计算力学学报2018，Vol.35Issue(3)：275-282,8.DOI:10.7511/jslx20170412002
裂纹问题的一致性高阶无网格法
Consistent high order meshfree method for crack problems
摘要
Abstract
The consistent high order meshfree method developed in recent years is able to accurately and efficiently solve continuum problems.Especially,it can obtain very accurate stress fields.This work extends this method to crack problems(i.e.discontinuous problems)in which the accuracy of stress solutions is crucial.Background integration mesh is used to describe cracks geometrically.The description of the discontinuity in displacement at cracks is based on the phantom node method which does not need additional nodal degrees of freedom.The algorithm to introduce the phantom nodes and the method to evaluate the domain integral in cracked element are proposed.To further simulate crack propagation,the interaction integral method is used to compute stress intensity factors and the direction of crack propagation is given by the maximum circumferential stress criterion.Numerical results show that the developed method is able to exactly pass the discontinuous patch test.Compared with the standard high order meshfree method and the low order consistent meshfree method,the proposed consistent high order meshfree method remarkably improves the computational accuracy of stress intensity factors.Its ability to accurately predict crack paths is also demonstrated by numerical results.关键词
裂纹/无网格/断裂/扩展有限元法/高阶近似Key words
crack/meshfree/fracture/extended finite element method/high order approximation分类
数理科学引用本文复制引用
高欣,段庆林,李书卉,陈飙松..裂纹问题的一致性高阶无网格法[J].计算力学学报,2018,35(3):275-282,8.基金项目
科学挑战专题(JCKY2016212A502) （JCKY2016212A502）
国家重点研发计划重点专项(2016YFC1402705,2016YFC1402706) （2016YFC1402705,2016YFC1402706）
国家自然科学基金(11232003,11372066) （11232003,11372066）
中央高校基本科研业务费专项资金(DUT15LK07) （DUT15LK07）
水资源与水电工程科学国家重点实验室开放基金(2015SGG03) （2015SGG03）
地质灾害防治与地质环境保护国家重点实验室开放基金(SKLGP2016K007)资助项目. （SKLGP2016K007）
