Abstract
This paper introduces a novel multigrid approach for the geometric non-linear simulation of tension fields on the basis of a three-node membrane finite element. The element possesses, in addition to the nodal displacement degrees of freedom, an in-plane rotational degree of freedom inside the element domain that controls the direction of the tension field. This rotational degree of freedom allows the enforcement of continuity and tension field boundary conditions on the basis of a coarser mesh with varying size.
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This work was partially financed by St. John’s College, Cambridge.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Pagitz, M., Abdalla, M. Simulation of tension fields with in-plane rotational degrees of freedom. Comput Mech 46, 747–757 (2010). https://doi.org/10.1007/s00466-010-0513-1
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DOI: https://doi.org/10.1007/s00466-010-0513-1