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

Journal of Solid Mechanics

مقاله 1، دوره 11، شماره 1، خرداد 2019، صفحه 1-13   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2019.664213

نویسندگان

R Kumar^{* 1}؛ R Rani²؛ A Miglani²

¹Department of Mathematices, Kurukshetra University, Kurukshetra, Haryana, India

²Department of Mathematices, Choudhary Devilal University, Sirsa, Haryana, India

چکیده

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.                          

کلیدواژه‌ها

Nonlocal microstretch؛ Thermoelasticity؛ Laplace and Hankeltransforms؛ Eigenvalue approach؛ Circular plate

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