Mathematical Modeling of Thermoelastic State of a Thick Hollow Cylinder with Nonhomogeneous Material Properties

Authors

  • G.D Kedar Department of Mathematics, RTM Nagpur University, Nagpur, India
  • N.K Lamba Department of Mathematics, Shri Lemdeo Patil Mahavidyalaya, Nagpur, India
  • V. R Manthena Department of Mathematics, RTM Nagpur University, Nagpur, India
Abstract:

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 Poisson’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 Bessel’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.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Estimation of Thermoelastic State of a Thermally Sensitive Functionally Graded Thick Hollow Cylinder: A Mathematical Model

The object of the present paper is to study temperature distribution and thermal stresses of a functionally graded thick hollow cylinder with temperature dependent material properties. All the material properties except Poisson’s ratio are assumed to be dependent on temperature. The nonlinear heat conduction with temperature dependent thermal conductivity and specific heat capacity is reduced t...

full text

Thermoelastic Analysis of a Rectangular Plate with Nonhomogeneous Material Properties and Internal Heat Source

This article deals with the determination of temperature distribution, displacement and thermal stresses of a rectangular plate having nonhomogeneous material properties with internal heat generation. The plate is subjected to sectional heating. All the material properties except Poisson’s ratio and density are assumed to be given by a simple power law along x direction. Solution of the two-dim...

full text

Torsion in Microstructure Hollow Thick-Walled Circular Cylinder Made up of Orthotropic Material

In this paper, a numerical solution has been developed for hollow circular cylinders made up of orthotropic material which is subjected to twist using micro polar theory. The effect of twisting moment and material internal length on hollow thick-walled circular cylinder made up of micro polar orthotropic material is investigated. Finite difference method has been used to exhibit the influence o...

full text

Stress Redistribution Analysis of Piezomagnetic Rotating Thick-Walled Cylinder with Temperature-and Moisture-Dependent Material Properties

In this article, the problem of time-dependent stress redistribution of a piezomagnetic rotating thick-walled cylinder under an axisymmetric hygro-thermo-magneto-electro-mechanical loading is analyzed analytically for the condition of plane strain. Using the constitutive equations, a differential equation is found in which there are creep strains. Primarily, eliminating creep strains, an analyt...

full text

validation of a revised logical-mathematical intelligence scale and exploring its relationship with english language proficiency

نظریه هوش چندگانه قسمتهای متفاوت هوش بشری را مورد بررسی قرار می دهد که با شناخت آن شخص به درک بهتری از توانایی های خود میرسد و در نتیجه سعی در استفاده از آن جهت یادگیری بهتر میکند. همچنین با شناخت استعداد دانش آموزان، فرایند یادگیری بهتر میشود. هدف از انجام دادن این تحقیق بررسی رابطه بین هوش ریاضی و استعداد یادگیری زبان انگلیسی میباشد. برای انجام این تحقیق از پرسشنامه هوش ریاضی که توسط شیرر در ...

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 10  issue 1

pages  142- 156

publication date 2018-03-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023