3次元弾塑性FEM解析のための複合要素の開発

概要

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To make effective use of the VCAD-based software for the generation of degenerated hexahedral element models (V-DualGrid) and structural analysis of elastoplastic materials(V-Struct) in complicated engineering applications, a class of complex elements which are constructed by using the low-order convex elements(called child elements) such as 4-node tetrahedra and 5-node pyramids generated by the division of concave elements in V-DualGrid is developed and implemented to V-Struct. The basic idea employed in the formulation of the complex elements is to use an extended B-bar method to enforce the near-incompressibility constraint to the level of the complex elements in order to effectively avoid the so-called volumetric locking occurred in their child elements, and eventually to enable the successful use of the child elements in elastoplastic analysis. Two analyses for benchmark test and an analysis using a FE model generated actually by V-DualGrid are given to show the good performance of the new complex elements.