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New rectangular plate elements based on twist-Kirchhoff theory
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DOI：10.1016/j.cma.2011.04.012.png)
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Abstract
En 中文
We introduce a new framework for the development of thin plate finite elements, the twist-Kirchhoff theory. A family of rectangular plate elements is derived that takes advantage of the special structure of this new theory. Particular attention is focused on the lowest-order member of the family, an eight degree-of-freedom, four-node element with mid-side rotations whose stiffness matrix is exactly computed with one-point Gaussian quadrature. We prove a convergence theorem for it and various error estimates. These are also generalized to the higher-order elements in the family. Numerical tests corroborate the theoretical results. (C) 2011 Elsevier B.V. All rights reserved.
Keywords:
Plates
Finite elements
One-point quadrature
Twist-Kirchhoff theory
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