Notations
=========

The notations used here are the usual notations in soil mechanics, to which are added the notations specific to the writing of the parameters of law CJS.

The correspondence, if any, between the parameters of the law and their notations in Aster is also given.


.. csv-table::

    ":math:`A` ", "model parameter", "A_ CJS"
    ":math:`b` ", "model parameter", "B_ CJS"
    ":math:`c` ", "model parameter", "C_ CJS"
    ":math:`n` ", "model parameter", "N_ CJS"
    ":math:`K` ", "elastic volume deformation modulus", ""
    ":math:`{K}_{o}^{e}` ", "model parameter", ""
    ":math:`{K}_{o}^{p}` ", "model parameter", "KP"
    ":math:`G` ", "elastic shear modulus", ""
    ":math:`{G}_{o}^{e}` ", "model parameter", ""
    ":math:`{G}^{d}` ", "function controlling the evolution of deviatory plastic deformations", ""
    ":math:`s` ", "stress tensor deviator", ""
    ":math:`{I}_{1}` ", "first constraint invariant", ""
    ":math:`{p}_{\text{co}}` ", "initial critical pressure", "PCO"
    ":math:`{P}_{a}` ", "model reference pressure", "PA"
    ":math:`{f}^{i},{f}^{d}` ", "thresholds of isotropic and deviatory plastic mechanisms", ""
    ":math:`{Q}_{\text{iso}}` ", "internal variable of the model corresponding to the allowable limit of the plane of deviation", ""
    ":math:`q,Q` ", "model tensors", ""
    ":math:`R,X` ", "internal variables of the model corresponding to the mean radius and the center of the load surface in the deviatory plane", ""
    ":math:`{R}_{m}` ", "model parameter", "RM"
    ":math:`{R}_{c}` ", "model parameter", "RC"
    "", "", ""
    ":math:`{\lambda }^{i},{\lambda }^{d}` ", "plastic multipliers of isotropic and deviatory mechanisms", ""
    ":math:`\varepsilon ,{\varepsilon }^{e},{\varepsilon }^{\text{ip}},{\varepsilon }^{\text{dp}}` ", "tensors of total deformations, elastic, isotropic plastics and deviatory plastics respectively", ""
    ":math:`{\varepsilon }_{v}` ", "volume deformations", ""
    ":math:`\beta ` ", "model parameter", "BETA_CJS"
    ":math:`\gamma` ", "model parameter", "GAMMA_CJS"
    ":math:`\theta` ", "Lode angle", ""
    ":math:`\phi` ", "function limiting the evolution of :math:`X` ","
    ":math:`\mu` ", "model parameter", "MU_CJS"
    ":math:`{Q}_{\text{init}}` ", "model parameter", "Q_ INIT"


**Note**:

*Warning to readers: Contrary to the use of geomechanics, the sign convention used is that of the mechanics of continuous media, i.e. the tractions are counted positively.*