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• W4379622052 abstract "In finite element method (FEM), the volume-coordinate system (VCS) plays a very important role. To date, the number of coordinate components of all VCSs equals the number of faces of polyhedral elements (e.g. 4-component tetrahedral VCS or 6-component hexahedral VCS). To break the current situation, a 3-component VCS is established systematically based on hexahedron. The definition of the new 3-component VCS is still suitable for these degenerated solids from hexahedron, including tetrahedron and several 5-surface solids. In the proposed VCS, the number of coordinate components is unrelated to the number of faces of polyhedron. It is the very first shape-independent VCS in the history of FEM. The new 3-component VCS has both the superiorities of the local natural coordinate system and the simplicities of the Cartesian coordinate system. Based on the presented 3-component VCS, we construct a new incompatible eight-node hexahedral element, which is characterized by the high accuracy and the insensitivity to mesh distortion. This adequately demonstrates that the proposed 3-component VCS is a powerful tool for developing high-performance elements." @default.
• W4379622052 created "2023-06-08" @default.
• W4379622052 creator A5068230441 @default.
• W4379622052 date "2023-08-01" @default.
• W4379622052 modified "2023-09-26" @default.
• W4379622052 title "Three-component volume coordinate system for constructing high performance elements" @default.
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• W4379622052 doi "https://doi.org/10.1016/j.camwa.2023.05.021" @default.
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