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    • 副教授       硕士生导师
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:汽车工程学院
    • 学科:车辆工程. 计算力学. 固体力学
    • 办公地点:大连理工大学综合实验2号楼418B房
    • 联系方式:yangxia@dlut.edu.cn
    • 电子邮箱:yangxia@dlut.edu.cn

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    Order reduction method for locking free isogeometric analysis of Timoshenko beams

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    论文类型:期刊论文

    第一作者:Hu, Ping

    通讯作者:Xia, Y (reprint author), Dalian Univ Technol, Sch Automot Engn, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China.

    合写作者:Hu, Qingyuan,Xia, Yang

    发表时间:2016-08-15

    发表刊物:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

    收录刊物:SCIE、EI、Scopus

    卷号:308

    页面范围:1-22

    ISSN号:0045-7825

    关键字:Isogeometric; Timoshenko beam; Shear locking; Order reduction; Least square approximation; Quasi-conforming

    摘要:The order reduction (OR) method is proposed to provide an effective and efficient locking-free formulation in the isogeometric analysis of plane curved Timoshenko beams. The shear and membrane strains are represented by the reduced order B-spline basis functions, and the locking phenomenon can be prevented. The modified strains are equivalent to the original ones in the sense of the least square approximation. Different order reduction strategies are discussed, and it is suggested to use multiple sets of lower order B-spline basis functions to improve the accuracy. The theoretical analysis of the formulation and the computational cost is carried out to assess the efficiency of the OR method. The performance of the proposed method is tested by the straight beam, curved beams with constant and varied curvatures problems, and compared with other methods such as the selective and reduced integration method, the local discrete shear gap method, and the local (B) over bar method (without strain smoothing). The numerical results show that the proposed method is competitive, which leads to an efficient locking free formulation. (C) 2016 Elsevier B.V. All rights reserved.