大变形体积不变时横向变形系数变化规律研究

Study of variational law of lateral contraction ratio for condition of large deformation constant volume

以实验结果为基础，根据体积不变条件的一般表达式，研究了横向变形系数随主伸长度Ｅｉ改变时的变化规律．研究结果表明：当保留体积不变一般表达式中三个主伸长度的所有项次时，Ｅ１超出一定范围后，横向变形系数等于０．５的结论不具普遍性；一般说来，它将是变形状态及Ｅ１的非线性函数．

? The variational law of lateral contraction ratio versus principal extensibility for the condition of constant volume, when the deformation state and the first principal extensibility E 1 are changed, is studied based on the experimental results. The research results show that the conclusion of μ=0.5 is not always true if all terms of three principal extensibility remain in the expression of the constant volume when E 1 is beyond certain extent. Generally speaking, μ is a nonlinear function of deformation state and E 1 .