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  2. von Mises yield criterion - Wikipedia

    en.wikipedia.org/wiki/Von_Mises_yield_criterion

    However, by means of the von Mises yield criterion, which depends solely on the value of the scalar von Mises stress, i.e., one degree of freedom, this comparison is straightforward: A larger von Mises value implies that the material is closer to the yield point.

  3. 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 ...

  4. Stress triaxiality - Wikipedia

    en.wikipedia.org/wiki/Stress_Triaxiality

    In continuum mechanics, stress triaxiality is the relative degree of hydrostatic stress in a given stress state. [1] It is often used as a triaxiality factor, T.F, which is the ratio of the hydrostatic stress, σ m {\displaystyle \sigma _{m}} , to the Von Mises equivalent stress , σ e q {\displaystyle \sigma _{eq}} .

  5. 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 ...

  6. 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 ...

  7. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    There are four failure theories: maximum shear stress theory, maximum normal stress theory, maximum strain energy theory, and maximum distortion energy theory (von Mises criterion of failure). Out of these four theories of failure, the maximum normal stress theory is only applicable for brittle materials, and the remaining three theories are ...

  8. Lode coordinates - Wikipedia

    en.wikipedia.org/wiki/Lode_Coordinates

    This plot shows a typical meridional profile of several plasticity models: von Mises, linear Drucker–Prager, Mohr–Coulomb, Gurson, and Bigoni–Piccolroaz. The upper portion of the plot depicts yield surface behavior in triaxial extension and the lower portion depicts yield surface behavior in triaxial compression.

  9. Viscoplasticity - Wikipedia

    en.wikipedia.org/wiki/Viscoplasticity

    The yield function is often expressed as an equation consisting of some invariant of stress and a model for the yield stress (or plastic flow stress). An example is von Mises or plasticity. In those situations the plastic strain rate is calculated in the same manner as in rate-independent plasticity.