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http://dx.doi.org/10.12989/gae.2019.19.5.369

Deformation in transversely isotropic thermoelastic medium using new modified couple stress theory in frequency domain  

Lata, Parveen (Department of Basic and Applied Sciences, Punjabi University)
Kaur, Harpreet (Department of Basic and Applied Sciences, Punjabi University)
Publication Information
Geomechanics and Engineering / v.19, no.5, 2019 , pp. 369-381 More about this Journal
Abstract
The objective of this paper is to study the two dimensional deformation in transversely isotropic thermoelastic medium without energy dissipation due to time harmonic sources using new modified couple stress theory, a continuum theory capable to predict the size effects at micro/nano scale. The couple stress constitutive relationships have been introduced for transversely isotropic thermoelastic medium, in which the curvature tensor is asymmetric and the couple stress moment tensor is symmetric. Fourier transform technique is applied to obtain the solutions of the governing equations. Assuming the deformation to be harmonically time-dependent, the transformed solution is obtained in the frequency domain. The application of a time harmonic concentrated and distributed sources have been considered to show the utility of the solution obtained. The displacement components, stress components, temperature change and couple stress are obtained in the transformed domain. A numerical inversion technique has been used to obtain the solutions in the physical domain. The effects of angular frequency are depicted graphically on the resulted quantities.
Keywords
new modified couple stress theory; length scale parameters; transversely isotropic; concentrated and distributed sources; harmonic behavior; Fourier transform; angular frequency;
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Times Cited By KSCI : 4  (Citation Analysis)
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