Quasi-static inflation simulations based on a co-rotational triangular space membrane element

Authors: Eriksson,  , Farughi, S
Document Type: Article
Pubstate: Submitted
Journal: Int. J. Struct. Stab. Dyn.
Year: 2010


A co-rotational triangular space membrane element is developed for the quasi-static analysis of very thin structures subjected to pressure loadings from compressible media, aiming primarily at simulations of inflation processes. By separating rigid body motion and deformational displacement, the major part of geometric non-linearity is treated by a co-rotational filter. With the formulation, hyper-elastic and linear elastic material models are used in the local element expressions. Numerical experiments show that either material model can be used in the present context, but that the linearly elastic model demands an optimal reference system. The hyper-elastic form is useful also for very large expansions, but the neo-Hookean expression chosen has some limitations for large strains. The uniqueness and stability in the response of the structures must be seen as a function of either pressure or amount of gas, dependent on the precise mechanism for inflation.