Double-mesh interpolation method applied to two-phase media of undrained-incompressible limit

作者：Niu Zhi Wei^*; Li Tong Chun; Zhao Lan Hao

来源：Yantu Lixue/rock and Soil Mechanics, 2008, 29(3): 800-804.

• Babuska Brezzi stability condition
• Displacement pressure linear equal interpolation
• Double mesh interpolation method
• Pore fluid
• Soft soil foundation
• Soil skeleton
• U p formulation
• Undrained incompressible limit

Finite element method based on Biot consolidation equation taking into account the interaction between soil skeleton and pore fluid is always used to analyze the consolidation of saturated soft foundation with undrained-incompressible limit. Because of restriction of Babuska-Brezzi inf-sup condition, conventional FEM based on equal interpolation orders u-p formulation will give a spurious oscillation result for pore pressure. Based on displacement-pressure linear equal interpolation, a new method in which the number of the independent degree of freedom of displacement is higher than that of pore pressure, is proposed. With suggested double-mesh interpolation method, the Babuska-Brezzi stability condition will be satisfied; and it is possible to use equal interpolation orders u-p formulation. Several examples are presented to verify the suggested method.

• 出版日期2008
• 单位河海大学