Numerical Solution for a FG Cylinder Problem Using Finite-Difference Method

Mashat, Daoud S.

doi:10.4236/am.2011.21014

Cited by 6 publications

(1 citation statement)

References 22 publications

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“…Patra et al 13 numerically studied the magneto thermoelastic problem of a rotating cylinder by developing a finite-difference method with the implicit Crank-Nicolson scheme. Similar approximate solutions were provided by Mashat 14 for a functionally graded cylinder.…”

Section: Introductionmentioning

confidence: 58%

Analysis of Electromagnetic Effect on Semiconducting Medium

Islam,

Das,

Shit

et al. 2024

Preprint

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This paper addresses the generalized electro-magneto-thermoelastic problem for a homogeneous and isotropic thin circular semiconductor. We consider the non-local heat conduction equation due to the miniaturization of modern electronic devices and their widespread use of ultrashort lasers under extremely high-temperature gradient environments in the presence of a primary electromagnetic field. The curved surface of the semiconductor is subjected to an exponentially time-dependent thermal and mechanical load. The governing coupled linear equations of hyperbolic type are numerically solved by developing a finite difference method using the Crank-Nicolson implicit scheme for extremely short-time actions and extremely small micro-structure sizes. The study investigates the effect of chemical concentration along with the physical field variables of the diffusive material to predict thermoelastic behavior in nano-structured semiconducting medium. Numerical computations of temperature distribution, chemical potential, deformation and stress components are presented for fixed values of physical parameters. The results indicate significant effects of physical parameters such as the non-local parameter, time phase lagging and heat phase lagging parameters on ultrashort thermoelastic response, which play an important role in the design and processing of nano-electro-mechanical systems (NEMS).

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Section: Introductionmentioning

confidence: 58%