论文标题
使用有限元方法进行自适应偶联植物最小二乘最小化的最小化方法用于裂缝分析
Adaptive coupling peridynamic least-square minimization with finite element method for fracture analysis
论文作者
论文摘要
这项研究提出了一种自适应耦合，使用有限元方法（PDLSM-FEM）进行断裂分析的自适应耦合最小二乘最小化。提出的方法利用了PDLSM建模不连续性，同时最大程度地提高了FEM区域的计算效率。在提出的自适应PDLSM-FEM中，只有与裂纹路径及其相邻元素相交的元素被定义为PD元素，其刚度矩阵是基于PDLSM方程得出的。其余元素是常规的有限元素。提出并实施相互作用积分的数值整合，以评估2D问题的应力强度因子（SIF）。用于故障预测，采用了最大箍拉伸应力的标准。这项工作的新贡献包括PDLSM与FEM的自适应耦合，以最大程度地减少PD区域以及适应性PDLSM-FEM在准静态裂纹繁殖分析中的应用。进行了三个2-D平面应力板和一个具有静态或准静态裂纹传播的3-D块。结果表明，所提出的方法可提高计算效率，并具有合理的准确性和良好的裂纹传播预测能力。
This study presents an adaptive coupling peridynamic least-square minimization with the finite element method (PDLSM-FEM) for fracture analysis. The presented method utilizes the PDLSM modeling discontinuities while maximizing the FEM region for computational efficiency. Within the presented adaptive PDLSM-FEM, only elements intersecting with the crack path and their neighboring elements are defined as PD elements, whose stiffness matrices are derived based on PDLSM equations. The remaining elements are conventional finite elements. Numerical integration of interaction integral is proposed and implemented to evaluate the stress intensity factors (SIFs) for 2-D problems. The criterion of maximum hoop tensile stress is employed for failure prediction. New contributions of this work include the adaptive coupling of PDLSM with FEM for minimizing the PD region and the application of the adaptive PDLSM-FEM to quasi-static crack propagation analysis. Simulations of three 2-D plane stress plates and one 3-D block with static or quasi-static cracks propagation are performed. Results show the proposed method improves computational efficiency substantially and has reasonable accuracy and good capability of crack propagation prediction.
