Finite element analysis of membrane wrinkling

New results are presented for the nite element analysis of wrinkling in curved elastic membranes undergoing large deformation. Concise continuum level governing equations are derived in which singularities are eliminated. A simple and e cient algorithm with robust convergence properties is established to nd the real strain and stress of the wrinkled membrane for Hookean materials. The continuum theory is implemented into a nite element code. Explicit formulas for the internal forces and the tangent sti ness matrix are derived. Numerical examples are presented that demonstrate the e ectiveness of the new theory for predicting wrinkling in membranes undergoing large deformation