Long, Craig SLoveday, Philip WGroenwold, AA2009-06-112009-06-112009-01Long, CS, Loveday, PW and Groenwold, AA. 2009. Axisymmetric solid-of-revolution finite elements with rotational degrees of freedom. Finite elements in analysis and design, Vol. (2009), pp 1 - 310168-874Xhttp://hdl.handle.net/10204/3425https://www.sciencedirect.com/science/article/pii/S0168874X0800125Xhttps://doi.org/10.1016/j.finel.2008.08.001Author Posting. Copyright Elsevier, 2009. This is the author's version of the work. It is posted here by permission of Elsevier for personal use, not for redistributionTwo new solid-of-revolution axisymmetric finite elements, which account for hoop fibre rotations, are introduced. The first is based on an irreducible formulation, with only displacement and rotation fields assumed independently. The second element, based on a Hellinger–Reissner like formulation, possesses an additional assumed stress field. Furthermore, an element correction, often employed in membrane elements with drilling degrees of freedom to alleviate membrane-bending locking, is adapted to the axisymmetric case. The supplemental nodal rotations introduced herein enhance modelling capability, facilitating for instance the connection between axisymmetric shell and solid models. The new elements are shown to be accurate and stable on a number of popular benchmark problems when compared with previously proposed elements. In fact, for cylinders under internal pressure analysed with a regular mesh, the mixed elements predict displacement exactly, a phenomenon known as superconvergence. The new elements are also shown to be robust and accurate on a number of bending dominated problemsenAxisymmetricFinite elementDrilling degrees of freedomRotational degrees of freedomHoop fibre rotationsSuperconvergenceArticleLong, C. S., Loveday, P. W., & Groenwold, A. (2009). Axisymmetric solid-of-revolution finite elements with rotational degrees of freedom. http://hdl.handle.net/10204/3425Long, Craig S, Philip W Loveday, and AA Groenwold "Axisymmetric solid-of-revolution finite elements with rotational degrees of freedom." (2009) http://hdl.handle.net/10204/3425Long CS, Loveday PW, Groenwold A. Axisymmetric solid-of-revolution finite elements with rotational degrees of freedom. 2009; http://hdl.handle.net/10204/3425.TY - Article AU - Long, Craig S AU - Loveday, Philip W AU - Groenwold, AA AB - Two new solid-of-revolution axisymmetric finite elements, which account for hoop fibre rotations, are introduced. The first is based on an irreducible formulation, with only displacement and rotation fields assumed independently. The second element, based on a Hellinger–Reissner like formulation, possesses an additional assumed stress field. Furthermore, an element correction, often employed in membrane elements with drilling degrees of freedom to alleviate membrane-bending locking, is adapted to the axisymmetric case. The supplemental nodal rotations introduced herein enhance modelling capability, facilitating for instance the connection between axisymmetric shell and solid models. The new elements are shown to be accurate and stable on a number of popular benchmark problems when compared with previously proposed elements. In fact, for cylinders under internal pressure analysed with a regular mesh, the mixed elements predict displacement exactly, a phenomenon known as superconvergence. The new elements are also shown to be robust and accurate on a number of bending dominated problems DA - 2009-01 DB - ResearchSpace DP - CSIR KW - Axisymmetric KW - Finite element KW - Drilling degrees of freedom KW - Rotational degrees of freedom KW - Hoop fibre rotations KW - Superconvergence LK - https://researchspace.csir.co.za PY - 2009 SM - 0168-874X T1 - Axisymmetric solid-of-revolution finite elements with rotational degrees of freedom TI - Axisymmetric solid-of-revolution finite elements with rotational degrees of freedom UR - http://hdl.handle.net/10204/3425 ER -