Eigenvalue Approach to Analyze Thermomechanical Behavior in Nonlocal Orthotropic Double Porous Medium With Three‐Phase‐Lag Model

ABSTRACT The present manuscript is aimed at studying the thermal shock response in a nonlocal orthotropic double‐porous thermoelastic medium under the purview of the three‐phase‐lag (TPL) model, the Green‐Naghdi model of type III (GN‐III), and the Lord‐Shulman (LS) model of hyperbolic thermoelasticity based on Eringen's nonlocal elasticity theory. To solve the current problem, a vector matrix equation is created, and the eigenvalue approach technique is used. To illustrate and validate the theoretical results, numerical simulations have been performed, and various physical quantities for time and distance are presented graphically. It also describes how various physical quantities are affected by nonlocal, phase‐lag, and void parameters. The features of various physical quantities for nonlocal versus local, double void versus without void, and first kind of void versus second kind of void are discussed. Some 3D surface curves are also presented, and it can be observed that they satisfy the surface boundary conditions.