Summary
Geosynthetic tubes containing dredged material or mortar are considered. A two-dimensional analysis of a cross section of the tube is carried out. The tube is modeled as a membrane with negligible weight and extensibility, resting on a rigid foundation and subjected to internal hydrostatic pressure. Closed-form and approximate solutions for the cross-sectional shape and the circumferential tension are presented, depending on the ratio of the pressure head (at the bottom or top of the tube) to the perimeter. An upper bound on the tension is obtained. Solutions are also determined for tubes that are partially or fully submerged in an external fluid, tubes that rest on a deformable foundation such as soil, and the unsymmetric problem of tubes that act as a dike and are subjected to external fluid on one side. A deformable foundation tends to cause the circumferential tension to increase, whereas external pressure tends to cause the tension to decrease.
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Plaut, R.H., Suherman, S. Two-dimensional analysis of geosynthetic tubes. Acta Mechanica 129, 207–218 (1998). https://doi.org/10.1007/BF01176746
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DOI: https://doi.org/10.1007/BF01176746