Skip to main content
SpringerLink
Log in

Ramp Type Heating in a Semiconductor Medium under Photothermal Theory

  • Original Paper
  • Published:
Silicon Aims and scope Submit manuscript

Abstract

The present investigation is concerned with study the two-dimensional deformation in a semi-infinite semiconducting medium subjected to ramp type heating. The deformation in the medium is caused subjected to a thermal source of ramp-type nature applied along the free surface of a semiconducting medium. The semiconductor thermoelastic medium is under the influence of an internal heat source of constant magnitude. Integral Transform method has been used to obtain the transformed expression of displacement components, stress components, temperature distribution, and carrier density. The transformed expressions are then inverted using numerical inversion technique. The effect of ramp-type source and thermoelectric coupling parameter on the components of displacement, force stress, temperature distribution, and carrier density has been shown graphically.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Barber JR (1984) Thermoelastic displacements and stresses due to a heat source moving over the surface of a half-plane. J Appl Mech 51(3):636–640

    Google Scholar 

  2. Sherief HH (1986) Fundamental solution of the generalized thermoelastic problem for short times. J Therm Stresses 9(2):151–164

    Google Scholar 

  3. Dhaliwal RS, Majumdar SR, Wang J (1997) Thermoelastic waves in an infinite solid caused by a line heat source. Int J Math Math Sci 20(2):323–334

    Google Scholar 

  4. Marin M (1997) Cesaro means in thermoelasticity of dipolar bodies. Acta Mech 122(1–4):155–168

    Google Scholar 

  5. Sharma JN, Chauhan RS, Kumar R (2000) Time-harmonic sources in a generalized thermoelastic continuum. J Therm Stresses 23(7):657–674

    Google Scholar 

  6. Sarbani C, Amitava C (2004) Transient disturbance in a relaxing thermoelastic half-space due to moving internal heat source. Int J Math Math Sci 22:595–602

    Google Scholar 

  7. Kumar R, Rani L (2005) Interaction due to mechanical and thermal sources in thermoelastic half-space with voids. J Vib Control 11(4):499–517

    Google Scholar 

  8. Kumar R, Rani L (2005) Deformation due to mechanical and thermal sources in generalized thermoelastic half-space with voids. J Therm Stresses 28(2):123–145

    Google Scholar 

  9. Ram P, Sharma N, Kumar R (2008) Thermomechanical response of generalized thermoelastic diffusion with one relaxation time due to time-harmonic sources. Int J Therm Sci 47(3):315–323

    Google Scholar 

  10. Sharma N, Kumar R, Ram P (2008) Plane strain deformation in generalized thermoelastic diffusion. Int J Thermophys 29:1503–1522

    CAS  Google Scholar 

  11. Othman MIA (2011) State space approach to the generalized thermoelastic problem with temperature-dependent elastic moduli and internal heat sources. J Appl Mech Tech Phys 52(4), Article 644

    CAS  Google Scholar 

  12. Othman MIA, Zidan MEM, Hilal MIM (2013) The influence of gravitational field and rotation on generalized thermoelastic solid with voids under green-Naghdi theory. J Phys 2(3):22–34

    Google Scholar 

  13. Ailawalia P, Kumar S, Khurana G (2009) Deformation in a generalized thermoelastic medium with hydrostatic initial stress subjected to different sources. Mech Mech Engg 13(1):5–24

    Google Scholar 

  14. Ailawalia P, Narah NS (2009) Effect of rotation in a generalized thermoelastic medium with hydrostatic initial stress subjected to ramp-type heating and loading. Int J Thermophys 30:2078–2097

    CAS  Google Scholar 

  15. Ailawalia P, Budhiraja S, Singla A (2014) Dynamic problem in Green-Naghdi (type III) thermoelastic half-space with two temperature. Mech Adv Mater Struct 21(7):544–552

    Google Scholar 

  16. Ailawalia P, Budhiraja S (2015) Disturbance in thermo-microstretch elastic medium with internal heat source. Mech Adv Mater Struct 22:776–783

    Google Scholar 

  17. Marin M, Agarwal RP, Mahmoud SR (2013) Modeling a microstretch thermoelastic body with two temperatures. Abstr Appl Anal 2013, Article ID 583464. https://doi.org/10.1155/2013/583464

    Google Scholar 

  18. Abbas IA, Kumar R, Reen LS (2014) Response of thermal source in transversely isotropic thermoelastic materials without energy dissipation and with two temperatures. Can J Phys 92(11):1305–1311

    CAS  Google Scholar 

  19. Bachher M, Sarker N, Lahiri A (2014) Generalized thermoelastic infinite medium with voids subjected to an instantaneous heat sources with fractional derivative heat transfer. Int J Mech Sci 89:84–91

    Google Scholar 

  20. Abbas IA, Kumar R, Rani L (2015) Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating. Appl Math Comput 254:360–369

    Google Scholar 

  21. Ailawalia P, Sachdeva SK, Pathania DS (2017) Effect of mechanical force along the interface of semi-infinite semiconducting medium and thermoelastic micropolar cubic crystal. Cogent Mathematics 4, Article 1347991

  22. Abd-Alla AM, Abo-Dahab SM, Alotaibi HA (2017) Propagation of a thermoelastic wave in a half-space of a homogeneous isotropic material subjected to the effect of gravity field. Arch Civil Mech Engg 17:564–573

    Google Scholar 

  23. Marin M, Öchsner A (2017) The effect of a dipolar structure on the Hölder stability in Green–Naghdi thermoelasticity. Contin Mech Thermodyn 29(6):1365–1374

    Google Scholar 

  24. Gordon JP, Leite RCC, Moore RS, Porto SPS, Whinnery JR (1965) Long-transient effects in lasers with inserted liquid samples. J Appl Phys 36:3–8

    Google Scholar 

  25. Kreuzer LB (1971) Ultralow gas concentration infrared absorption spectroscopy. J Appl Phys 42:2934–2943

    CAS  Google Scholar 

  26. Tam AC (1983) Ultrasensitive laser spectroscopy. Academic, New York, pp 1–108

    Google Scholar 

  27. Tam AC (1986) Applications of photoacoustic sensing techniques. Rev Mod Phys 58(2):381–432

    CAS  Google Scholar 

  28. Tam AC (1989) Photothermal investigations in solids and fluids. Academic, Boston, pp 1–33

    Google Scholar 

  29. Todorovic DM, Nikolic PM, Bojicic AI (1999) Photoacoustic frequency transmission technique: electronic deformation mechanism in semiconductors. J Appl Phys 85:7716–7726

    CAS  Google Scholar 

  30. Todorovic DM (2005) Plasmaelastic, and thermoelastic waves in semiconductors. J de Phys.IV(Proc.) France 125:551–555

    Google Scholar 

  31. Song YQ, Todorovic DM, Cretin B, Vairac P (2010) Study on the generalized thermoelastic vibration of the optically excited semiconducting microcantilevers. Int J Solids Struct 47(14–15):1871–1875

    Google Scholar 

  32. Song YQ, Bai JT, Ren ZY (2012) Reflection of plane waves in a semiconducting medium under photothermal theory. Int J Thermophys 33(7):1270–1287

    CAS  Google Scholar 

  33. Mandelis A, Nestoros M, Christofides C (1997) Thermoelectronic-wave coupling in laser photothermal theory of semiconductors at elevated temperatures. Opt Eng 36(2):469–472

    Google Scholar 

  34. Todorovic DM (2003) Plasma, thermal, and elastic waves in semiconductors. Rev Sci Instrum 74:582–585

    CAS  Google Scholar 

  35. Todorovic DM, Nikolic PM, Bojicic AI, Radulovic KT (1997) Thermoelastic and electronic strain contributions to the frequency transmission photoacoustic effect in semiconductors. Phys Rev B 55(23):Article 15631

    Google Scholar 

  36. Othman MIA, Tantawi RS, Eraki EEM (2017) Effect of initial stress on a semiconductor material with temperature dependent properties under DPL model. Microsyst Technol 23(12):5587–5598

    Google Scholar 

  37. Misra JC, Samanta SC, Chakrabarti AK (1991) Magneto-thermoelastic interaction in an aeolotropic solid cylinder subjected to a ramp-type heating. Int J Eng Sci 29(9):1065–1075

    Google Scholar 

  38. Misra JC, Samanta SC, Chakrabarti AK (1992) Transient magnetothermoelastic waves in a viscoelastic half-space produced by ramp-type heating of its surface. Comput Struct 43(5):951–957

    Google Scholar 

  39. Misra JC, Chattopadhyay NC, Samanta SC (1996) Study of the thermoelastic interactions in an elastic half-space subjected to a ramp-type heating-a state-space approach. Int J Eng Sci 34(5):579–596

    Google Scholar 

  40. Youssef HM (2006) Two-dimensional generalized thermoelasticity problem for a half-space subjected to ramp-type heating. Eur J Mech A Solids 25:745–763

    Google Scholar 

  41. Youssef HM (2008) Two-dimensional problem of a two-temperature generalized thermoelastic half-space subjected to ramp-type heating. Comput Math Model 19(2):201–216

    Google Scholar 

  42. Youssef HM (2009) A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: a state-space approach. J Mech Mater Struct 4(9):1637–1649

    Google Scholar 

  43. Abbas IA, Youssef HM (2013) Two-temperature generalized thermoelasticity under, ramp-type heating by finite element method. Meccanica 48:331–339

    Google Scholar 

  44. Kumar R, Devi S (2017) Response of thermoelastic functionally graded beam due to ramp type heating in modified couple stress with dual-phase-lag model. Multidiscip Model Mater Struct 13(7):471–488

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Humanities, Maharishi Markandeshwar University, Sadopur, Ambala, Haryana, India

    Praveen Ailawalia

  2. Department of Education Haryana, Hisar, Haryana, India

    Arvind Kumar

Authors
  1. Praveen Ailawalia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Arvind Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Praveen Ailawalia.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ailawalia, P., Kumar, A. Ramp Type Heating in a Semiconductor Medium under Photothermal Theory. Silicon 12, 347–356 (2020). https://doi.org/10.1007/s12633-019-00130-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12633-019-00130-8

Keywords

Search

Navigation