橡胶中简单剪切与纯剪切的关系

THE RELATION BETWEEN SIMPLE SHEAR AND PURE SHEAR IN RUBBER

研究了简单剪切与纯剪切的关系，得出了：（１）简单剪切可看成纯剪切加转动，转动角θ有；（２）若简单剪切椭圆的长轴与坐标轴Ｘ的夹角为φ，相应的纯剪椭圆长袖与坐标轴ｙ的夹角为β０，则φ＝β０；（３）橡胶在双向拉伸时剪应变γ的一般表达式为。

his paper has investigated the relation between simple shear and pure shear in rubber, from which we conclude that: (1) A simple shear was equivalent to a pure shear plus a rotation. The angle θ of rotation is given by tgθ=1/2(λ1-1/λ1) (2) If φ is the angle from the major axis in simple shear in rubber to the x-axis, β0, is the angle from the major axis in pure shear in rubber to the y-axis, then φ=β0, (3) A general expression of the shear strain γ in two-dimensional extension in rubber is given by In simple shear the resultina expression for γ is