有限元混合法求解几种特殊弹性接触问题时的处理方法

THE METHOD OF SOLVING THE SPECIAL ELASTIC CONTACT PROBLEMS BY MIXED FINITE ELEMENT METHOD

用弹性接触有限元混合法求解弹性接触问题时，对有些特殊的接触情况会导致有限元方程组病态，从而使接触求解失败。对此作了分析讨论，找出了接触求解失败的原因，并提出了相应的处理方法，该法根据接触情况，适当修正相应的病态矩阵，从而使特殊的接触问题有解。

In solving some special contact problems by elastic contact mixed finite element method,it is found that the finite element equations are ill-conditioned and therefore have no solu-tion, In the paper,it is analyzed,the reasons are given and the corresponding solvingmethod is proposed.By means of the method,the illconditioned matrix is corrected andvery good results of the special contact problems are obtair,ed according to contact condi-tions.