Memory response of porous cylindrical panels with voids in the framework of three-phase-lag theory

Abstract

This article explores the memory effects of a three-dimensional cylindrical panel with a void using the Three-Phase-Lag (3PL) theory. The study derives the governing equations for displacement, temperature, void volume fraction, and stress. These equations are solved using Fourier–Laplace transforms and eigenvalue methods. To obtain numerical solutions and generate graphical representations, the transformed equations were inverted. Material properties from Gauthier’s work were used, and graphical results were produced using Mathematica software. The influence of memory response is then demonstrated by comparing kernel functions and time delay parameters within the 3PL porous cylindrical panel. The results show significant changes in the behavior of the panel. The validity of the proposed model is confirmed by comparing its predictions with previously published findings. The authors believe these results can provide valuable insights for various engineering applications involving porous materials. The model allows for accurate prediction of material behavior under different loading conditions, leading to a deeper understanding of various kernel phenomena.