TY  - JOUR
AB  - Purpose This paper aims to describe the formulation of a displacement-based triangular membrane finite element with true drilling rotational degree of freedom (DOF).Design/methodology/approach The presented formulation incorporates the true drilling rotation provided by continuum mechanics into the displacement field by way of using the polynomial interpolation. Unlike the linked interpolation, that uses a geometric transformation between displacement and vertex rotations, in this work, the interpolation of the displacement field in terms of nodal drilling rotations is obtained following an unusual approach that does not imply any presumed geometric transformation.Findings New relationship linking the mid-side normal displacement to corner node drilling rotations is derived. The resulting new element with true drilling rotation is compatible and does not include any problem-dependent parameter that may influence the results. The spurious zero-energy mode is stabilized in a careful way that preserves the true drilling rotational degrees of freedom (DOFs).Originality/value Several works dealing with membrane elements with vertex rotational DOFs have been published with improved convergence rate, however, owing to the need for incorporating rotations in the finite element meshes involving solids, shells and beam elements, having finite elements with true drilling rotational DOFs is more appreciated.
VL  - 37
IS  - 1
SN  - 0264-4401
DO  - 10.1108/EC-12-2018-0572
UR  - https://doi.org/10.1108/EC-12-2018-0572
AU  - Boutagouga Djamel
PY  - 2019
Y1  - 2019/01/01
TI  - A formulation of membrane finite elements with true drilling rotation: The compatible triangular element
T2  - Engineering Computations
PB  - Emerald Publishing Limited
SP  - 203
EP  - 236
Y2  - 2024/04/25
ER  -