Analysis of wrinkling in FGM membrane using the Asymptotic Numerical Method

In this work, we focus on the wrinkling phenomenon of Functionally Graded Material (FGM) membranes under uniaxial tensile traction using the Asymptotic Numerical Method (ANM). The objective of this study is to use a comprehensive model based on the Föppl-von Kármán theory. The obtained non-linear equations are solved using the ANM algorithm, aiming to numerically demonstrate the influence of FGM parameters, thickness, material parameter and aspect ratio on determining the critical wrinkling load and post-critical behavior. A comparison between the results obtained by ANM and those of Abaqus is presented.