回転自由度を有する四面体要素の破壊力学パラメータ算出法 : 一般化四面体要素用の仮想き裂閉口積分法(<小特集>複合荷重下における疲労および疲労き裂進展挙動の最先端研究(実験的/解析的アプローチ))

概要

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This paper presents a virtual crack closure-integral method (VCCM) for a generalized four-node tetrahedral finite element that has drilling nodal degrees of freedom (DOFs). The generalized tetrahedral finite element has superior accuracy over the liner tetrahedral element. VCCM computes the energy release rate and the stress intensity factor at the crack front. VCCM computes the fracture mechanics parameters accurately only from the nodal reaction forces and displacements. Furthermore, in mixed mode problem, it is easy to split energy release rate into each mode of crack deformation. In this paper, a VCCM formulation for the generalized tetrahedral finite element is developed for the case of mode I crack deformation. The contributions of nodal drilling DOFs on the computation of energy release rate are described in detail. Similar discussions can be extended to mixed mode problems. Finally, some numerical examples are presented and discussions on the accuracy of proposed VCCM are given.
社団法人日本機械学会の論文
2008-06-25