Abstract: Based on the mathematical features of many shear strain curves across ductile shear zones, the expressions of the functions of shear strain γ(x) and distortion distance s(x) were given. They have not been theorically verified, but a lot of facts, some of which are presented in this paper, would prove them true. In this sense they are exponential formulae, which may play an important role in studies of deformation on ductile shear zones.

Key words: Shear zone, Shear strain function, Distortion distance function

摘要： 通过对大量横穿简单剪切的韧性剪切带剪应变曲线数学特征的分析研究,提出剪切带剪应变函数γ(x)和扭距函数s(x)的数学表达式。γ(x)的数学表达式不是从理论上推导出来的,但横穿剪切带各点实测剪应变值都能满足或近似满足γ(x)的表达式。剪应变函数γ(x)和扭距函数s(x)表达式的确定对研究剪切带的变形有重要意义。

关键词: 剪切带, 剪应变函数, 扭距函数