Simulation of inflatable structures: two proposals of dynamic relaxation methods usable with any type of membrane elements and any reversible behavior
Document typeConference report
Rights accessOpen Access
This work deals with the numerical study of inflatable fabric structures. As implicit integration schemes can lead to numerical difficulties, such as singular stiffness matrices, explicit schemes are preferred. Since the final objective of this study is to obtain the final shape of a structure, dynamic relaxation (DR) methods are used. These methods permit to obtain the final and stable shape of the inflatable fabric structures without doing so many time increments, which is the case when using a classical explicit integration method. Han and Lee (Computers and structures, 2003, 81, pp. 1677-1688) proposed an extension of the DR method stated by Barnes (Computers and Structures, 1988, pp. 685-695) suitable for triangular elements and elastic behavior. In this work we propose a modification of the method presented by Han and Lee which permits the method to be used with any kind of membrane or volumetric finite elements and any reversible behavior. Also, we propose another formulation based on the one initially proposed by Barnes. Furthermore, these presented methods are adapted to incremental loadings, allowing this way to obtain the pseudo-equilibriums of the intermediate phases. Numerical examples from academic problems (rectangular and circular membranes) show the efficiency and the reliability of proposed methods, with linear elasticity behavior, and also with general hyperelasticity and finite deformation states.
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