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

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Asghari, H. and Miller, L. and Penta, R. and Merodio, J. (2024) On an isotropic porous solid cylinder : the analytical solution and sensitivity analysis of the pressure. Applied Mathematics and Mechanics (English Edition), 45 (9). pp. 1499-1522. ISSN 1573-2754 (https://doi.org/10.1007/s10483-024-3144-7)

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Abstract

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 v have the highest influence on the pressure whereas the initial value of pressure P0 plays a very little role.

ORCID iDs

Asghari, H., Miller, L. ORCID logoORCID: https://orcid.org/0000-0001-8350-1887, Penta, R. and Merodio, J.;
  • Item type:Article
    ID code:91959
    Dates:
    Date
    Event
    30 September 2024
    Published
    29 August 2024
    Published Online
    12 July 2024
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:03 Feb 2025 14:47
    Last modified:04 Feb 2025 17:11
    URI:https://strathprints.strath.ac.uk/id/eprint/91959
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