Closed-Form Expression of the Similarity Solutions for an Air-Filled Heavy Geomembrane Tube Section on a Rigid Horizontal Foundation

AbstractThis study considers an air-filled heavy geomembrane tube section on a rigid horizontal foundation. All quantities are normalized to obtain similarity solutions. Integral terms of the semianalytic solutions are evaluated analytically, resulting in closed-form solutions. The closed-form solutions are expressed as simple functions of the pressure parameter. The validity of these solutions is confirmed, and some results are shown for characteristic values and shapes.