Non-linear analysis of prestretched circular membrane and a modified iteration technique

Using a non-linear theory, the deflection of a prestretched circular membrane subjected to ponding pres#sure is analyzed. The analysis may serve as a typical example of those studies where linear theories are not admissible for obtaining proper responses by an elastic system. A modified iteration technique which yields fast convergence is presented to simplify the solution effort. Four cases which are linked to the four different levels of problem-solving are examined and compared. A better underr#tanding of the non-linear behavior of a prestretched circular membrane is reached.