Fracture Mechanics and Strength of Materials

The Investigation of Stress State of an Axisymmetric Poroelastic Cylinder

Zinaida Zhuravlova

Odesa I.I. Mechnikov National University

https://doi.org/10.15407/msse2023.208

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Keywords

orthotropic plate, curvilinear holes, stress concentration, singular integral equations

Abstract

The stress state of an axisymmetric poroelastic cylinder was investigated with the help of integral transform method and apparatus of matrix differential calculation. The exact analytical solution is derived, which allows to study stress and pore pressure regarding cylinder’s sizes, poroelastic material and applied loading.

References

  1. Biot M.A. General theory of three-dimensional consolidation. // J. Appl. Phys. – 1941. – 12. – P. 155-164. https://doi.org/10.1063/1.1712886
  2. Cheng A. H.-D. Poroelasticity. Theory and applications of transport in porous media. – Springer, 2016. – 877 p. https://doi.org/10.1007/978-3-319-25202-5
  3. Popov G.Ya. Exact solutions of some boundary problems of deformable solid mechanic. – Odessa: Astroprint, 2013. – 424 p.