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Coupled Systems Mechanics Volume 8, Number 6, December 2019 , pages 501-522 DOI: https://doi.org/10.12989/csm.2019.8.6.501 |
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Axisymmetric deformation in transversely isotropic thermoelastic medium using new modified couple stress theory |
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Parveen Lata and Harpreet Kaur
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| Abstract | ||
| The present study is concerned with the thermoelastic interactions in a two dimensional axisymmetric problem in transversely isotropic thermoelastic solid using new modified couple stress theory without energy dissipation and with two temperatures. The Laplace and Hankel transforms have been employed to find the general solution to the field equations. Concentrated normal force, normal force over the circular region, concentrated thermal source and thermal source over the circular region have been taken to illustrate the application of the approach. The components of displacements, stress, couple stress and conductive temperature distribution are obtained in the transformed domain. The resulting quantities are obtained in the physical domain by using numerical inversion technique. The effect of two temperature varying by taking different values for the two temperature on the components of normal stress, tangential stress, conductive temperature and couple stress are depicted graphically. | ||
| Key Words | ||
| transversely isotropic; thermoelastic; Laplace transform; Hankel transform; concentrated and distributed sources; new modified couple stress | ||
| Address | ||
| Parveen Lata and Harpreet Kaur: Department of Basic and Applied Sciences, Punjabi University, Patiala, Punjab, India | ||
