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将 Ｂｉｓｈｏｐ－Ｈｉｌｌ最大功原理拓展于 ｆｃｃ金属｛１１１｝｛１１０｝滑移和｛１１１｝（１１２）孪生两种机制同时起作用的平面共生变形研究了不同临界剪切应力（ＣＲＳＳ）之比ε对各理想取向的屈服应力状态及相应活化系的影响．分析结果表明，当ε＞１／３（１／２）时，Ｃ，Ｇ和Ｒｃｕ ３种取向共同的活化系均为滑移系，不易孪生；其它５种取向共同的活化系均包括滑移系和孪生系，有孪生倾向．同时分析了取向空间里屈服强度各向异性及 Ｔａｙｌｏｒ因子 Ｍ的变化规律，发现当引入孪生机制时，随着ε的减小，与仅发生滑移变形的情况相比，其屈服强度各向异性越来越小；最强和最弱的Ｍ值同时也变得越来越小，但最大值变化幅度大于最小值。且最强Ｍ值的取向位置没有改变，均位于ＲＧ取向处．
The maximum work principle of Bishop-Hill is extended to the plane symbiosis deformation in which fcc metal {111} {110} slip and {111} (112) twins act together. The ratio of different critical shear stress The yield stress state of each ideal orientation and the influence of the corresponding activation system. The results show that when ∈> 1/3 (1/2), the common activation systems of C, G and Rcu orientations are all slip systems, which are not easy to be twinned. The common activation systems of the other five orientations include slip Department and twins, have twin tendencies. At the same time, the variation of yield strength anisotropy and Taylor factor M in orientation space were analyzed. It was found that when the twin mechanism was introduced, with the decrease of ε, compared with the case of slip deformation, the yield strength anisotropy Smaller and smaller; the strongest and weakest M values also become smaller and smaller, but the maximum value changes more than the minimum value. And the strongest M value orientation position has not changed, are located at RG orientation.