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- Title
Response of a Poroelastic Semi-Infinite Strip to the Compression Acting Upon Its Lateral Sides.
- Authors
Vaysfeld, N. D.; Zhuravlova, Z. Yu.
- Abstract
A mixed boundary-value problem for a poroelastic semi-infinite strip is formulated using Biot's theory. Two cases of boundary conditions are considered depending on the permeability of the longer sides. By using the integral transforms and matrix differential calculus, the original boundary value problem was reduced to a one-dimensional problem, which was then solved analytically. The explicit formulae are derived for the effective stress, pore pressure, and displacements. These functions are analyzed depending on the permeability of the boundary, the properties of the poroelastic material, and the compression profile along the sides.
- Subjects
POROELASTICITY; DIFFERENTIAL calculus; BOUNDARY value problems; DISPLACEMENT (Psychology)
- Publication
Journal of Mathematical Sciences, 2024, Vol 282, Issue 5, p849
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-07220-y