TY - JOUR
ID - 542582
TI - Mathematical Modeling for Thermoelastic Double Porous Micro-Beam Resonators
JO - Journal of Solid Mechanics
JA - JSM
LA - en
SN - 2008-3505
AU - Kumar, R
AU - Vohra, R
AU - Gorla, M.G
AD - Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
AD - Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
Y1 - 2018
PY - 2018
VL - 10
IS - 2
SP - 271
EP - 284
KW - Double porosity
KW - Thermoelasticity
KW - Lord-shulman theory
KW - Micro-beam
DO -
N2 - 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.
UR - http://jsm.iau-arak.ac.ir/article_542582.html
L1 - http://jsm.iau-arak.ac.ir/article_542582_60eab3e151d683ac70a33297b20148cc.pdf
ER -