Axisymmetric Problem of Thick Circular Plate with Heat Sources in Modified Couple Stress Theory

Journal of Solid Mechanics

مقاله 12، دوره 9، شماره 1، خرداد 2017، صفحه 157-171   

نوع مقاله: Research Paper

نویسندگان

R Kumar^{* 1}؛ Sh Devi²؛ V Sharma²

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

²Department of Mathematics & Statistics, Himachal Pradesh University Shimla, Shimla, India

چکیده

The main aim is to study the two dimensional axisymmetric problem of thick circular plate in modified couple stress theory with heat and mass diffusive sources. The thermoelastic theories with mass diffusion developed by Sherief et al. [1] and kumar and Kansal [2] have been used to investigate the problem. Laplace and Hankel transforms technique is applied to obtain the solutions of the governing equations. The displacements, stress components, temperature change and chemical potential are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. Effects of couple stress on the resulting quantities are shown graphically. Some particular cases of interest are also deduced.

کلیدواژه‌ها

Modified couple stress؛ Axisymmetric heat sources؛ Heat generation؛ Laplace and Hankel transforms

مراجع

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