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Plastic Deformation of Metals

  • John D. Campbell
Part of the International Centre for Mechanical Sciences book series (CISM, volume 46)

Abstract

The classical theory of plasticity is based on the concept of a yield criterion f(б ij )= k , where б ij is the stress tensor and k is a material constant, which is in general a function of the previous strain history. For an isotropic material, the function f may be expressed in terms of the three invariants I1, I2, I3, of the stress tensor. Experimentally, it is found that the hydrostatic component of stress does not affect plastic flow, so that the stress may be replaced by the stress deviation
(1.1.1)
where б = бkk and δ ij is the Kronecker delta. The yield criterion thus reduces to f(J2, J3) = k , where J2 , J3 are the second and third invariants of s ij (J1 being identically zero). In the von Mises criterion this is further simplified to J 2 1/2 = k where k is now identified with the yield stress in simple shear.

Keywords

Plastic Strain Mild Steel Applied Stress Plastic Flow Yield Criterion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1970

Authors and Affiliations

  • John D. Campbell
    • 1
  1. 1.University of OxfordUK

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