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  2. 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 .

  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 (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Stress_(mechanics)

    This type of stress may be called (simple) normal stress or uniaxial stress; specifically, (uniaxial, simple, etc.) tensile stress. [13] If the load is compression on the bar, rather than stretching it, the analysis is the same except that the force F and the stress change sign, and the stress is called compressive stress.

  5. Yield surface - Wikipedia

    en.wikipedia.org/wiki/Yield_surface

    The Drucker–Prager yield criterion is similar to the von Mises yield criterion, with provisions for handling materials with differing tensile and compressive yield strengths. This criterion is most often used for concrete where both normal and shear stresses can determine failure. The Drucker–Prager yield criterion may be expressed as

  6. Mohr–Coulomb theory - Wikipedia

    en.wikipedia.org/wiki/Mohr–Coulomb_theory

    Mohr–Coulomb theory is a mathematical model (see yield surface) describing the response of brittle materials such as concrete, or rubble piles, to shear stress as well as normal stress. Most of the classical engineering materials follow this rule in at least a portion of their shear failure envelope.

  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. 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 ...

  9. Lode coordinates - Wikipedia

    en.wikipedia.org/wiki/Lode_Coordinates

    Any pair of coordinates that differ from (,) by constant multiples of equal absolute value are also isomorphic with respect to principal stress space. As an example, pressure = / and the Von Mises stress = are not an isomorphic coordinate pair and, therefore, distort the yield surface because