Abstract
4-node incompatible axisymmetric hybrid stress elements are developed by a modified rational approach based on an extended Hellinger-Reissner principle. The stress fields are derived by using the constraint conditions that the equilibrium equations of higher order stress terms are imposed in a variational sense through the additional incompatible displacements. The resulting elements enjoy good performance in bending problems and at the nearly incompressible limit. Several examples are given to demonstrate the performance of the new elements.
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The project supported by the National Natural Science Foundation of China
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Zongshu, T., Jinsong, L. & Jiong, T. New axisymmetric solid elements based on an extended Hellinger-Reissner principle. Acta Mech Sinica 10, 349–359 (1994). https://doi.org/10.1007/BF02486677
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DOI: https://doi.org/10.1007/BF02486677