船用脆性材料断裂的近场动力学与有限元耦合模型  

Peridynamics and FEM coupling model for fracture of marine brittle materials

作　　者：李双 吕海宁[1,2] 黄小华[3] 毛竞航[1,2] 秦睿 LI Shuang;LU Hai-ning;HUANG Xiao-hua;MAO Jing-hang;QIN Rui(State Key Laboratory of Ocean Engineering,Shanghai Jiao Tong University,Shanghai 200240,China;Yazhou Bay Institute of Deepsea SCI-TECH,Shanghai Jiao Tong University,Sanya 572000,China;Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education,Guangxi University,Nanning 530004,China)

机构地区：[1]上海交通大学海洋工程国家重点实验室,上海200240 [2]上海交通大学三亚崖州湾深海科技研究院,海南三亚572000 [3]广西大学防灾与结构安全教育部重点实验室,南宁530004

出　　处：《船舶力学》2024年第10期1588-1598,共11页Journal of Ship Mechanics

基　　金：海南省科技计划三亚崖州湾科技城联合项目(2021JJLH0020);国家自然科学基金资助项目(51979159)。

摘　　要：船舶结构和构件在建造过程中,不可避免地会使用各类具有脆性特性的高强材料。为了研究船用脆性材料的断裂和裂纹扩展行为,本文基于新兴的近场动力学方法,提出一种有限元与近场动力学的耦合模型。首先,在近场动力学的基础上考虑长程力衰减效应修正;其次,采用共享节点耦合法将有限元与改进的近场动力学进行耦合,并推导出一种新的断裂准则。最后,通过三个变形和破坏实例验证耦合模型的准确性。结果表明,耦合模型极大提高了传统近场动力学模型的计算精度,消除了近场动力学的“边界效应”,同时也克服了有限元在处理非连续时面临的奇异性问题。耦合模型的计算结果与试验结果吻合较好,其用于研究船用脆性材料的断裂问题是可行的。It is inevitable to use various high-strength materials with brittle characteristics in the construction of ship structures.In order to study the fracture and crack propagation behavior of marine brittle materials,a coupling model of FEM and peridynamics was proposed based on the peridynamic theory.Firstly,the long-range force attenuation effect correction was considered on the basis of peridynamics.Then,the sharing node method was used to couple the FEM with the improved peridynamics,and a new fracture criterion was derived.Finally,the accuracy of the coupling model was verified by three examples.The results show that the coupling model improves the computational accuracy of the traditional peridynamic model greatly,and eliminates the“surface effect”,and it overcomes the FEM singularity when dealing with discontinuities.The calculation results of the coupling model are in good agreement with the experimental results,and the present model is feasible to study the fracture of marine brittle materials.

关 键 词：近场动力学 有限元 脆性材料 断裂 裂纹扩展 

分 类 号：U661.4[交通运输工程—船舶及航道工程]