CLC number: TU431
On-line Access: 2021-11-17
Received: 2021-05-11
Revision Accepted: 2021-06-20
Crosschecked: 2021-10-25
Cited: 0
Clicked: 4353
Citations: Bibtex RefMan EndNote GB/T7714
Wei-hai Yuan, Hao-cheng Wang, Kang Liu, Wei Zhang, Ding Wang, Yuan Wang. Analysis of large deformation geotechnical problems using implicit generalized interpolation material point method[J]. Journal of Zhejiang University Science A,in press.Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/jzus.A2100219 @article{title="Analysis of large deformation geotechnical problems using implicit generalized interpolation material point method", %0 Journal Article TY - JOUR
基于隐式广义插值物质点法的岩土工程大变形分析创新点:首次提出在隐式广义插值物质点法中引入B-bar函数,以克服广义插值物质点法在模拟不可压缩材料时出现的体积锁定问题. 方法:1. 通过替换应变矩阵,构建使用B-bar方法的隐式广义插值物质点法,使其在不明显增加计算复杂程度的情况下,克服体积锁定的问题.2. 分别使用隐式物质点法(iMPM)、隐式广义插值物质点法(iGIMP)和使用B-bar方法的隐式广义插值物质点法对一维杆压缩、弹塑性边坡和刚性基础贯入进行数值模拟和对比研究,验证所提方法在减少网格穿透以及克服体积锁定方面的优势. 结论:1. 本文首次将B-bar方法引入隐式广义插值物质点算法,构造了使用B-bar方法的隐式广义插值物质点法;该方法能够有效减少网格穿透造成的计算误差并克服体积锁定问题,同时不需明显增加计算复杂程度.2. 分别使用iMPM算法与iGIMP算法对一维杆压缩以及弹塑性边坡稳定性进行模拟和对比的结果表明,iGIMP算法能有效减小网格穿透所造成的震荡.3. 对边坡稳定性问题以及刚性基础贯入问题进行数值模拟的结果表明,使用B-bar方法的隐式广义插值物质点法能有效处理体积锁定问题,因此可用于实际岩土工程的大变形分析. 关键词组: Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article
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