Dynamic responses of a functionally graded pyroelectric hollow sphere for spherically symmetric problems
type: Item
instance of: scholarly article
title: Dynamic responses of a functionally graded pyroelectric hollow sphere for spherically symmetric problems
zbMATH Open document ID: 1073.74026
author: S. Rajasekar
published in: International Journal of Mechanical Sciences
publication date: 2004-07-12T00:00:00Z
review text: An efficient method is proposed to solve the spherically symmetric dynamic problems of a functionally graded pyroelectric hollow sphere subjected to arbitrary spherically symmetric thermal loads. Firstly, a new dependent variable is introduced to rewrite the governing equations, the mechanical boundary conditions as well as the initial conditions. Secondly, a special function is introduced to transform the inhomogeneous mechanical boundary conditions into the homogeneous ones. Thirdly, by virtue of the separation of variables, a Volterra integral equation of the second kind related to a function with respect to time is derived, which is solved by means of the interpolation method. Numerical results are finally presented.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 2078459
zbMATH Keywords: thermal load
zbMATH Keywords: Volterra integral equation
zbMATH Keywords: interpolation method
MaRDI profile type: Publication
full work available at URL: j.ijmecsci.2003.09.005
OpenAlex ID: W2078013463
DOI: 10.1016/J.IJMECSCI.2003.09.005
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description: scientific article; zbMATH DE number 2078459