土体三维弹塑性分析中的体积闭锁分析及单元选择

VOLUMETRIC LOCKING ANALYSIS AND ELEMENT CHOICE IN 3D ELASTOPLASTIC ANALYSIS OF SOIL

  • 摘要: 在材料不可压缩或胀/缩塑性流动情况下,传统低阶单元有体积闭锁问题。以摩尔-库仑模型为例,推导了塑性剪切应变和塑性体积应变的关系,揭示闭锁产生的原因。分析8节点等参元、Wilson非协调元、EAS单元和14节点单元的闭锁性态,表明8节点单元有严重闭锁性,Wilson非协调元也有闭锁性,EAS单元和采用降阶积分的14节点单元能克服闭锁。单元测试和方形基础的承载力计算两个数值算例证实了分析的结果,为土体三维分析中选择有效可靠的单元提供依据。

     

    Abstract: Traditional low-order elements may suffer the problem of volumetric locking in the analysis of soil under the condition of volume-preserving or dilatant/contractant plastic flow. Taking a Mohr-Coulomb type of soil as example, the relationship between plastic shear strain and plastic volumetric strain is deduced, and the reason behind volumetric locking is revealed. Several types of elements are examined. It is shown that the eight-noded brick element is of serious volumetric locking and Wilson's incompatible element has also the same problem, while the enhanced assumed strain (EAS) element and the fourteen-noded block element adopting reduced integration can overcome volumetric locking. Numerical examples of element tests and bearing capacity calculation of a square footing confirm the claim. Suggestions are given for choosing effective and reliable elements.

     

/

返回文章
返回