Memory response on hygrothermal three-phase-lag hollow cylinder due to heat and moisture loading

Abstract

The paper is concerned with the impact of memory-dependent (MD) derivatives in the hygrothermal (HTE) three-phase-lag (3PL) hollow cylinder under thermal and moisture loading. We derive equations for temperature, moisture, displacement, and stress components. We solve these HTE field quantity equations using the variable separation method and Laplace transform. We then perform numerical calculations via Laplace transform inversion. We use Mathematica software to understand the hygrothermal behavior of fiber-reinforced 3PHL hollow cylinders. The model validity is assessed by comparing it to existing results. The analysis focuses on the effect of MD derivatives in the HTE 3PL model by examining their impact on heat and moisture field quantities in the presence of time delay parameters and singular kernel functions. This study further highlights the significant influence of employing various kernel functions on the behavior of the HTE hollow cylinder. The author believes that this research will help develop more robust and efficient methods for incorporating memory effects in mathematical models.