Analysis of wrinkled membrane structures using a Plane Stress projection procedure and the Dynamic Relaxation method

Deployable membrane structures such as inflatable stratospheric balloons are known to be sensitive the occurrence of local instabilities wrinkles. The wrinkling phenomenon affects working performances and this has controlled numerically in order predict best means deployment during inflation aerospace balloons. To improve their reliability flight, also need sized appropriately without stress field being disturbed by These originate from elements which have a negligible bending stiffness. Several models been presented literature solve problem. However, most these an elastic law Green deformation approach used for purpose. new model called PS-DPS here correcting effects wrinkles on was implemented in-house finite element software Herezh++. A projection technique based Newton–Raphson method is control plane in-plane contraction. Using Almansi strain formulation, accounts changes thickness liable occur simulations. problems due numerical overcome determining equilibrium with so-called Dynamic Relaxation using kinetic damping procedures. Unlike other literature, can materials showing complex mechanical behaviour all kinds. benchmark analysed present compared results available focusing first then non-linear hyperelastic law. Lastly, square cushion test that Zero Pressure Balloon simulated obtained indicate valid accurate take into account flexible linear behaviours.