stress vector sentence in Hindi
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- The stress vector is a frame-indifferent vector ( see Euler-Cauchy's stress principle ).
- 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.
- 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.
- It seems to be normal to the stress vector, and the piezoelectric vector, I imagine this has to do with symmetry . ( TALK ) 18 : 10, 19 December 2005 ( UTC)
- If the stress vector itself is opposite to x, the material is said to be under "'normal compression "'or "'pure compressive stress "'along x.
- Stress tensor can be considered as a matrix with nine components being the nine stress vectors acting on a point, in which the three vectors along the diagonal ( highlighted in brown ) represent the principal axes.
- If the stress vector is purely compressive and has the same magnitude for all directions, the material is said to be under "'isotropic "'or "'hydrostatic compression "'at that point.
- Cauchy s stress principle asserts that as \ Delta S becomes very small and tends to zero the ratio \ Delta \ mathbf F / \ Delta S becomes d \ mathbf F / dS and the couple stress vector \ Delta \ mathbf M vanishes.
- The nine components " & sigma; ij " of the stress vectors are the components of a second-order Cartesian tensor called the " Cauchy stress tensor ", which completely defines the state of stress at a point and is given by
- Depending on the orientation of the plane under consideration, the stress vector may not necessarily be perpendicular to that plane, " i . e . " parallel to \ mathbf n, and can be resolved into two components ( Figure 2.1c ):
- The Cauchy's stress quadric, also called the " stress surface ", is a surface of the second order that traces the variation of the normal stress vector \ sigma _ \ mathrm n \, \ ! as the orientation of the planes passing through a given point is changed.
- The reduced stress tensor is a mathematical computation approach to determining the three principal axes and the stress ratio, totally four independent unknowns, calculated as eigenvectors and eigenvalue respectively, so that this method is more complete and accurate than the mentioned graphical approaches . Nine stress vectors acting on a cube ( point ), in which ? 11, ? 22 and ? 33 are the principal axes
- The "'Euler Cauchy stress principle "'states that " upon any surface ( real or imaginary ) that divides the body, the action of one part of the body on the other is equivalent ( equipollent ) to the system of distributed forces and couples on the surface dividing the body ", and it is represented by a field \ mathbf { T } ^ { ( \ mathbf { n } ) }, called the stress vector, defined on the surface S and assumed to depend continuously on the surface's unit vector \ mathbf n.
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