基于四面体单元的三维裂纹自动化建模

Fully Automated Three-dimensional Crack Modelling Using Tetrahedral Finite Element

三维裂纹前缘布置结构化网格是一项耗时且困难的工作。以二次四面体单元虚拟裂纹闭合法(VCCM)为基础,提出基于几何特征的三维裂纹建模方法,阐述应用四面体单元在ABAQUS上进行三维裂纹建模的实现细节;应用Python编程语言结合NumPy和SciPy开源科学计算库开发参数化三维裂纹分析程序包,实现三维裂纹问题分析的全流程自动化;数值算例和文献中的结果吻合很好,表明本文建模方法是准确且可靠的,全模型采用常规四面体单元,提高了三维裂纹自动化建模的稳定性和鲁棒性。

Producing structured mesh at the immediate vicinity of the crack front for three-dimensional(3D)crack modelling is a very time consuming and difficult task.A geometry feature based method for 3D crack modelling based on virtual crack closure-integral method(VCCM)for the tetrahedral finite element is proposed,and the implementation details of employing tetrahedral finite elements for 3D crack modelling on the basis of ABAQUS are described.On this basis,a 3D crack analysis package is developed by applying the Python programming language combined with NumPy and SciPy to automate the whole process of crack problem analysis.The stability and robustness of the 3D crack automated modelling is improved by employing tetrahedral finite element.The numerical examples are in good agreement with the results in the literature,proving the accuracy and reliability of the modelling method.