An assessment of four-noded plate finite elements based on a generalized third-order theory. (English) Zbl 0768.73068
Summary: Plate finite elements based on the generalized third-order theory of Reddy and the first-order shear deformation theory are analyzed and compared on the basis of thick and thin plate modelling behaviour, distortion sensitivity, overall accuracy, reliability and efficiency. In particular, several four-noded Reddy-type elements and the nine-noded Lagrangian and heterosis (Mindlin-type) plate elements are analyzed to assess their behaviour in bending, vibration and stability of isotropic and laminated composite plates. A four-noded Reddy-type element is identified which is free of all spurious stiffness and zero energy modes, computationally efficient, and suitable for use in any general-purpose finite element program.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74K20 | Plates |
| 74E30 | Composite and mixture properties |
Keywords:
first-order shear deformation theory; thick and thin plate modelling; distortion sensitivity; nine-noded Lagrangian and heterosis (Mindlin- type) plate elements; isotropic and laminated composite platesReferences:
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