1) principal axis of stress tensor
应力张量主轴
2) principal axis of strain tensor
应变张量主轴
3) principal value of stress tensor
应力张量主值
4) Mechanical axis tensor
力轴张量
1.
Based on the spatial orientation and slip direction of the fault plane solutions, we present the expression of corresponding mechanical axis tensor in geographic coordinate system, and then put forward a method for calculating average mechanical axis tensor and its eigenvalues, which involves solving the corresponding eigenequation.
基于震源断层面解的空间取向和断层滑动方向,写出相应力轴张量在地理坐标系中的表达式,进而给出计算平均力轴张量及主值的方法,即通过求解相应的本征方程得到。
5) principal extensional stress
主张应力
6) principal stress
主轴应力
1.
In the paper, the solution to Saint-Venant problem through assumption ofprincipal stress curves by means of the equilibrium equations which were deducedin paper [1] is obtained.
本文利用文[1]中讨论的主轴应力坐标上的平衡微分方程,通过假设平面杆在轴力作用下的主轴应力曲线,获得了该问题的圣维南问题的解,指出剪应力的衰减速度是a3/y3,轴力趋于常数的速度是a2/y2。
2.
In this paper, the equilibrium equations on orthogonal curve coordinates made of curves of principal stresses are disscused and their properties in process of solution are presented through a simple example.
本文中讨论了弹性力学平面问题中由主轴应力曲线构成的正交曲线坐标系上的平衡方程,以及解的特性。
补充资料:柯西应力张量
柯西应力张量
Cauchy's stress tensor
kexi yingli zhangliang柯西应力张t(Cauehy‘5 stress tensor)研究大变形时用现时构形来描述的对称应力张量。在大变形(有限变形)情况下,由于变形前的初始构形和变形后的现时构形(见弹一塑性有限元法)差别较大,这样分别定义在这两个构形上的应力张量就很必要。所谓物体的一个构形是指由连续介质构成的某一物体某瞬间在空间所占的区域。在大变形分析中柯西(Cauchy)应力张量是一种采用欧拉描述法(是以质点的瞬时坐标砂和时间t作为自变量描述)定义在t时刻的现时构形上的应力张量di,,又称欧拉应力张量。取三维空间笛卡儿坐标系,在t时刻的现时构形中截取一个四面体素,其斜面面元为da,法线为二,另外三个面元为da;、da:和da3,与所取坐标面平行。由四面体素的平衡条件得出da上的应力为: 可摊,=外n,这里氏J~‘便是柯西应力张量,它是二阶对称张量。
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