藉由歸納師門早期提出的複合楔形板、裂縫及壓痕等問題的解析解，大部分裂縫問題與部分壓痕問題為複合楔形板之特例。即，在幾種普遍的邊界條件下，我們能以複合楔形板的近場基本解來模擬裂縫尖端與壓痕邊界的應力奇異性；並利用新的應力強度因子定義式結合上述複合楔形板之基本解，就能提供更為方便的分析途徑。只要問題符合複合楔形板對應之邊界條件，並提供該問題負載下的應力強度因子，便能以複合楔形板之近場解提供準確且可靠的位移與應力分布。
本文將利用ANSYS模擬均質裂縫、界面裂縫問題，以ANSYS的模擬結果藉由路徑獨立的H積分得到該模擬之應力強度因子，並用上述方法得到近場基本解，再與ANSYS本身之近場結果做比較。

In this study, we discuss the approach of analyzing singularity by using multi-wedge. By summarizing the singular order and boundary condition of crack and indentation problems, we can find that most of them are special cases of multi-wedge problem. That is, we can use a multi-wedge to simulate the singularity of most problems by applying proper boundary condition. The analytical solution of multi-wedge used in this paper is based on the Stroh formalism and written as program AEPH by our research group. To show the possibility of this method, the results of examples are compared with those of commercial finite element software ANSYS.

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