Three‑phase‑lags thermoelastic infinite medium model with a spherical cavity via memory-dependent derivatives

The present study examines the impact of a three-phase lags thermoelastic infinite medium with a spherical cavity subjected to thermal shock in the temperature of its internal boundary. In this study, a new time-fractional three-phase-lag thermoelasticity model with memory-dependent derivatives is utilized. From the suggested model, we recover certain previous thermoelasticity models as special instances. Laplace transform techniques are used. The solution to the problem in the transformed domain is obtained by using the Gaver-Stehfest algorithm. The validity of the proposed theory is evaluated through a comparison with the existing literature. The numerical computations are conducted and represented graphically. The numerical values of field variables show significant differences for a specific material, highlighting important points related to the prediction of the new model. The article’s physical viewpoints could be helpful in the development of novel materials.