A SOLID-SHELL ELEMENT OF PARTITION OF UNITY-BASED GENERALIZED FEM

The approximate space of partition of unity based finite element method was composed of the partition of unity function and local cover function. The shape function of traditional finite element method was used as the partition of unity and a mesh independent local cover function was constructed. Based on the partition unity of traditional sixteen-node hexahedron isoparametric element shape function and local cover function of the first order polynomial, a generalized sixteen-node hexahedron element is developed. By utilizing the potential of construction anisotropic approximate space of generalized finite element method, a generalized solid-thin shell element is devised. Based on the anisotropic deformation characteristic of thin shell, first and zeroth order polynomial local cover function are applied to capture normal and tangent displacement respectively. Examples show that the generalized sixteen-node hexahedron element and the generalized solid-thin shell element perform better than traditional element in terms of convergence and efficiency and the generalized solid-thin shell element is more efficient than the generalized sixteen-node hexahedron element.