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The apparatuses of integral transforms and matrix differential calculation were applied to derive the exact analytical solution of the axisymmetric problem for a poroelastic hollow finite cylinder. Such cylinders can serve as mathematical models for some medical and geological objects, which explains the relevance of the present research. The conducted investigation allowed to notice some dependencies between stress and pore pressure on geometrical parameters, loading types and poroelasticity parameters of the materials.

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On the Stress State of a Poroelastic Hollow Finite Cylinder

  • 章节

  • 发表日期：

    2025年

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  • Natalya Vaysfeld,
  • Zinaida Zhuravlova

摘要

The apparatuses of integral transforms and matrix differential calculation were applied to derive the exact analytical solution of the axisymmetric problem for a poroelastic hollow finite cylinder. Such cylinders can serve as mathematical models for some medical and geological objects, which explains the relevance of the present research. The conducted investigation allowed to notice some dependencies between stress and pore pressure on geometrical parameters, loading types and poroelasticity parameters of the materials.