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  2. Material failure theory - Wikipedia

    en.wikipedia.org/wiki/Material_failure_theory

    Numerous other phenomenological failure criteria can be found in the engineering literature. The degree of success of these criteria in predicting failure has been limited. Some popular failure criteria for various type of materials are: criteria based on invariants of the Cauchy stress tensor; the Tresca or maximum shear stress failure criterion

  3. Tsai–Wu failure criterion - Wikipedia

    en.wikipedia.org/wiki/Tsai–Wu_failure_criterion

    The Tsai–Wu failure criterion is a phenomenological material failure theory which is widely used for anisotropic composite materials which have different strengths in tension and compression. [1] The Tsai-Wu criterion predicts failure when the failure index in a laminate reaches 1.

  4. Christensen failure criterion - Wikipedia

    en.wikipedia.org/wiki/Christensen_Failure_Criterion

    The Christensen failure criterion is a material failure theory for isotropic materials that attempts to span the range from ductile to brittle materials. [1] It has a two-property form calibrated by the uniaxial tensile and compressive strengths T ( σ T ) {\displaystyle \left(\sigma _{T}\right)} and C ( σ C ) {\displaystyle \left(\sigma _{C ...

  5. T-criterion - Wikipedia

    en.wikipedia.org/wiki/T-criterion

    The T-failure criterion is a set of material failure criteria that can be used to predict both brittle and ductile failure. [1] [2]These criteria were designed as a replacement for the von Mises yield criterion which predicts the unphysical result that pure hydrostatic tensile loading of metals never leads to failure.

  6. Tsai-Hill failure criterion - Wikipedia

    en.wikipedia.org/wiki/Tsai-Hill_failure_criterion

    The Tsai hill criterion is interactive, i.e. the stresses in different directions are not decoupled and do affect the failure simultaneously. [2] Furthermore, it is a failure mode independent criterion, as it does not predict the way in which the material will fail, as opposed to mode-dependent criteria such as the Hashin criterion, or the Puck ...

  7. Micro-mechanics of failure - Wikipedia

    en.wikipedia.org/wiki/Micro-mechanics_of_failure

    Failure indices for Hashin criteria are related to fibre and matrix failures and involve four failure modes. The criteria are extended to three-dimensional problems where the maximum stress criteria are used for transverse normal stress component. The failure modes included in Hashin's criteria are as follows. Tensile fibre failure for σ11 ≥ 0

  8. Drucker–Prager yield criterion - Wikipedia

    en.wikipedia.org/wiki/Drucker–Prager_yield...

    The Drucker–Prager yield criterion [1] is a pressure-dependent model for determining whether a material has failed or undergone plastic yielding. The criterion was introduced to deal with the plastic deformation of soils. It and its many variants have been applied to rock, concrete, polymers, foams, and other pressure-dependent materials.

  9. Goodman relation - Wikipedia

    en.wikipedia.org/wiki/Goodman_relation

    Within the branch of materials science known as material failure theory, the Goodman relation (also called a Goodman diagram, a Goodman-Haigh diagram, a Haigh diagram or a Haigh-Soderberg diagram) is an equation used to quantify the interaction of mean and alternating stresses on the fatigue life of a material. [1]