论文部分内容阅读
本文估测了在两个同心圆边界内的旋转剪切带中的牛顿和非牛顿材料的应力和剪应变速率。剪切带中一点的切向剪应力τ_(rθ)与1/r~2成正比,其中γ是从旋转中心到该点的距离。任一点的主应力σ_1和σ_3与从旋转中心到该点的半径成45°角。剪应变速率γ与1/r~(2n)成正比,其中 n 是本构方程中的应力指数。作为圆形边界的总旋转角和 n 的函数,应变椭圆的分布在不同点系统地变化。当 n 很大时,变形显著地集中在靠近内边界的狭窄带内。
This paper estimates the stress and shear strain rates of Newtonian and non-Newtonian materials in the rotating shear zone within two concentric circles. The tangential shear stress τ_ (rθ) at a point in the shear band is proportional to 1 / r ~ 2, where γ is the distance from the center of rotation to this point. The principal stresses σ_1 and σ_3 at any point are at an angle of 45 ° to the radius from the center of rotation. The shear strain rate γ is proportional to 1 / r ~ (2n), where n is the stress index in the constitutive equation. As a function of the total rotation angle of the circular boundary and n, the distribution of strain ellipses varies systematically at different points. When n is large, deformation is significantly concentrated in the narrow band near the inner boundary.