Adaptive finite elements based on Carrera unified formulation for meshes with arbitrary polygons

Adaptive finite elements based on Carrera unified formulation for meshes with arbitrary polygons

Maria Cinefra, Andrea Rubino

Abstract. The new Adaptive Finite Elements presented are based on Carrera Unified Formulation (CUF) that permits to implement 1D and 2D elements with 3D capabilities. In particular, by exploiting the node-dependent kinematic approach recently introduced and incorporating the FEM shape functions with the CUF kinematic assumptions in unique 3D approximating functions, it is demonstrated that new mesh capabilities can be obtained with the use of presented elements by easy implementation. A classical patch test is performed to investigate the mesh distortion sensitivity.

Keywords
Carrera Unified Formulation, Adaptive Finite Elements, 3D Elements, Node- Dependent Kinematics, Arbitrary Polygons

Published online 11/1/2023, 4 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Maria Cinefra, Andrea Rubino, Adaptive finite elements based on Carrera unified formulation for meshes with arbitrary polygons, Materials Research Proceedings, Vol. 37, pp 313-316, 2023

DOI: https://doi.org/10.21741/9781644902813-68

The article was published as article 68 of the book Aeronautics and Astronautics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] H. Chi, L. Beirão Da Veiga, G.H. Paulino, Some basic formulations of the Virtual Element Method (VEM) for finite deformations, Comput. Methods Appl. Mech. Eng. 318 (2017) 148-192. https://doi.org/10.1016/j.cma.2016.12.020
[2] L. Beirão Da Veiga, F. Brezzi, L.D. Marini, A. Russo, The hitchhiker’s guide to the virtual element method, Math. Models Methods Appl. Sci. 24:08 (2014) 1541-1573. https://doi.org/10.1142/S021820251440003X
[3] G. Li, E. Carrera, M. Cinefra, A.G. De Miguel, A. Pagani, E. Zappino, An adaptable refinement approach for shell finite element models based on node-dependent kinematics, Compos. B. Eng. 210 (2019) 1-19. https://doi.org/10.1016/j.compstruct.2018.10.111
[4] M. Cinefra, Non-conventional 1D and 2D finite elements based on CUF for the analysis of non-orthogonal geometries, Eur. J. Mech. A Solids 88 (2021) 104273. https://doi.org/10.1016/j.euromechsol.2021.104273