Some problems connected with 2D modeling of geosynthetic tubes

Abstract Some problems connected with 2D modeling of geosynthetic tubes on rigid foundations are studied. Basic equations are derived and analyzed. The analysis of the equations is based on the implicit function theorem. Geosynthetic tubes are made of a special fabric and then filled with water or slurry. After being filled tubes take certain shapes and tensions are induced in the geosynthetic. The modeling is based on the following hypotheses: the problem is two dimensional; the geosynthetic is flexible, inextensible and has negligible weight; the foundation is rigid; and there is no friction between the foundation and the geosynthetic.