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浙江大学学报(工学版)
浙江大学学报(工学版)
土木工程     
基于T5单元的体积不可压缩问题光滑有限元法
王思照1,2, 张仪萍1
1.浙江大学 建筑工程学院,浙江 杭州 310058; 2.浙江省水利水电勘测设计院，浙江 杭州 310002
Nearly incompressible linear elasticity using five node tetrahedral element based on smoothed finite element method
WANG Si zhao1，2, ZHANG Yi ping1
1. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China; 2. Zhejiang Design Institute of Water Conservancy and Hydroelectric Power, Hangzhou 310002, China
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摘要：

提出5节点的四面体单元(T5),将无网格法的面积权重应变光滑法和光滑有限元法应用于该5节点四面体单元,提出用于解决三维体积不可压缩线弹性体的算法：基于节点光滑域的选择性体积权重应变光滑模型(T5-pNVW/NVW).数值算例显示,四节点四面体单元采用基于节点的光滑有限元法(T4-NS)无法完美解决体积锁定,相比于T4-NS法,利用提出的T5-pNVW/NVW模型能够较精确地解决体积锁定问题,并完美解决应力的棋盘式波动.
Abstract:

A new five node tetrahedral element (T5) was proposed. The area weighted strain smoothing technique and the smoothed finite element method were introduced into T5 element. A volumetric locking free scheme for three dimensional tetrahedral meshes was proposed, which is the node based selective domain based strain smoothing scheme (T5-pNVW/NVW). The benchmark numerical examples show that the proposed method can solve the volumetric locking and the pressure oscillation compared to the node based smoothed FEM using the four node tetrahedral element (T4-NS).
出版日期: 2015-10-29
:  TB 115  
基金资助:

浙江省科技创新团队资助项目（2010R50037）.
通讯作者: 张仪萍，男，教授.ORCID: 0000 0001 8537 8181.     E-mail: zhangyiping@zju.edu.cn
作者简介: 王思照（1989—），男，硕士生，从事软土地基处理及有限元数值计算等的研究. ORCID: 0000 0003 3091 026X. E-mail: 21212076@zju.edu.cn
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王思照, 张仪萍. 基于T5单元的体积不可压缩问题光滑有限元法[J]. 浙江大学学报(工学版), 10.3785/j.issn.1008 973X.2015.10.020.

WANG Si zhao, ZHANG Yi ping. Nearly incompressible linear elasticity using five node tetrahedral element based on smoothed finite element method. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 10.3785/j.issn.1008 973X.2015.10.020.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008 973X.2015.10.020    或    http://www.zjujournals.com/eng/CN/Y2015/V49/I10/1967

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