. Phys. Lett., 1983, vol. 43, no. 2, pp. 166–168.10.1063/1.94267 ↗
5. Green, A.E. and Naghdi, P.M., Thermoelasticity without Energy Dissipation, J. Elasticity, 1993, vol. 31, no. 3, pp. 189–208.10.1007/BF00044969 ↗
6. Green, A. and Naghdi, P., A Re-Examination of the Basic Postulates of Thermomechanics,Proc. Roy. Soc. London. A. Math. Phys. Sci., 1991, vol. 432, no. 1885, pp. 171–194.10.1098/rspa.1991.0012 ↗
7. Othman, M.I. and Marin, M., Effect of Thermal Loading due to Laser Pulse on Thermoelastic Porous Medium under GN Theory, Res. Phys., 2017, vol. 7, pp. 3863–3872.10.1016/j.rinp.2017.10.012 ↗
8. Abbas, I.A. and Youssef, H.M., Two-Temperature Generalized Thermoelasticity under Ramp-Type Heating by Finite Element Method, Meccanica, 2013, vol. 48, no. 2, pp. 331–339.10.1007/s11012-012-9604-8 ↗
9. Abbas, I.A. and Youssef, H.M., A Nonlinear Generalized Thermoelasticity Model of Temperature Dependent Materials Using Finite Element Method, Int. J. Thermophys., 2012, vol. 33, no. 7, pp. 1302–1313.10.1007/s10765-012-1272-3 ↗
10. Kumar, R. and Abbas, I.A., Deformation due to Thermal Source in Micropolar Thermoelastic Media with Thermal and Conductive Temperatures, J. Comput. Theor. Nanosci., 2013, vol. 10, no. 9, pp. 2241–2247.10.1166/jctn.2013.3193 ↗
11. Abbas, I.A. and Youssef, H.M., Finite Element Analysis of Two-Temperature Generalized Magneto-Thermoelasticity, Arch. Appl. Mech., 2009, vol. 79, no. 10, pp. 917–925.10.1007/s00419-008-0259-9 ↗
12. Abbas, I.A., Finite Element Analysis of the Thermoelastic Interactions in an Unbounded Body with a Cavity, Forschung im Ingenieurwesen, 2007, vol. 71, no. 3–4, pp. 215–222.10.1007/s10010-007-0060-x ↗
13. Abbas, I.A. and Abo-Dahab, S., On the Numerical Solution of Thermal Shock Problem for Generalized Magneto-Thermoelasticity for an Infinitely Long Annular Cylinder with Variable Thermal Conductivity, J. Comput. Theor. Nanosci., 2014, vol. 11, no. 3, pp. 607–618.10.1166/jctn.2014.3402 ↗
14. Abbas, I.A., Generalized Magneto-Thermoelasticity in a Nonhomogeneous Isotropic Hollow Cylinder Using the Finite Element Method, Arch. Appl. Mech., 2009, vol. 79, no. 1, pp. 41–50.10.1007/s00419-008-0206-9 ↗
15. Abbas, I.A., A Problem on Functional Graded Material under Fractional Order Theory of Thermoelasticity, Theor. Appl. Fract. Mech., 2014, vol. 74, pp. 18–22.10.1016/j.tafmec.2014.05.005 ↗
16. Abbas, I.A., El-Amin, M., and Salama, A., Effect of Thermal Dispersion on Free Convection in a Fluid Saturated Porous Medium, Int. J. Heat Fluid Flow, 2009, vol. 30, no. 2, pp. 229–236.10.1016/j.ijheatfluidflow.2009.01.004 ↗
17. Zenkour, A.M. and Abbas, I.A., A Generalized Thermoelasticity Pproblem of an Annular Cylinder with Temperature-Dependent Density and Material Properties, Int. J. Mech. Sci., 2014, vol. 84, pp. 54–60.10.1016/j.ijmecsci.2014.03.016 ↗
18. Marin, M. and Öchsner, A., The Effect of a Dipolar Structure on the Hölder Stability in Green–Naghdi Thermoelasticity, Cont. Mech. Thermodynam., 2017, vol. 29, no. 6, pp. 1365–1374.10.1007/s00161-017-0585-7 ↗
19. Song, Y., Todorovic, D.M., Cretin, B., and Vairac, P., Study on the Generalized Thermoelastic Vibration of the Optically Excited Semiconducting Microcantilevers, Int. J. Solids Struct., 2010, vol. 47, no. 14–15, pp. 1871–1875.10.1016/j.ijsolstr.2010.03.020 ↗
20. Lotfy, K., Gabr, M., and Hassan, W., A Novel Photothermal Excitation Cracked Medium in Gravitational Field with Two-Temperature and Hydrostatic Initial Stress,Waves Random Complex Media, 2019, vol. 29, no. 2, pp. 344–367.10.1080/17455030.2018.1435925 ↗
21. Lotfy, K., Analytical Solution of Fractional Order Heat Equation under the Effects of Variable Thermal Conductivity during Photothermal Excitation of Spherical Cavity of Semiconductor Medium, Waves Random Complex Media, 2019, vol. 29, pp. 1–16.10.1080/17455030.2019.1580402 ↗
22. Lotfy, K., Photothermal Waves for Two Temperature with a Semiconducting Medium under Using a Dual-Phase-Lag Model and Hydrostatic Initial Stress,Waves Random Complex Media, 2017, vol. 27, no. 3, pp. 482–501.10.1080/17455030.2016.1267416 ↗
23. Abo-Dahab, S. and Lotfy, K., Two-Temperature Plane Strain Problem in a Semiconducting Medium under Photothermal Theory, Waves Random Complex Media, 2017, vol. 27, no. 1, pp. 67–91.10.1080/17455030.2016.1203080 ↗
24. Abbas, I.A. and Hobiny, A., Photo-Thermal-Elastic Interaction in an Unbounded Semiconducting Medium with Spherical Cavity due to Pulse Heat Flux, Waves Random Complex Media, 2018, vol. 28, no. 4, pp. 670–682.10.1080/17455030.2017.1385876 ↗
25. Das, N.C., Lahiri, A., and Giri, R.R., Eigenvalue Approach to Generalized Thermoelasticity,Indian J. Pure Appl. Math., 1997, vol. 28, no. 12, pp. 1573–1594.
26. Stehfest, H., Algorithm 368: Numerical Inversion of Laplace Transforms [D5], Commun. ACM, 1970, vol. 13, no. 1, pp. 47–49.10.1145/361953.361969 ↗
27. Song, Y., Todorovic, D.M., Cretin, B., Vairac, P., and Jintao, X.Y.B., Bending of Semiconducting Cantilevers under Photothermal Excitation, Int. J. Thermophys., 2014, vol. 35, no. 2, pp. 305–319.10.1007/s10765-014-1572-x ↗