On an isotropic porous solid cylinder:the analytical solution and sensitivity analysis of the pressure

作     者：H.ASGHARI L.MILLER R.PENTA J.MERODIO H.ASGHARI;L.MILLER;R.PENTA;J.MERODIO

作者机构：Departamento de Matematica Aplicada a las TICETS de Ingenieria de Sistemas InformaticosUniversidad Politecnica de MadridMadrid 28031Spain School of Mathematics and StatisticsUniversity of GlasgowGlasgow G128QQU.K. 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2024年第45卷第9期

页      面：1499-1522页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the Engineering and Physical Sciences Research Council of U. K.(Nos. EP/S030875/1  EP/T017899/1  and EP/T517896/1) 

主　　题：sensitivity analysis Laplace transform cylindrical polar coordinate Biot's modulus cylinder 

摘      要：Within this work,we perform a sensitivity analysis to determine the influence of the material input parameters on the pressure in an isotropic porous solid *** provide a step-by-step guide to obtain the analytical solution for a porous isotropic elastic cylinder in terms of the pressure,stresses,and elastic *** obtain the solution by performing a Laplace transform on the governing equations,which are those of Biot s poroelasticity in cylindrical polar *** enforce radial boundary conditions and obtain the solution in the Laplace transformed domain before reverting back to the time *** sensitivity analysis is then carried out,considering only the derived pressure *** analysis finds that the time t,Biot s modulus M,and Poisson s ratio ν have the highest influence on the pressure whereas the initial value of pressure P_(0) plays a very little role.