| 摘要: |
| 对于不可压缩或近似不可压缩问题的求解通常需采用不等插值的混合位移-压力（u-p）单元以满足Babuska－Brezzi稳定条件或Zienkiewicz－Tayfor分片试验要求。本文提出的稳定化的等插值u-p有限元解法使得采用等插值法成为可能。本文绘出了一个简单算例以验证该方法的正确性。另外给出了一个应用算例，用本文方法结合自适应网格剖分采用简单的线性三角形单元求解不排水土坡的极限荷载，其结果与理论解的误差小于5％。 |
| 关键词: 不可压缩,稳定,等插值 |
| DOI： |
| 分类号:O241 |
| 基金项目: |
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| Stabilized equal interpolatiou u-p FEM for incompressible plastic problems |
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Liu Xiaoqing, Li Tongchun, Xia Songyou
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| Abstract: |
| Unequal interpolation mixed displacement - pressure (u - p) elements are usually required to meet the Babuska - Brezzi stability conditions or Ziendiewicz - Taylor patch test. The stabilized u - p FEM presented in this paper make it possible to use equal interpolation u - p elements. A simp1e example is given to verify the methodology. As an application example, the simple linear triangle elements with equal interpolation for u and p are used to obtain the limit load of undrained soil slope by using the stabilized u - pFEM and adaptive remeshing. |
| Key words: incompressible, stability, equal interpolation |
