A Problem of Axisymmetric Vibration of Nonlocal Microstretch Thermoelastic Circular Plate with Thermomechanical Sources

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  • R Kumar*1,
  • R Rani2,
  • A Miglani2,
  1. Department of Mathematices, Kurukshetra University, Kurukshetra, Haryana, India
  2. Department of Mathematices, Choudhary Devilal University, Sirsa, Haryana, India

Revised: 2018-09-01

Accepted: 2018-11-14

Published in Issue 2019-03-30

How to Cite

Kumar, R., Rani, R., & Miglani, A. (2019). A Problem of Axisymmetric Vibration of Nonlocal Microstretch Thermoelastic Circular Plate with Thermomechanical Sources. Journal of Solid Mechanics, 11(1), 1-13. https://oiccpress.com/jsm/article/view/12097

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Abstract

In the present manuscript, we investigated a two dimensional axisymmetric problem of nonlocal microstretch thermoelastic circular plate subjected to thermomechanical sources. An eigenvalue approach is proposed to analyze the problem. Laplace and Hankel transforms are used to obtain the transformed solutions for the displacements, microrotation, microstretch, temperature distribution and stresses. The results are obtained in the physical domain by applying the numerical inversion technique of transforms. The results of the physical quantities have been obtained numerically and illustrated graphically. The results show the effect of nonlocal in the cases of Lord Shulman (LS), Green Lindsay (GL) and coupled thermoelasticity (CT) on all the physical quantities.
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