Thermal stresses induced by a point heat source in a hollow disk by quasi-static approach

African Journal of Mathematics and Computer Science Research

K. C. Deshmukh¹ 

关键词: Transient;    thermoelastic problem;    thermal stresses;    heat generation non homogenous boundary value problem.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

This paper deals with the two dimensional non-homogeneous boundary valueproblem of heat conduction in a hollow disk defined asand discussed the thermoelastic behavior due to internal heat generation within it. A thin hollow disk is considered having arbitrary initial temperature and subjected to time dependent heat flux at the outer circular boundarywhereas inner circular boundaryis at zero heat flux. Also, the upper surfaceof the hollow disk is insulated and the lower surfaceis at zero temperature. The governing heat conduction equation has been solved by using integral transform technique. The results are obtained in series form in terms of Bessel’s functions. The results for displacement and stresses have been computed numerically and are illustrated graphically.

【 授权许可】

CC BY