.. _R5.03.17:

**r5.03.17** Discrete element behavior relationships
====

**Summary:**

This document describes the nonlinear behaviors of discrete elements that are called by the
nonlinear problem solving operators STAT_NON_LINE [:ref:`U4.51.03<U4.51.03>`] or
DYNA_NON_LINE [:ref:`U4.53.01<U4.53.01>`].
More specifically, the behaviors described in this document are:

*   thermo-elastic behavior :ref:`ELAS<R5.03.17-ELAS>`,
*   the Von Mises-type isotropic work hardening behavior used for the modeling of :ref:`assemblages filetés<R5.03.17-DIS_GOUJ2E>`, accessible by the keywords DIS_GOUJ2E_PLAS and DIS_GOUJ2E_ELAS of the keyword factor COMPORTEMENT [:ref:`U4.51.11<U4.51.11>`],
*   bilinear elastic behavior, accessible by the keyword :ref:`DIS_BILI_ELAS<R5.03.17-DIS_BILI_ELAS>`,
*   the Von Mises-type behavior with non-linear kinematic work hardening, accessible by the keyword :ref:`DIS_ECRO_CINE<R5.03.17-DIS_ECRO_CINE>`,
*   the non-linear viscoelastic rheological behavior, accessible by the keyword :ref:`DIS_VISC<R5.03.17-DIS_VISC>`,
*   the non-linear elastoplastic behavior, accessible by the keyword :ref:`DIS_ECRO_TRAC<R5.03.17-DIS_ECRO_TRAC>`,
*   the contact type behavior with shock and Coulomb friction, in explicit integration with penalization stiffness, accessible by the keyword :ref:`DIS_CHOC<R5.03.17-DIS_CHOC>` of the keyword factor COMPORTEMENT [:ref:`U4.51.11<U4.51.11>`],
*   the elastic nonlinear contact behavior :ref:`DIS_CHOC_TRAC<R5.03.17-DIS_CHOC_TRAC>`, in explicit integration with a nonlinear stiffness given by a function,
*   the contact type behavior with solid shock and Coulomb friction, in implicit integration, accessible by the keyword :ref:`DIS_CONTACT<R5.03.17-DIS_CONTACT>`,
*   behaviors :ref:`CHOC_ENDO<R5.03.17-CHOC_ENDO>` and :ref:`CHOC_ENDO_PENA<R5.03.17-CHOC_ENDO>`, which makes it possible to model a behavior that takes into account a threshold for the shock force, as well as a variation in stiffness and damping as a function of the relative displacement of the nodes of the discrete element,
*   the behavior of the type unilateral contact with Coulomb friction, used to model the translation and rotation behavior of all the grid-pencil connection springs of fuel assemblies, accessible by the keyword :ref:`DIS_GRICRA<R5.03.17-DIS_GRICRA>`.
*   line arming behavior, accessible by the keyword :ref:`ARME<R5.03.17-ARME>`,
*   the "Dashpot" type of behavior, accessible by the :ref:`DASHPOT<R5.03.17-DASHPOT>` keyword,
*   non-linear behavior, which makes it possible to model a flexural junction between a wall and a floor or a slab, accessible by the keyword :ref:`JONC_ENDO_PLAS<R5.03.17-JONC_ENDO_PLAS>`.

The integration of the behavior models mentioned above is detailed in this document. Other behaviors relating to discrete elements are available, but not detailed here:

*   non-linear assembly of tower angles, relationship ASSE_CORN [:ref:`R5.03.32<r5.03.32>`],
*   the non-linear elastoplastic behavior of a :ref:`fondation superficielle rectangulaire<R5.03.17-FONDATION>` subjected to static or seismic three-dimensional stress, relationship FONDA_SUPERFI [:ref:`R5.03.31<r5.03.31>`].


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