Thermo-Hydro-Mechanical Interaction in a Poroelastic Half-Space with Nonlocal Memory Effects

• Published in: International journal of applied and computational mathematics Vol. 10; no. 2; p. 68
• Main Authors: Mondal, Sudip, Sur, Abhik
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.04.2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Computational Science and Engineering; Graphical representations; Half spaces; Heat conductivity; Kernel functions; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Mechanics; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Parameters; Phase lag; Poroelasticity; Porous media; Theoretical; Transport equations; Thermo-hydro-mechanical dynamics; Memory-dependent derivative; Nonlocal heat conduction; Normal mode analysis
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-024-01717-5

The present analysis aims to develop a new mathematical model describing hydro-mechanical interaction based on the nonlocal theory proposed by Eringen for a poroelastic half-space. The bounding plane of the porous medium is subjected to prescribed mechanical and thermal loading. The heat transport law for the problem is governed within a sliding interval in the context of memory dependent Dual-phase lag model. Incorporating the normal mode analysis, the solutions of the field quantities have been derived and also have been depicted graphically. Through the discussion of the computational results and the graphical representations, significant effects of the effective parameters such as nonlocal parameter, time-delay has been studied. How the selection of various kernel function reflects in the distribution of the thermophysical quantities have also been reported. A complete and comprehensive analysis is also done to conclude the superiority of a nonlinear kernel over the linear kernel functions of the heat transport equation.