本文主要利用微分再生核近似法(Differential Reproducing Kernel Approximation Method, DRKM) 以及在位移函數中加入之應力奇異性項次，計算二維含裂縫平板之位移及應力場，並利用應力奇異性項次計算裂縫尖端之應力強度因子。文中，說明在所有點離散點加入應力奇異性項次只能適用於邊緣或是單一裂縫；所以若只在裂縫尖端點附近之離散點加入應力奇異性項次，並利用連續條件與未加入奇異性項次的離散點做一連接，此方法可以適用於邊緣、中央或是兩個以上之裂縫。
　　在數值算例中，求解不同裂縫情形，包括邊緣水平裂縫、邊緣傾斜裂縫、中央水平裂縫、中央傾斜裂縫以及邊緣雙裂縫等問題，並說明如何佈點才能求得較佳精度之應力強度因子。

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