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Analysis of semiconducting plate under photothermal theory bordered with inviscid liquid half-spaces

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Abstract

The present investigation is concerned with the study of two-dimensional deformation in an infinite semiconducting plate of uniform thickness bordered with inviscid liquid half-spaces. The plate is under the influence of the mechanical force of constant magnitude. The analytical expressions of displacement components, stress components, temperature distribution, and carrier density are obtained by normal mode analysis. The numerical results are presented graphically to show the effect of the thermoelectric coupling parameter and plate thickness on the physical components.

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References

  1. J R Barber Journal of Applied Mechanics 51 636 (1984)

    Article  ADS  Google Scholar 

  2. H H Sherief Journal of Thermal Stresses 9 151 (1986)

    Article  Google Scholar 

  3. L M Brock and H G Georgiadis Journal of Applied Mechanics 64 562 (1997)

    Article  ADS  Google Scholar 

  4. J N Sharma, R S Chauhan and R Kumar Journal of Thermal Stresses 23 657 (2000)

    Article  Google Scholar 

  5. C Sarbani and C Amitava International Journal of Mathematics and Mathematical Sciences 22 595 (2004)

    Google Scholar 

  6. S K Roychoudhuri and P S Dutta International Journal of Solids and Structures 42 4192 (2005)

    Article  Google Scholar 

  7. M Aouadi International Journal for Computational Methods in Engineering Science and Mechanics 7 59 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  8. P Ram, N Sharma and R Kumar International Journal of Thermal Sciences 47 315 (2008)

    Article  Google Scholar 

  9. N Sharma, R Kumar and P Ram International Journal of Thermophysics 29 1503 (2008)

    Article  ADS  Google Scholar 

  10. M I A Othman, M E M Zidan and M I M Hilal Journal of Physics 2 22 (2013)

    Google Scholar 

  11. P Ailawalia, S Kumar and G Khurana Mechanics and Mechanical Engineering 13 5 (2009)

    Google Scholar 

  12. P Ailawalia and N S Narah International Journal of Thermophysics 30 2078 (2009)

    Article  ADS  Google Scholar 

  13. P Ailawalia, S Budhiraja and A Singla Mechanics of Advanced Materials and Structures 21 544 (2014)

    Article  Google Scholar 

  14. P Ailawalia and S Budhiraja Mechanics of Advanced Materials and Structures 22 776 (2015)

    Article  Google Scholar 

  15. I Abbas and A M Zenkour Journal of Computational and Theoretical Nanoscience 11 642 (2014)

    Article  Google Scholar 

  16. I A Abbas Computers and Mathematics with Applications 68 2036 (2014)

    Article  MathSciNet  Google Scholar 

  17. I A Abbas, R Kumar and L S Reen Canadian Journal of Physics 92 1305 (2014)

    Article  ADS  Google Scholar 

  18. I A Abbas and S M Abo-Dahab Journal of Computational and Theoretical Nanoscience 11 607 (2014)

    Article  Google Scholar 

  19. M Bachher, N Sarker and A Lahiri International Journal of Mechanical Sciences 89 84 (2014)

    Article  Google Scholar 

  20. I A Abbas, R Kumar and L Rani Applied Mathematics and Computation 254 360 (2015)

    Article  MathSciNet  Google Scholar 

  21. P Ailawalia, S K Sachdeva and D S Pathania Cogent Mathematics 4 1347991 (2017)

    Article  Google Scholar 

  22. A M Abd-Alla, S M Abo-Dahab and H A Alotaibi Archives of Civil and Mechanical Engineering 17 564 (2017)

    Article  Google Scholar 

  23. H M Youssef and E A N Al-Lehaibi Boundary Value Problems 8 (2019)

  24. S Mondal, P Pal and M Kanoria Acta Mechanica 230 179 (2019)

    Article  MathSciNet  Google Scholar 

  25. M I A Othman, A Khan, R Jahangir and A Jahangir Applied Mathematical Modelling 65 535 (2019)

    Article  MathSciNet  Google Scholar 

  26. S M Abo-Dahab Continuum Mechanics and Thermodynamics 32 883 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  27. J P Gordon, R C C Leite, R S Moore, S P S Porto and J R Whinnery Journal of Applied Physics 36 3 (1965)

    Article  ADS  Google Scholar 

  28. L B Kreuzer Journal of Applied Physics 42 2934 (1971)

    Article  ADS  Google Scholar 

  29. A C Tam Ultrasensitive Laser Spectroscopy (New York: Academic) 1 (1983)

  30. A C Tam Reviews of Modern Physics 58 381 (1986)

    Article  ADS  Google Scholar 

  31. A C Tam Photothermal Investigations in Solids and Fluids (Boston: Academic) 1 (1989)

  32. D M Todorovic, P M Nikolic and A I Bojicic Journal of Applied Physics 85 7716 (1999)

    Article  ADS  Google Scholar 

  33. D M Todorovic Journal de Physique IV (Proceedings) France 125 551 (2005)

  34. Y Q Song, D M Todorovic, B Cretin and P Vairac International Journal of Solids and Structures 47 1871 (2010)

    Article  Google Scholar 

  35. Y Q Song, J T Bai and Z Y Ren International Journal of Thermophysics 33 1270 (2012)

    Article  ADS  Google Scholar 

  36. A Mandelis, M Nestoros and C Christofides Optical Engineering 36 469 (1997)

    Article  ADS  Google Scholar 

  37. D M Todorovic Review of Scientific Instruments 74 582 (2003)

    Article  ADS  Google Scholar 

  38. D M Todorovic, P M Nikolic, A I Bojicic and K T Radulovic Physical Review B 55 15631 (1997)

    Article  ADS  Google Scholar 

  39. M I A Othman, R S Tantawi and E E M Eraki Microsystem Technologies 23 5587 (2017)

    Article  Google Scholar 

  40. K Lotfy and N Sarkar Mechanics of Time-Dependent Materials 21 519 (2017)

    Article  ADS  Google Scholar 

  41. K Lotfy, W Hassan and M Gabr Results in Physics 7 3918 (2017)

    Article  ADS  Google Scholar 

  42. K Lotfy and M E Gabr Optics and Laser Technology 97 198 (2017)

    Article  ADS  Google Scholar 

  43. K Lotfy, R Kumar, W Hassan and M Gabr Applied Mathematics and Mechanics (English Edition) 39 783 (2018)

    Article  MathSciNet  Google Scholar 

  44. K Lotfy Silicon 12 263 (2019)

    Article  Google Scholar 

  45. K Lotfy and A A El-Bary Waves in Random and Complex Media, In press (2019)

  46. K Lotfy Silicon 11 1863 (2019)

    Article  Google Scholar 

  47. A Hobiny and I Abbas Mechanics of Time Dependent Materials 21 61 (2017)

    Article  ADS  Google Scholar 

  48. P Ailawalia and A Kumar Silicon 12 347 (2020)

    Article  Google Scholar 

  49. A Hobiny and I Abbas Multidiscipline Modeling in Materials and Structures 14 1017 (2018)

    Article  Google Scholar 

  50. K Lotfy, R S Tantawi and N Anwer Silicon 12 963 (2020)

    Article  Google Scholar 

  51. W M Ewing, W S Jardetzky and F Press Elastic waves in layered media (New York: McGraw Hill) (1957)

Download references

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Correspondence to Praveen Ailawalia.

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Ailawalia, P., Kumar, A. Analysis of semiconducting plate under photothermal theory bordered with inviscid liquid half-spaces. Indian J Phys 96, 1683–1690 (2022). https://doi.org/10.1007/s12648-021-02096-z

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