The General Stress Strain Relation of Soils Involving the Rotation of Principal Stress Axes
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摘要: 本文利用矩阵理论,分析了使主应力轴产生旋转的应力增量特性,并将一般应力增量分解为与应力共主轴部分及使之产生旋转部分。据此,将含主应力轴旋转的复杂三维问题简化为三维应力应变共轴问题和三主值不变绕某一主轴旋转问题的结合,大大简化了分析的难度。文中还结合有关模型给出了一般三维问题的具体计算方法。Abstract: In the light of matrix theory,the character of stress increment which causes the rotation of principal stress axes is analysed and the general stress increment is decomposed into two parts:coaxial part and rotational part.Based on these,the complex three dimension(3-D)problem involving the rotation of principal stress axes is simplified to the combination of the 3-D coaxial model and the theory about pure rotation of principal stress axes that is only around one principal stress axes.The difficulty of analysis is reduced significantly.The concrete calculating method of general 3-D problems is provided and other applications are also presented.
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