本文主要以最佳化理論找出含孔洞之正交性平板在承受負載狀況下的孔洞最佳形態，由於平板中含有孔洞會形成應力集中現象，隨著孔洞的幾何外形、平板材料、及負載情況的不同，所形成的應力集中現象也會改變，故在最佳化過程中以應力集中因子為目標函數，孔洞之形狀參數為設計變數，孔洞面積保持固定為主要限制條件。有別於過去的文獻中，大都分析單一種孔洞形態承受負載後的情況，本文所找出承受負載後的最佳孔洞形態可提供工程應用上做參考。

One of the most important problems in the design of plate structures is to determine and minimize the stress concentration due to the presence of holes and other discontinuities. There is a great deal of information on this classical problem. Because the stress concentration is of more concern, this paper tries to find optimal shapes of holes in infinity plates under uniaxial and biaxial loading conditions. The optimal shape offers the lowest possible stress concentration , whose hole area keeps constant.

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