For ductile material the suitable failure theory is
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Failure theory is the science of predicting the conditions under which solid materials fail under the action of external loads. The failure of a material is usually classified into brittle failure (fracture) or ductile failure (yield).
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- Commonly used failure criteria for ductile materials are: the Tresca or maximum shear stress criterion. the von Mises yield criterion or distortional strain energy density criterion. ... various criteria based on the invariants of the Cauchy stress tensor
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