摘要
接触非线性主要表现在其接触状态的突变而导致的非光滑性,这种非光滑性可以通过约束函数进行光滑逼近,进而可以用Newton法得到近似解,此方法称之为约束函数法。岩土工程中常用的Goodman单元就是一种类型的接触模型,但其参数的确定及计算的收敛性都存在着一定的困难。然而把约束函数应用到常规的Goodman单元中则可以解决上述困难,在详细地给出了其有限元法后,给出了处理刚体位移的一种简便方法。作为算例,给出了叠梁和三峡3#坝段坝基稳定性的计算结果。
The no-smoothness resulting from changes of contact state is the main reason of nonlinearity in contact analysis; but this no-smoothness can be approximated by constraint function; and then Newton method or Newton-like methods can be used to acquire its approximate solution. The conventional Goodman element is the most frequently used model in the numerical simulation of structural planes; but there are some difficulties in parameter determination and computing convergence. By constraint function method, the conventional problems in Goodman element can be solved easily. The detailed format of its finite element method is given; and then a simple method dealing with rigid displacement is also given. Finally, combined beams and dam foundation #3 of the Three Georges Project are comouted as examoles.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2006年第6期955-960,共6页
Rock and Soil Mechanics
基金
国家自然科学基金973课题(No.2002CB412708)
中科院武汉岩土力学研究所领域前沿基金(No.Q110214)共同资助
关键词
接触问题
约束函数法
有限元法
Goodman单元
刚体位移
contact problem
constraint function method
finite element method
Goodman element
rigid displacement
