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Structural Engineering and Mechanics
  Volume 76, Number 1, October10 2020 , pages 17-26

Effect of length scale parameters on transversely isotropic thermoelastic medium using new modified couple stress theory
Parveen Lata and Harpreet Kaur

    The objective of this paper is to study the deformation in transversely isotropic thermoelastic solid using new modified couple stress theory subjected to ramp-type thermal source and without energy dissipation. This theory contains three material length scale parameters which can determine the size effects. The couple stress constitutive relationships are introduced for transversely isotropic thermoelastic solid, in which the curvature (rotation gradient) tensor is asymmetric and the couple stress moment tensor is symmetric. Laplace and Fourier transform technique is applied to obtain the solutions of the governing equations. 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 length scale parameters are depicted graphically on the resulted quantities. Numerical results show that the proposed model can capture the scale effects of microstructures.
Key Words
    new modified couple stress theory; length scale parameters; transversely isotropic; ramp type heat; Laplace and Fourier transform
Department of Basic and Applied Sciences, Punjabi University, Patiala, Punjab, India

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