Eigenvalue approach to hyperbolic thermoelastic problem in porous orthotropic medium with Green-Lindsay model

Abstract

The present article deals with the thermal shock response in homogeneous orthotropic medium under the purview of Green-Lindsay model in the presence of voids. The normal mode analysis is used to obtain vector matrix differential equation which is then solved by eigenvalue approach. In order to illustrate the analytical developments, the numerical solution is carried out and the effect of voids on stresses, displacements and temperature are presented graphically.

Keywords:

• Eigenvalue approach
• orthotropic medium
• thermal shock
• voids
• Green-Lindsay model

Disclosure statement

There is no conflict of interests.

Additional information

Funding

Research work of Abdush Salam Pramanik is financially supported by Junior Research Fellowship of University Grants Commission, New Delhi, India and research work of S. Biswas is financially supported by University project grant Ref. 1947/R-2019 of University of North Bengal, India.