principal stress sentence in Hindi
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- 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.
- 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.
- 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.
- 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.
- 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:
- 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.
- 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
- 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.
- 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.
- 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.
- Extension tests ( with confining pressure greater than the compressive stress ) show that the intermediate principal stress as well as the strain rate has an effect on the strength.
- The working principle of two-dimensional photoelasticity allows the measurement of retardation, which can be converted to the difference between the first and second principal stress and their orientation.
- But knowing that for the principal stresses the shear stress \ tau _ \ mathrm { n } = 0 \, \ !, then we obtain from this equation:
- Mohr's circle is used to determine which principal stresses that will produce this combination of shear and normal stress, and the angle of the plane in which this will occur.
- When this happens the rock fractures in a plane parallel to the maximum principal stress and perpendicular to the minimum principal stress ( the direction in which the rock is being stretched ).
- When this happens the rock fractures in a plane parallel to the maximum principal stress and perpendicular to the minimum principal stress ( the direction in which the rock is being stretched ).
- Where \ lambda is a constant of proportionality, and in this particular case corresponds to the magnitudes \ sigma _ \ mathrm { n } of the normal stress vectors or principal stresses.
- In the three-dimensional principal stresses ( \ sigma _ 1, \ sigma _ 2, \ sigma _ 3 ), an infinite number of yield points form together a yield surface.
- This also causes an increase in pore pressure in preexisting cracks that increases the tensile stress on them perpendicular to the minimum principal stress ( the direction in which the rock is being stretched ).
- Only for the case where the stress vector lies along one of the principal directions it is possible to know the direction of the plane, as the principal stresses act perpendicular to their planes.
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