比例边界有限元理论基础及其研究进展分析  

Analysis on the theoretical basis and research progress of scaled boundary finite element method

作　　者：刘冰 刘一鸣 LIU Bing;LIU Yi-ming(College of Civil Engineering,Wanjiang University of Technology,Maanshan 243031,Anhui,China;Anhui Vocational College of Grain Engineering,Hefei 230000,Anhui,China)

机构地区：[1]皖江工学院土木工程学院,安徽马鞍山243031 [2]安徽粮食工程职业学院,安徽合肥230000

出　　处：《宝鸡文理学院学报（自然科学版）》2019年第3期61-64,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：河海大学文天学院重点项目(WT17004ZD)

摘　　要：目的研究比例边界有限元(Scaled Boundary Finite Element Method,SBFEM)的理论基础、应用特点及研究进展。方法通过坐标变化、公式推导等阐述其理论基础。结果与结论在处理应力奇异性和无限域的问题上,SBFEM相比较于传统的有限元方法具有很强的优势,是一种具有学术价值和应用前景的新型数值算法。Purposes—To study the theoretical basis,application characteristics and research progress of scaled boundary finite element method(SBFEM).Methods—The theoretical basis of SBFEM is expounded through coordinate change and formula derivation.Result and Conclusion—Compared with traditional finite element method(FEM),SBFEM is particularly advantageous in situation involving stress singularity and unbounded domains,and it is a new numerical algorithm with academic value and application prospect.

关 键 词：比例边界有限元 有限元 应力奇异性 无限域 

分 类 号：TU13[建筑科学—建筑理论]