Constitutive equations for describing the elastoplastic deformation of elements of a body along small-curvature paths in view of the stress mode

@article{Shevchenko2006ConstitutiveEF,
  title={Constitutive equations for describing the elastoplastic deformation of elements of a body along small-curvature paths in view of the stress mode},
  author={Yu. N. Shevchenko and R. G. Terekhov and N. N. Tormakhov},
  journal={International Applied Mechanics},
  year={2006},
  volume={42},
  pages={421-430}
}
Equations relating the components of the stress and strain tensors (constitutive equations) are formulated in terms of Euler coordinates. The equations describe the finite elastoplastic deformation of an isotropic body along paths of small curvature. It is assumed that the stress deviator is coaxial with the plastic-strain differential deviator. The relationships between the first and second invariants of the stress and strain tensors in the case of complex elastoplastic deformation of the body… CONTINUE READING