Finite element analysis in a fiber-reinforced cylinder due to memory-dependent heat transfer
- 67 Downloads
Enlightened by the Caputo fractional derivative, the present study treats with a novel mathematical model of generalized thermoelasticity to investigate the transient phenomena for a fiber-reinforced hollow cylinder due to the influence of thermal shock and magnetic field in the context of a three-phase-lag model of generalized thermoelasticity, which is defined in an integral form of a common derivative on a slipping interval by incorporating the memory-dependent heat transfer. Employing Laplace transform as a tool, the problem has been transformed to the space domain, where the Galerkin finite element technique is incorporated to solve the resulting equations in the transformed domain. The inversion of the Laplace transform is carried out numerically on applying a method of Bellman et al. According to the graphical representations corresponding to the numerical results, conclusions about the new theory are constructed. Excellent predictive capability is demonstrated due to the presence of reinforcement, memory-dependent derivative, and magnetic field also.
Unable to display preview. Download preview PDF.
- 11.Sur, A., Kanoria, M.: Fractional order generalized thermoelastic functionally graded solid with variable material properties. J. Solid Mech. 6, 54–69 (2014)Google Scholar
- 33.Bellman, R., Kolaba, R.E., Lockette, J.A.: Numerical Inversion of the Laplace Transform. American Elsevier, New York (1966)Google Scholar
- 34.Othman, M.I.A.: Generalized electro-magneto-thermoelasticity in case of thermal shock plane waves for a finite conducting half-space with two relaxation time. Mech. Eng. 14(1), 5–30 (2010)Google Scholar
- 36.Spencer, A.J.M.: Continuum Theory of the Mechanics of Fibre-reinforced Composites. Springer, Berlin. ISBN 978-3-7091-4336-0 (1984)Google Scholar
- 38.Dhaliwal, R.S., Singh, A.: Dynamic Coupled Thermoelasticity. Hindustan Publishing Corporation, New Delhi (1980)Google Scholar