Mathematical Modeling for Thermoelastic Double Porous Micro-Beam Resonators

PDF
  • R Kumar1,
  • R Vohra*2,
  • M.G Gorla2,
  1. Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
  2. Department of Mathematics& Statistics, H.P.University, Shimla, HP, India

Revised: 2018-02-08

Accepted: 2018-03-29

Published in Issue 2018-06-30

How to Cite

Kumar, R., Vohra, R., & Gorla, M. (2018). Mathematical Modeling for Thermoelastic Double Porous Micro-Beam Resonators. Journal of Solid Mechanics, 10(2), 271-284. https://oiccpress.com/jsm/article/view/12052

PDF views: 131

Abstract

In the present work, the mathematical model of a homogeneous, isotropic thermoelastic double porous micro-beam, based on the Euler-Bernoulli theory is developed in the context of Lord-Shulman [1] theory of thermoelasticity. Laplace transform technique has been used to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field and temperature distribution. A numerical inversion technique has been applied to recover the resulting quantities in the physical domain. Variations of axial displacement, axial stress, lateral deflection, volume fraction field and temperature distribution with axial distance are depicted graphically to show the effects of porosity and thermal relaxation time. Some particular cases are also deduced.
PDF