三维摩擦接触问题的一种混合不动点算法

Mixed fixed point method for three d imensional frictional contact problems

利用非光滑方程组理论与不动点算法相结合给出了三维摩擦接触问题的一种混合不动点算法,克服了在接触面上由于可能的滑动状态有无穷多个因而难以确定的难点. 该法未引入任何人工变量,且简单易行,计算量小；数值结果也表明了算法的有效性.

A mixed fixed point method is proposed based on the non-smooth equations and the fixed point method. The method overcomes the crux of determining the slipping angle at the contact nodes, which is caused by the fact that the relative slippi ng may occur in any directions. This method is easy to implement without introdu cing any external variables. The numerical results indicate that this method is efficient and can save the computation quantity.