Eigenvalue Approach to Generalized Thermoelastic Interactions in an Annular Disk

N.Gangopadhyaya; N.C.Das

doi:https://doi.org/10.14445/22315373/IJMTT-V54P559

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 6 | Year 2018 | Article Id. IJMTT-V54P559 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P559

Eigenvalue Approach to Generalized Thermoelastic Interactions in an Annular Disk

N.Gangopadhyaya, N.C.Das

Citation :

N.Gangopadhyaya, N.C.Das, "Eigenvalue Approach to Generalized Thermoelastic Interactions in an Annular Disk," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 6, pp. 485-499, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P559

Abstract

The present paper encompasses the analytical solution for axisymmetric one dimensional thermomechanical response of an annular disk. The basic equations have been written in the form of a vectormatrix differential equation in the Laplace transform domain and solved by eigenvalue approach. The solutions for displacement, temperature, radial and hoop stresses are obtained in closed form in the Laplace transform domain. Numerical inversions for these field variables in the space-time domain have been made and presented in graphical form.

Keywords

Generalized thermoelasticity, Thermomechanical response, Annular disk, Eigenvalue approach, Laplace transform

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