Eigenvalue approach to the solution of generalized thermoelastic interactions in an infinite body with cylindrical cavity
Date
2015
Authors
Lahiri, Abhijit
Sarkar, S.
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
A generalized thermoelastic problem with temperature- dependent modulus of elasticity and thermal conductivity has been considered in an infinite medium with a cylindrical cavity. After applying Laplace-transformation the basic equations are presented in the form of a vector-matrix differential equation and then are solved by eigen-value method. Finally, the expressions of radial displacement, temperature and stress distribution are shown graphically for two different cases to compare the situations between the temperature-dependent and temperature-independent material properties in the inverse Laplace domain.
Description
Paper presented at the 3rd Strathmore International Mathematics Conference (SIMC 2015), 3 - 7 August 2015, Strathmore University, Nairobi, Kenya.
Keywords
Generalized thermoelasticity, Laplace transform, Vector-matrix differential equation, Eigenvalue method