Generalized Radial Return Stress Update with automatic differentiation

Base class which computes the solution of a generalized radial return mapping algorithm. The generalization of the isotropic radial return mapping to Hill plasticity allows for computing the return to the yield surface through a scalar variable when computed in a proper subspace.

Anisotropic (Hill) creep and plasticity classes such as HillCreepStressUpdate and HillPlasticityStressUpdate inherit from the generalized radial return mapping. For details on the anisotropic plasticity and anisotropic elasto-plasticity algorithms, consult Versino and Bennett (2018).

References

Daniele Versino and Kane C Bennett. Generalized radial-return mapping algorithm for anisotropic von mises plasticity framed in material eigenspace. International Journal for Numerical Methods in Engineering, 116(3):202–222, 2018.

@article{versino2018generalized,
    author = "Versino, Daniele and Bennett, Kane C",
    title = "Generalized radial-return mapping algorithm for anisotropic von Mises plasticity framed in material eigenspace",
    journal = "International Journal for Numerical Methods in Engineering",
    volume = "116",
    number = "3",
    pages = "202--222",
    year = "2018",
    publisher = "Wiley Online Library"
}