The poroelastic layer with an axisymmetric cylindrical hole under different types of loading. (English) Zbl 07895285
Summary: The exact solution of the poroelastic axisymmetric problem for a layer with a cylinderical hole is constructed under assumptions of Biot’s model. The calculations provided by derived explicit formulas for full stress and pore pressure allow to state some important dependencies between the poroelastic stress state of the layer and type of poroelastic materials, loading types and height of the layer.
MSC:
| 35Q74 | PDEs in connection with mechanics of deformable solids |
| 35Q35 | PDEs in connection with fluid mechanics |
| 76S05 | Flows in porous media; filtration; seepage |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74L10 | Soil and rock mechanics |
| 35A22 | Transform methods (e.g., integral transforms) applied to PDEs |
| 35A20 | Analyticity in context of PDEs |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 35C05 | Solutions to PDEs in closed form |
| 35B07 | Axially symmetric solutions to PDEs |
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