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The Intelligent Supersize Finite Element Method
This chapter describes the formulation of the intelligent supersize finite element method (ISFEM) in association with the ultimate limit state analysis using rectangular plate elements. For the sake of convenience in the formulations of the ISFEM rectangular plate element, the nodal displacement vector is divided into three components: the in‐plane component, the out‐of‐plane component, and the component for the rotations about the axis z. The strain versus displacement relationship accounting for out‐of‐plane and in‐plane large deformation effects for the ISFEM rectangular plate element is given in the Cartesian coordinate system. An exact formulation of the transformation matrix for a rectangular plate element is difficult to define. The stiffness matrix components for the rotations with regard to the z axis may normally be set to zero, but this can in some cases produce numerical instability in the computation of the structural stiffness equation.
The Intelligent Supersize Finite Element Method
This chapter describes the formulation of the intelligent supersize finite element method (ISFEM) in association with the ultimate limit state analysis using rectangular plate elements. For the sake of convenience in the formulations of the ISFEM rectangular plate element, the nodal displacement vector is divided into three components: the in‐plane component, the out‐of‐plane component, and the component for the rotations about the axis z. The strain versus displacement relationship accounting for out‐of‐plane and in‐plane large deformation effects for the ISFEM rectangular plate element is given in the Cartesian coordinate system. An exact formulation of the transformation matrix for a rectangular plate element is difficult to define. The stiffness matrix components for the rotations with regard to the z axis may normally be set to zero, but this can in some cases produce numerical instability in the computation of the structural stiffness equation.
The Intelligent Supersize Finite Element Method
Paik, Jeom Kee (author)
2018-03-28
31 pages
Article/Chapter (Book)
Electronic Resource
English
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