A unified approach for shear-locking-free triangular and rectangular shell finite elements

By Kai-Uwe Bletzinger, Manfred Bischoff, Ekkehard Ramm. 2000

489 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/30f7894441f7ea805f747927a0c0af358828b77b

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators by the cell-based smoothed discrete shear gap method (CS-FEM-DSG3) (2013, methodology): “Extending the idea of the CS-FEM to plate structures, Nguyen-Thoi et al [74] have recently formulated a cell-based smoothed stabilized discrete shear gap element (CS-FEM-DSG3) using only three-node triangular elements for static and free vibration analyses of isotropic Mindlin plates by incorporatin”
NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter (2012, methodology): “Different techniques by which the locking phenomenon can be suppressed include: • Retain the original interpolations and subsequently use an optimal integration rule for evaluating the bending and the shear terms; • Mixed interpolation technique [9]; • Use field redistributed substitute shape functi”
An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “1 The DSG3 was initially labeled in the original contribution [39] without any stabilization.”
An isogeometric Reissner–Mindlin shell element based on Bézier dual basis functions: Overcoming locking and improved coarse mesh accuracy (2020, background): “Prominent among these approaches are mixed formulations based on generalized variational principles [6, 7, 8] with displacement, strain and/or stress unknowns, the reduced and selective integration techniques [9, 10, 11], the assumed strain method [12, 13, 14, 15, 16, 17], and the enhanced assumed s”
Efficient isogeometric NURBS-based solid-shell elements: Mixed formulation and B-method (2013, unknown): “They include, of course, the use of higher-order interpolation [11], but also consistent field approaches [12], reduced and selective integration techniques [13–15], mixed/hybrid strategies [16–21] as well as assumed strain and B-projection methods [22–26].”
A finite‐strain quadrilateral shell element based on discrete Kirchhoff–Love constraints (2005, background): “In response to the inherent difficulties of treating thin shells, a variety of techniques has been developed over the years, such as reduced integration [9, 10], selective reduced integration [11] and its recent variants [12, 13], projection schemes [5, 14], assumed natural strain methods [15], enha”
The MITC3+shell element and its performance (2014, unknown): “E-mail address: phillseung@kaist.edu (P. S. Lee).”
B-Spline interpolation of Kirchhoff-Love space rods (2013, unknown): “[8] of the Discrete Strain Gap.”
Static and frequency optimization of folded laminated composite plates using an adjusted Differential Evolution algorithm and a smoothed triangular plate element (2015, methodology): “In the CS-DSG3, the original three-node Discrete Shear Gap plate element (DSG3) [31] is softened by a cell-based strain smoothing technique (CS-FEM) [32,33], and hence the accuracy of the solution is improved significantly.”
Analysis of functionally graded plates using an edge-based smoothed finite element method (2011, methodology): “[55] have recently formulated an edge-based smoothed stabilized discrete shear gap element (ES-DSG) for analysis of isotropic Reissner/Mindlin plates by incorporating the ES-FEM with the original DSG element [60].”