If the seabed is modeled as a poroelastic medium, the stresses and pore pressure induced by sea waves attacking pile-supported structures can be approximately treated by a quasi-static, single-phase theory almost everywhere except near the unsealed mudline. Therefore, the theory of a pile in an elastic half-space is fundamental. A survey of literature indicates that existing theories are only numerical; the few analytical formulas are based on either intuitive argument or interpolation of numerical work. A more systematic theory is first developed here for an axially loaded pile by employing slender-body approximation to a pair of integral equations. The results are used to calculate the pore pressure in the seabed around low-frequency loading.
A Slender-Body Theory for a Rigid Pile Under Static or Low-Frequency Axial Loading
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Fallou, S. N. B., and Mei, C. C. (December 1, 1985). "A Slender-Body Theory for a Rigid Pile Under Static or Low-Frequency Axial Loading." ASME. J. Energy Resour. Technol. December 1985; 107(4): 433–440. https://doi.org/10.1115/1.3231215
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