Dear Researchers,
Recently, my research group and I have been working on understanding the formulation of axisymmetric elements. We began by studying 4-node and 8-node Axisymmetric-Harmonic elements, which are well described in Cook’s textbooks [1,2] and, e.g., in this paper [3].
We also utilized them in some simple case studies using Ansys APDL software, using PLANE25 Axisymmetric-Harmonic 4-nodes (https://www.mm.bme.hu/~gyebro/files/ans_help_v182/ans_elem/Hlp_E_PLANE25.html) and PLANE83 Axisymmetric-Harmonic 8-nodes (https://www.mm.bme.hu/~gyebro/files/ans_help_v182/ans_elem/Hlp_E_PLANE83.html).
However, these elements (PLANE25, PLANE83) are limited to linear analysis cases.
Therefore, we have moved on to using Solid 272 & 273 - General Axisymmetric Solid Elements with 4 & 8 base nodes, which can also be used for nonlinear analyses.
Unfortunately, to the best of our knowledge, we have not found any articles or references that describe the formulation of these elements in detail (the Ansys reference provides an outline, but it is not sufficient for independent computational implementation).
Specifically, we are seeking information not only on the shape functions but also on handling axisymmetric loads using Fourier decomposition, and most importantly, on how conducting nonlinear analyses.
Does anyone have any papers or books to suggest?
Thank you!
References:
[1] Robert D. Cook , Concepts and Applications of Finite Element Analysis, John Wiley & Sons Inc, 1974, 978-0471169154
[2] David S. Malkus, Michael E. Plesha, Robert J. Witt, Robert D. Cook, Concepts and Applications of Finite Element Analysis, John Wiley & Sons Inc, 2001, 978-0471356059
[3] R.W. Stephenson, K.E. Rouch, R. Arora, Modelling of rotors with axisymmetric solid harmonic elements, Journal of Sound and Vibration 131(3),1989, 431-443, https://doi.org/10.1016/0022-460X(89)91003-1
Dear Ahmad,
Unfortunately, the documentation regarding the theoretical development of this element is much limited. It might be suitable for an FEM analyst who needs to use this element in Ansys, but not for the aim to conducting research on finite elements and for who want to implement this element ourselves in own scripts/software.
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