本論文主要發展邊界單元互疊法分析二維熱破裂問題，且對於多裂縫有限板內裂縫彼此間的影響效應，本文亦發展比以往經濟準確的方法來處理。因為網眼的設計與裂縫的數目，長度、方向、位置無關，所以分析問題時僅需要一個簡單的邊界單元網眼。經數個例子之解得，證實了本方法的高度經濟性及準確性，特別是針對多裂縫問題更是如此，即使與有限單元互疊法比較亦較經濟、準確。

The boundary element alternating technique which combines the admantages of boundary element method and Schwarz's alternating technique is established to analyze the term-perature field for a finite plate with single or multiple insulated cracks. By this method an efficient techqique for treating the interaction effects among multiple cracks is developed. Since the boundary element mesh adopted is independent of the number, lengh location, and orientation of the existing cracks. only a very simple boundary element mesh is needed in analyzing the problems. The economic computer cost is observed even as compared with the finite element alternating method. Several examples are solved to demonstrate the high efficiency and accuracy of this method.