Williams级数收敛性与边界配位法计算的可行性

CONVERGENCY OF THE WILLIAMS SERIES AND THE FEASIBILITY OF THE NUMERICAL CALCULATION OF BOUNDARY COLLOCATION

含有边裂纹弹性平板的精确解是在收敛域内的级数表示形式，其表达式与Ｗｉｌｌｉａｍｓ级数表达式完全等同．对于圆形和矩形域模型．研究了其收敛域内外的边界配位法计算问题．结果表明，Ｗｉｌｌｉａｍｓ级数收敛域与裂纹长度有关．

An exact solution of an elastic plate with a crack was studied. The solution is a series expression within the convergent domain. This series is found to be identical to Williams series. The result show that the convergency of Williams series is related to the length of fracture. The calculations of boundary collocation both the circle and rectangular domain models at convergent and divergent domains are researched.