考虑主应力轴旋转土体的应力增量分析

ANALYSIS OF STRESS INCREMENT CONSIDERING ROTATION OF PRINCIPAL STRESS AXES OF SOIL

首先研究主应力轴旋转问题 ,研究了二维和三维主应力轴旋转的应力增量分析 ,这类研究使考虑主应力轴旋转的塑性力学问题建立在更加严格的数学基础上 .接着研究应力Lode角改变的问题 ,认为这类问题实为主应力空间中的坐标变换问题 ,并通过两次线性变换和一次非线性变换 ,将主应力空间坐标系oσ1σ2 σ3变换到 p -q-θσ 空间坐标系 .在 p -q-θσ 空间坐标系中 ,球应力 p不变 ,广义剪应力q不变 ,仅有应力 Lode角变化的问题 ,即为纯应力Lode角的改变问题 .

The rotation of principal stress axes is studied in two_dimensional and three_dimensional principal stress space,and the stress increment considering the rotation of principal stress axes of soil is analysed with the solution of the problems of plasticity considering the rotation of principal stress axes based on rigorous mathematical reasoning.The problem of change of stress Lode's angle is studied as a problem of coordinate transformation in the principal stress space.Through two linear transformations and one non_linear transformation ,the principal stress space coordinate system is transformed into a p-q-θ σ space coordinate system.The problem that stress Lode's angle changes while the directions of principal stress axes and the values of mean stress p and generalized shear stress q remain unchanged is named as the problem of change of pure stress Lode's angle.