Universal Format of Shape Function for Numerical Analysis using Multiple Element Forms

For mesh discretization of complex engineering structures, it is difficult to solely use hexahedrons. So multiple forms of elements, such as tetrahedron, rectangular pyramid, triangle prism are introduced. A universal format of shape function is put forward according to degeneration relationships between non-hexahedrons and hexahedron. Based on the linear shape function of hexahedral element, shape functions for non-hexahedral elements are presented. Corresponding programming techniques are also put forward, thus greatly facilitating the coding process. An example is given and proves that the proposed method is rational with sufficient accuracy, indicating that it is reliable and efficient.