Principal stresses are often expressed in the following equation for evaluating stresses in the x and y directions or axial and bending stresses on a part.
22.
When a mechanical stress is applied to the crystal, new vacancies will be created at the sides perpendicular to the direction of the lowest principal stress.
23.
The principal stresses in the brittle material can be computed as the eigenvalues of the brittle material stress tensor, for example by Jacobi's method.
24.
Any pair of coordinates that differ from ( z, r ) by constant multiples of equal absolute value are also isomorphic with respect to principal stress space.
25.
A coordinate system with axes oriented to the principal directions implies that the normal stresses are the principal stresses and the stress tensor is represented by a diagonal matrix:
26.
In sheared zones, however, planar fabric within a rock may not be directly perpendicular to the principal stress direction due to rotation, mass transport and shortening.
27.
The term " Haigh-Westergaard space " is ambiguously used in the literature to mean both the Cartesian principal stress space and the cylindrical Lode coordinate space
28.
The approximation is built upon the assumption that the orientation of maximum principal stress ( ? 1 ) most probably passes through the greatest number of P-quadrants.
29.
This can easily be understood by considering the direction of the greatest principal stress, the direction of the force that'pushes'the rock mass during the faulting.
30.
This means that the material remains elastic when all three principal stresses are roughly equivalent ( a hydrostatic pressure ), no matter how much it is compressed or stretched.
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