含圓球微孔之不可壓縮材料受三軸拉力的力學問題，過去三十年，相關的研究不少，特別是John Ball在1982年發表的文章，另Hou和Abeyaratne在1992年發表的文章，由於問題不再具有圓對稱性，其求解析解之挑戰度極大， Hou和Abeyaratne提出近似解尊稱為Hou-Abeyaratne Field(簡稱HAF)。 本文推導出目前較少被推廣的橢球微孔之不對稱變形，利用HAF導入本文方法重新推導，再利用虛功原理推導出對應矩陣式，並繪出所得不同橢球微孔之破壞包絡線，並分析及探討其結果。 ;In last three decades, there are so many realated researchs about the mechanics problem of the incompressible material containing microporosity subjected to triaxial loading.Especially, the research published by John Ball in 1982 and the research published by Hou and Abeyaratne in 1992.It become a great challenge to obtain the analytical solution due to the problem possess no longer circular symmetry. Hou and Abeyaratne propose that the approximate solution is called Hou-Abeyaratne Field. The theme derivate the asymmetrical deformation of the ellipsoidal micro-void by importing the HAF, and use the principle of virtual work to derivate the corresponding matrix and draw the failure envelope of different ellipsoidal micro-void, and discuss the result.
