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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 ...
In mathematical terms, failure theory is expressed in the form of various failure criteria which are valid for specific materials. Failure criteria are functions in stress or strain space which separate "failed" states from "unfailed" states. A precise physical definition of a "failed" state is not easily quantified and several working ...
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.
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]
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.
Alternately, a formability limit diagram can be generated by mapping the shape of a failure criterion into the formability limit domain. [3] However the diagram is obtained, the resultant diagram provides a tool for the determination as to whether a given cold forming process will result in failure or not. Such information is critical in the ...
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 ...
Drucker's first stability criterion (first proposed by Rodney Hill and also called Hill's stability criterion [2]) is a strong condition on the incremental internal energy of a material which states that the incremental internal energy can only increase.