Abstract
AbstractIn this manuscript, the generalized micropolar theory of thermoelasticity is modified using fractional calculus. The revised equations are used to solve a problem for a half-space whose boundary is rigidly fixed and subjected to an axisymmetric thermal shock. Laplace and Hankel transform techniques are used. The analytical solution in the transform domain is obtained by using a new direct approach without the customary use of potential functions. By using a numerical method based on the Fourier expansion technique, the inverse of the double transform can be obtained. The numerical results for displacement, microrotation, stress, micro-stress, and temperature are obtained and represented graphically. Comparisons are made with the results of the older theory.
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Computational Mechanics
Reference46 articles.
1. Eringen, A.C.: Foundations of Micropolar Thermoelasticity. Springer-Verlag, Berlin (1970)
2. Nowacki, W.: Couple stress in the theory of thermoelasticity. Bull. Acad. Pol. Sci. Tech. 14, 97–106 (1966)
3. Iesan, D.: On the plane coupled micropolar thermoelasticity. Bull. Acad. Pol. Sci. Tech. 16, 379–384 (1968)
4. Shanker, M., Dhaliwal, R.: Dynamic coupled thermoelastic problems in micropolar theory I. Int. J. Eng. Sci. 13, 121–148 (1975)
5. Shanker, M., Dhaliwal, R.: Dynamic plane strain problem of infinite micropolar thermoelastic body under the action of body forces and heat sources. Utilitas Math. 8, 127–179 (1975)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献