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2 2019

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Resonance of nanoscale beam due to various sources in modified couple stress thermoelastic diffusion with phase lags

Kumar Rajneesh, Devi Shaloo, Sharma Veena

Mechanics and Mechanical Engineering

2019

Vol. 23, nr 1

36--49

This paper deals with the study of thermoelastic thin beam in a modified couple stress with three-phaselag thermoelastic diffusion model subjected to thermal and chemical potential sources. The governing equations are derived by using the Euler-Bernoulli beam assumption and eigenvalue approach. The Laplace transform technique is employed to obtain the expressions for displacements, lateral deflection, temperature change, axial stress and chemical potential. A particular type of instantaneous and distributed sources is taken to show the utility of the approach. The general algorithm of the inverse Laplace transform is developed to compute the results numerically. The numerical results are depicted graphically to show the effects of phase lags, with and without energy dissipation on the resulting quantities. Some special cases are given.

Phase-lag effects in skin tissue during transient heating

Kumar R., Vashishth A. K., Ghangas S.

International Journal of Applied Mechanics and Engineering

2019

Vol. 24, no. 3

603--623

A three-phase-lag (TPL) model is proposed to describe heat transfer in a finite domain skin tissue with temperature dependent metabolic heat generation. The Laplace transform method is applied to solve the problem. Three special types of heat flux are applied to the boundary of skin tissue for thermal therapeutic applications. The depth of tissue is influenced by the different oscillation heat flux. The comparison between the TPL and dual-phase-lag (DPL) models is analyzed and the effects of phase lag parameters […] and material constant […] on the tissue temperature distribution are presented graphically.