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Symmetry-Adapted Yield Criterion for Non-Schmid Materials

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Document pages: 7 pages

Abstract: We develop a general yield criterion that is applicable to all crystalline materials in which the plastic deformation is governed by the glide of dislocations. It is represented by a linear combination of six stress functions that are expressed using the eigenstresses of the applied stress tensor. These stress functions are represented by their Maclaurin series in which only the terms that obey the inversion symmetry associated with the slip plane normal and the slip direction are retained. This results in a homogeneous effective stress of order two, where the quadratic terms are further eliminated by resolving the respective stresses into another coordinate system in the zone of the slip direction. The ensuing linear yield criterion is applicable to all materials in which the onset of crystal plasticity is not governed by Schmid s law. In the special case where the contributions of all non-Schmid stresses vanish, our theoretical model reduces to the maximum shear stress theory of Tresca.

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