TY - JOUR
ID - 539715
TI - Mathematical Modeling of Thermoelastic State of a Thick Hollow Cylinder with Nonhomogeneous Material Properties
JO - Journal of Solid Mechanics
JA - JSM
LA - en
SN - 2008-3505
AU - Manthena, V. R
AU - Lamba, N.K
AU - Kedar, G.D
AD - Department of Mathematics, RTM Nagpur University, Nagpur, India
AD - Department of Mathematics, Shri Lemdeo Patil Mahavidyalaya, Nagpur, India
Y1 - 2018
PY - 2018
VL - 10
IS - 1
SP - 142
EP - 156
KW - Hollow cylinder
KW - Heat conduction
KW - Thermal stresses
KW - Inhomogeneity
KW - Shear modulus
DO -
N2 - The object of the present paper is to study heat conduction and thermal stresses in a hollow cylinder with nonhomogeneous material properties. The cylinder is subjected to sectional heating at the curved surface. All the material properties except for Poissonâ€™s ratio and density are assumed to be given by a simple power law in the axial direction. A solution of the two-dimensional heat conduction equation is obtained in the transient state. The solutions are obtained in the form of Besselâ€™s and trigonometric functions. For theoretical treatment, all the physical and mechanical quantities are taken as dimensional, whereas we have considered non-dimensional parameters, for numerical analysis. The influence of inhomogeneity on the thermal and mechanical behaviour is examined. The transient state temperature field and its associated thermal stresses are discussed for a mixture of copper and tin metals in the ratio 70:30 respectively. Numerical calculations are carried out for both homogeneous and nonhomogeneous cylinders and are represented graphically.
UR - http://jsm.iau-arak.ac.ir/article_539715.html
L1 - http://jsm.iau-arak.ac.ir/article_539715_76a9f43b0cd1d8e44502c55f211a3057.pdf
ER -