摘要
基于势能互补原理，不引入额外松弛变量，对库仑摩擦定律未做预先线性化近似，提出了三维弹性摩擦接触问题的非线性互补－接触柔度法，收敛性和收敛速率得到了严格理论保证。数值实验结果表明方法可靠、有效、低存储量。
A nonlinear complementarity method with the contact forces as primary unknowns is presented for three dimensional elastic contact problems with coulomb friction, the convergence is guaranteed in theory. None of beforhand lineerazaation approximations on Coulombian friction law is adopted and none of additional variables is introduced, so that the solutions accuratey satisty the nonlinear contact conditions and the storage consumed is tittle. Numerical experiments lend support to the theoretical analysis and suggest that the method is highly efficient, rel able and promissing.
基金
国家自然科学基金
关键词
三维
摩擦接触
非线性互补
接触柔度法
three dimensional frictional contact
nonlinear complementarity
contact flexibility
