有摩擦弹性接触问题的增量数值解法

 指出应用全量变分法于有摩擦弹性接触问题是不能普遍适用的，提出了这一类问题增量变分法的数值解法和适用于增量法的库伦摩擦力的正则条件。对可转变的边界条件限于较简单的有限个离散点的情况，可采用状态试凑法来确定可变约束条件的状态。数值计算结果表明了本文提出的增量方法的正确性。

AN INCREMENTAL METHOD FOR ELASTIC CONTACT PROBLEMS WITH FRICTION

An incremental method for contact problems, which are boundary value problems with variable constraints,is presented within the field of linear elasticity with small displacements. It is clarified that in some published papers it is not generally applicable to utilize the total amount variational method to solve the contact problems with friction. Instead, a numerical solution method derived from incremental variational principle is given with the corresponding normal condition of coulomb′s friction. Variable boundary conditions involved in the examples are relatively simple, which include only several discrete points, so the hit and miss method may be used to define the actual state of constraints. The numerical results show the satisfactory accuracy of the algorithm.