双材料界面裂纹小范围屈服边界元分析

Boundary element analysis of small scale yielding of bimaterial interface crack

为适于界面断裂问题的分析，完善并发展了基于小变形弹塑性理论的弹塑性边界元子域法。根据双材料界面裂纹小范围屈服分析的一般性结论，对双材料界面裂纹小范围屈服问题作了计算。针对断裂理论的边界层模型，计算了小范围屈服场的全场解。结果表明，对界面裂纹小范围屈服分析，能够发挥边界元法的优势，利用较少的单元数即可深入到塑性区内部较深范围，以得到裂尖附近的应力场以及比较准确的塑性区形状和尺寸。

An elastoplastic boundary element subregion method is proposed and improved by the authors to use in fracture problems. According to the common conclusions of the small scale yielding problem of bimaterial interface crack, the full field solutions under the small scale yielding condition are solved with boundary layer formulation by usage of this method. The results prove that the elastoplastic boundary element subregion method is feasible for such kind of problems. The stress field near crack tip and the plastic zone can be obtained by using fewer boundary elements and interior cells to go deep into the plastic zone of crack tip.