摘要
工程材料的失效直接影响装备及其构件的可靠性和安全性,且很难采用传统测量方法对其断裂行为进行准确预测。近场动力学作为一种新兴的积分型非局部连续介质力学理论,在模拟材料断裂失效问题上具有良好效果,但该方法不依赖于预生成的网格构造控制方程,在求解大规模问题时存在计算效率较低等挑战。为此,基于键型近场有限元法引入改进栅格法。针对含有任意裂纹的复杂实体模型,提出了基于改进栅格法的非结构网格划分方法,构建了以正交四边形为主的高质量网格自动划分。采用边界拟合算法实现了高质量实体边界拟合,解决了传统由外向内栅格法的实体边界拟合难题。另外,近场有限元法将键型近场动力学与非结构网格划分相结合,充分发挥近场动力学在表示材料非局部作用效应与非连续变形特征的天然优势,同时保持传统有限元法的节点快速遍历等特点。通过将近场有限元法与改进栅格法相结合,验证了该方法在对有限宽度板、L型板、双缺口板和中心缺口圆盘进行断裂损伤分析的有效性和可靠性。
Material failure has a direct impact on the reliability and safety of the components of engineering equipment.Accurately predicting fracture behavior using traditional measurement techniques is challenging.Peridynamics(PD)is an integral nonlocal continuum mechanics theory that effectively simulates material fracture failure.However,PD does not rely on pre-generated mesh to construct the governing equations.Nevertheless,it suffers from low computational efficiency when solving large-scale problems.This paper presents an improved grid-based mesh generation technique based on bond-based PD finite element method.An improved grid-based mesh generation method is proposed for complex geometries with arbitrary cracks.Additionally,an efficient orthogonal quadrilateral-dominated automatic surface mesh generation scheme is developed.The boundary fitting algorithms are adopted to achieve high-quality entity boundary fitting,which successfully solves the problem of entity boundary fitting of the traditional out-side-in mesh method.In addition,peridynamics-based finite element method combines the advantages of bond-based PD and unstructured mesh generation techniques.This method fully exploits inherent advantages of PD in representing the non-local action effect and discontinuous deformation characteristics of materials,while maintaining the characteristic of fast node traversal of the finite element method.Combined with the improved grid-based mesh generation method,numerical examples have demonstrated the effectiveness and reliability of the peridynamics-based finite element method(PeriFEM)in conducting damage analysis of finite width plates,L-shaped plates,double-notched plates and centrally notched disks.
作者
张宪成
池宝涛
于先泽
郭前建
袁伟
张耀明
ZHANG Xian-cheng;CHI Bao-tao;YU Xian-ze;GUO Qian-jian;YUAN Wei;ZHANG Yao-ming(School of Mechanical Engineering,Shandong University of Technology,Zibo,Shandong 255000,China;Taihua Intelligent Industry Group Postdoctoral Research Institute,Jinan,Shandong 250013,China;Joint Laboratory of Intelligent Equipment for Nuclear Engineering of CNNC and SDUT,Zibo,Shandong 255000,China;School of Mathematics and Statistics,Shandong University of Technology,Zibo,Shandong 255000,China)
出处
《岩土力学》
北大核心
2025年第S1期467-476,490,共11页
Rock and Soil Mechanics
基金
国家自然科学基金(No.12202251,No.12172201)
山东省自然科学基金(No.ZR2024QE073,No.ZR2022ME122)
山东省科技型中小型企业创新能力提升工程(No.2024TSGC0858)
山东省青创团队项目(No.2024KJH026)
泰山产业领军人才工程
关键词
近场有限元法
断裂损伤
改进栅格法
非结构网格划分
peridynamics-based finite element method(PeriFEM)
fracture damage
improved grid-based method
unstructured mesh generation
