升程阶跃函数
四边形的
扩展有限元法
有限元法
刚度矩阵
数学分析
基质(化学分析)
功能(生物学)
数学
强度因子
节点(物理)
结构工程
几何学
工程类
材料科学
生物
复合材料
进化生物学
作者
Toshio Nagashima,Chenyu Wang
标识
DOI:10.1142/s0219876221500638
摘要
In the framework of the extended finite element method, a two-dimensional four-node quadrilateral element enriched with only the Heaviside step function is formulated for stationary and propagating crack analyses. In the proposed method, two types of signed distance functions are used to implicitly express crack geometry, and finite elements, which interact with the crack, are appropriately partitioned according to the level set values and are then integrated numerically for derivation of the stiffness matrix and internal force vectors. The proposed method was verified by evaluating stress intensity factors, performing crack propagation analyses and comparing the obtained results with reference solutions.
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