On the stability of mixed finite elements in large strain analysis of incompressible solids
Finite Elements in Analysis and Design
Analysis of a bilinear finite element for shallow shells. II: consistency error
Mathematics of Computation
A triangular six-node shell element
Computers and Structures
Measuring the convergence behavior of shell analysis schemes
Computers and Structures
The MITC9 shell element in plate bending: mathematical analysis of a simplified case
Computational Mechanics
An efficient meshfree method for vibration analysis of laminated composite plates
Computational Mechanics
The addition of transverse shear flexibility to triangular thin plate elements
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Reissner-Mindlin Legendre spectral finite elements with mixed reduced quadrature
Finite Elements in Analysis and Design
Improving the MITC3 shell finite element by using the Hellinger-Reissner principle
Computers and Structures
Coupling flat-top partition of unity method and finite element method
Finite Elements in Analysis and Design
3D-shell elements for structures in large strains
Computers and Structures
An enriched 6-node MITC plate element for yield line analysis
Computers and Structures
The MITC3 shell finite element enriched by interpolation covers
Computers and Structures
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The analysis of plates can be achieved using the quadratic MITC plate or MITC shell elements. The plate elements have a strong mathematical basis and have been shown to be optimal in their convergence behavior, theoretically and numerically. The shell elements have not (yet) been analyzed mathematically in depth for their rates of convergence, with the plate/shell thickness varying, but have been shown numerically to perform well. Since the shell elements are general and can be used for linear and nonlinear analyses of plates and shells, it is important to identify the differences in the performance of these elements when compared to the plate elements. We briefly review the quadratic quadrilateral and triangular MITC plate and shell elements and study their performances in linear plate analyses.