.. _r5.03.01:

**r5.03.01** Quasi-static nonlinear algorithm (STAT_NON_LINE)
===================================================================

**Summary:**

In the case of a quasi-static load, the operator STAT_NON_LINE [:ref:`U4.51.03 <U4.51.03>`] allows the integration of various types of non-linearities resulting from the behavior of the material, large geometric transformations or contact/friction conditions. The global resolution algorithm used is described here.

The integration of behavioral relationships proper is described in documents [:external:ref:`R5.03.... <R5.03....>`] and [:external:ref:`R7.01.... <R7.01....>`], (for example [:ref:`R5.03.02 <R5.03.02>`] for elasto-plasticity), which can be referred to for more details.

For calculations in large geometric transformations, one can consult for example the document [:external:ref:`R5.03.20 <R5.03.20>`] on nonlinear elasticity in large displacements, or the documents [:external:ref:`R5.03.21 <R5.03.21>`], [:external:ref:`R5.03.22 <R5.03.22>`] on thermoelastoplasticity with isotropic work hardening.

For friction contact, there are three documents: [:ref:`R5.03.50 <R5.03.50>`] on the discrete formulation of touch/friction, [:external:ref:`R5.03.52 <R5.03.52>`] for the hybrid formulation with contact/friction elements.

For everything concerning piloting, refer to the document [:external:ref:`R5.03.80 <R5.03.80>`].


.. _Ref195070280:




.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Pr_sentation
    M_thode_de_Newton
    Conditions_limites_et_chargements
    Recherche_lin_aire
    Pilotage
    R_gularisation_visco_lastique_REGU_VISC
    Bibliographie
    Historique_des_versions_du_document