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  2. Material failure theory - Wikipedia

    en.wikipedia.org/wiki/Material_failure_theory

    Maximum distortion energy theory (von Mises yield criterion) also referred to as octahedral shear stress theory. [4] – This theory proposes that the total strain energy can be separated into two components: the volumetric (hydrostatic) strain energy and the shape (distortion or shear) strain energy. It is proposed that yield occurs when the ...

  3. von Mises yield criterion - Wikipedia

    en.wikipedia.org/wiki/Von_Mises_yield_criterion

    In materials science and engineering, the von Mises yield criterion is also formulated in terms of the von Mises stress or equivalent tensile stress, . This is a scalar value of stress that can be computed from the Cauchy stress tensor .

  4. Yield surface - Wikipedia

    en.wikipedia.org/wiki/Yield_surface

    Figure 3 shows the von Mises yield surface in the three-dimensional space of principal stresses. It is a circular cylinder of infinite length with its axis inclined at equal angles to the three principal stresses. Figure 4 shows the von Mises yield surface in two-dimensional space compared with Tresca–Guest criterion.

  5. Micro-mechanics of failure - Wikipedia

    en.wikipedia.org/wiki/Micro-mechanics_of_failure

    Hierarchy of micromechanics-based analysis procedure for composite structures. The theory of micro-mechanics of failure aims to explain the failure of continuous fiber reinforced composites by micro-scale analysis of stresses within each constituent material (such as fiber and matrix), and of the stresses at the interfaces between those constituents, calculated from the macro stresses at the ...

  6. Interval finite element - Wikipedia

    en.wikipedia.org/wiki/Interval_finite_element

    Maximum von Mises stress in plane stress problem with the interval parameters (calculated by using gradient method). In numerical analysis, the interval finite element method (interval FEM) is a finite element method that uses interval parameters. Interval FEM can be applied in situations where it is not possible to get reliable probabilistic ...

  7. Talk:von Mises yield criterion - Wikipedia

    en.wikipedia.org/wiki/Talk:Von_Mises_yield_criterion

    The von Mises stress in not the strength. The strength is a material constant, while the von Mises stress depends on the loading. In the special case of an unloaded material it is simply zero."' I won't argue that. What I was trying to state was that the uniaxial stress at yield is the same Von Mises Stress .

  8. Lode coordinates - Wikipedia

    en.wikipedia.org/wiki/Lode_Coordinates

    If a non-isomorphic pair is used for the meridional profile then the normal to the yield surface will not appear normal in the meridional profile. Any pair of coordinates that differ from ( z , r ) {\displaystyle (z,r)} by constant multiples of equal absolute value are also isomorphic with respect to principal stress space.

  9. von Mises distribution - Wikipedia

    en.wikipedia.org/wiki/Von_Mises_distribution

    On the other hand, the von Mises distribution is the stationary distribution of a drift and diffusion process on the circle in a harmonic potential, i.e. with a preferred orientation. [1] The von Mises distribution is the maximum entropy distribution for circular data when the real and imaginary parts of the first circular moment are