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 

机构地区：[1]Departamento de Matematica Aplicada a las TIC,ETS de Ingenieria de Sistemas Informaticos,Universidad Politecnica de Madrid,Madrid 28031,Spain [2]School of Mathematics and Statistics,University of Glasgow,Glasgow G128QQ,U.K.

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第9期1499-1522,共24页应用数学和力学（英文版）

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)。

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 cylinder.We 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 displacement.We obtain the solution by performing a Laplace transform on the governing equations,which are those of Biot's poroelasticity in cylindrical polar coordinates.We enforce radial boundary conditions and obtain the solution in the Laplace transformed domain before reverting back to the time domain.The sensitivity analysis is then carried out,considering only the derived pressure solution.This 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.

关 键 词：sensitivity analysis Laplace transform cylindrical polar coordinate Biot's modulus CYLINDER 

分 类 号：O343[理学—固体力学]