Structural Engineering and Mechanics

  • 제28권1호
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  • Pages.19-38
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  • 2008
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Dynamical behavior of generalized thermoelastic diffusion with two relaxation times in frequency domain

  • 투고 : 2006.09.07
  • 심사 : 2007.09.06
  • 발행 : 2008.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

A general solution to the field equations of homogeneous isotropic generalized thermoelastic diffusion with two relaxation times (Green and Lindsay theory) has been obtained using the Fourier transform. Assuming the disturbances to be harmonically time.dependent, the transformed solution is obtained in the frequency domain. The application of a time harmonic concentrated and distributed loads have been considered to show the utility of the solution obtained. The transformed components of displacement, stress, temperature distribution and chemical potential distribution are inverted numerically, using a numerical inversion technique. Effect of diffusion on the resulting expressions have been depicted graphically for Green and Lindsay (G-L) and coupled (C-T) theories of thermoelasticity.

키워드

참고문헌

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  1. Disturbance due to Thermal and Mass Loads in Generalized Elasto-thermodiffusive Solids vol.30, pp.5, 2009, https://doi.org/10.1007/s10765-009-0638-7
  2. Evaluation of inverse Fourier transforms through romberg integration vol.47, pp.3-4, 2010, https://doi.org/10.1016/j.ijsolstr.2009.10.011
  3. Disturbance due to concentrated sources in a micropolar thermodiffusive medium vol.225, pp.2, 2011, https://doi.org/10.1243/09544062JMES1898
  4. Reflection of plane waves in thermodiffusive elastic half‐space with voids vol.8, pp.3, 2012, https://doi.org/10.1108/15736101211269113
  5. An investigation on thermoelastic interactions under two-temperature thermoelasticity with two relaxation parameters vol.21, pp.6, 2016, https://doi.org/10.1177/1081286514536429
  6. Transient Waves Due to Mechanical Loads in Elasto-Thermo-Diffusive Solids vol.3, pp.1, 2011, https://doi.org/10.4208/aamm.09-m0977
  7. A magneto-thermo-viscoelastic problem with fractional order strain under GN-II model vol.63, pp.1, 2017, https://doi.org/10.12989/sem.2017.63.1.089
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  10. Time harmonic interactions in an orthotropic media in the context of fractional order theory of thermoelasticity vol.73, pp.6, 2008, https://doi.org/10.12989/sem.2020.73.6.725
  11. Time harmonic interactions in non local thermoelastic solid with two temperatures vol.74, pp.3, 2008, https://doi.org/10.12989/sem.2020.74.3.341
  12. Orthotropic magneto-thermoelastic solid with higher order dual-phase-lag model in frequency domain vol.77, pp.3, 2008, https://doi.org/10.12989/sem.2021.77.3.315