Co-rotational thin membrane elements
2005 (English)In: Proc 5th Int. Conf. Computation of Shell and Spatial Structures / [ed] E. Ramm, W.A. Wall, K.-U.Bletzinger, M. Bischoff, 2005Conference paper (Refereed)
The co-rotational (CR) technique is a kinematics description, which can be tracedback to work by Wempner1. Up to now, most of the research efforts on a co-rotationalframework have been focused on beams and shells, but there are also some investigationsextending the CR procedures to other continuum elements. A recent review of the stateof the art of CR formulation is given by Felippa and Hauge2.The concept of an element-independent co-rotational (EICR) formulation has beenproposed by Rankin and coworkers3, with its most significant feature that extraction andintegration of rigid body motion can be done in a module called CR filter, independentof linear element calculation.A unified approach to the finite element method in a co-rotational (CR) frameworkis proposed. A commonly applicable filter was developed according to the framework,with which many nonlinear CR elements can be easily developed by integrating the filterwith corresponding linear elements. The main points of the developed procedure is agenerality in basic formulation, and an algorithm based on nodal contributions. The CRfilter is formulated as a strict minimization problem, which is solved by rapidly convergingNewton iterations.Three continuum elements were developed in this framework4. Numerical exampleswith large displacements were tested with the CR elements developed in this way. Thetest results and the performance of the elements are analyzed, and conclusions are drawn,proving the unified approach to be promising, but also indicating the main problems withthe CR framework.
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IdentifiersURN: urn:nbn:se:kth:diva-73228OAI: oai:DiVA.org:kth-73228DiVA: diva2:488675
5th Int. Conf. Computation of Shell and Spatial Structures