固结问题有限元法时步自适应研究

关于提高有限元法解的精度和稳定性问题已受到不少学者的重视。基于Biot固结理论，为提高有限元法计算的精度和稳定性，研究了固结过程中的时步自适应。采用基本原理推导出时步控制公式，从而全面控制应力和孔隙压力场。研究结果有助于准确模拟应力应变的发展，对粘土心墙土石坝等建筑物的设计及施工有重要意义。

Study on adaptive time step of consolidation problems by finite element method

The accuracy and stabilility of a problem solved by finite element method is concerned and taken into account by many researchers. In order to improve the numerical accuracy and stabilility, based on Biot’s consolidation theory the adapted time step algorithm is introduced for solving consolidation problems. The method is to estimate local and global erros of stress state and pore pressure. By the link between errors and time step length the time step adaptivity strategy has been proposed. This study can provide well understanding of development of the relation between stress and strain by time. Furthermore the study will be very useful for the design and construction of dams with earth core wall.