Investigation of porous stress state of semi-infinite hollow cylinder under axisymmetric loading

Authors

  • N. D. Vaysfeld King's college, Strand building, S2.35, London
  • Z. Yu. Zhuravlova Odessa I. I. Mechnikov National University https://orcid.org/0000-0002-3271-8864

DOI:

https://doi.org/10.17721/1812-5409.2023/2.11

Keywords:

poroelastic hollow cylinder, axisymmetric loading, integral transform

Abstract

The exact solution of the poroelasticity problem for a semi-infinite hollow cylinder under the axisymmetric load is derived in the paper. The original problem was reduced to a one-dimensional problem by applying the integral Fourier transform. The one-dimensional boundary value problem in the transform domain is formulated in a vector form, its solution is found using the matrix differential calculation apparatus. The derived analytical formulas allow to investigate the change of displacements, stresses and pore pressure depending on the type of porous material, the applied load, the size of outer and inner radii of the cylinder.

Pages of the article in the issue: 92 - 95

Language of the article: Ukrainian

References

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Published

2023-12-23

How to Cite

Vaysfeld, N. D., & Zhuravlova, Z. Y. (2023). Investigation of porous stress state of semi-infinite hollow cylinder under axisymmetric loading. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (2), 92–95. https://doi.org/10.17721/1812-5409.2023/2.11

Issue

Section

Differential equations, mathematical physics and mechanics