Transient-thermoelastic analysis of periodically rotated functionally graded hollow cylinder

Yarımpabuç, Durmuş

doi:10.1007/s10665-021-10141-3

Cited by 5 publications

(1 citation statement)

References 33 publications

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“…Analytical solutions of these integrals (19), which include Bessel functions and derivatives, could be tricky. At this stage, the Gaussian quadrature method obtains the integrals to find the D 1 (z, s) and D 2 (z, s) functions [20].…”

Section: Governing Equationmentioning

confidence: 99%

Semi-analytical solution of hyperbolic heat conduction of a semi-infinite functionally graded body with a time dependent laser heat source

YARIMPABUÇ,

MERT

2023

Preprint

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In this study, the hyperbolic heat conduction of a semi-infinite functionally graded body isolated under the effect of a time-dependent laser heat source is solved semi-analytically. Except for the thermal relaxation parameter, which is considered to be constant, it is assumed that the material properties of the body change with the force rule in the axial direction. These conditions produce a linear non-homogeneous partial differential equation.It is converted into an ordinary differential equation by removing the time dependence with Laplace transform. Then, after this ordinary differential equation is solved analytically in Laplace space, the values of the final results in time-space are obtained using the modified Durbin method. The benchmark solution is used to validate the semi-analytical solution for the homogeneous material. For two different laser heat sources: constant strength and instantaneous source, temperature distributions of functionally graded material are discussed on graphs.

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Section: Governing Equationmentioning

confidence: 99%