.. _r5.03.09: **r5.03.09** 1D nonlinear behavioral relationships ======================================================== **Summary:** This document describes the quantities calculated by the operator STAT_NON_LINE necessary for the implementation of the quasistatic nonlinear algorithm described in [:external:ref:`R5.03.01 `] in the case of one-dimensional elastoplastic or viscoplastic behaviors. These behaviors, unless otherwise specified, are applicable to the elements of BARRE, to the elements of beams and multifibre beams (axial directions only) and to the elements of concrete reinforcement (modeling GRILLE). The behaviors described in this document are: • the Von Mises behavior with linear isotropic work hardening: VMIS_ISOT_LINE, and any VMIS_ISOT_TRAC, • the Von Mises behavior with linear kinematic work hardening: VMIS_CINE_LINE, • the Von Mises behavior at linear, non-symmetric work hardening under tension and compression: with restoration of the center of the elastic domain: VMIS_ASYM_LINE. The latter was developed to model the action of the ground on gas-insulated cables, • the behavior of PINTO - MENEGOTTO which makes it possible to represent the uniaxial elasto-plastic behavior of reinforced concrete reinforcements. This model reflects the non-linearity of bar work hardening under cyclic loading and takes into account the Bauschinger effect. It also makes it possible to simulate the buckling of reinforcements under compression. This relationship is available in the*Code_Aster* for bar items and grid items, • viscoplastic behaviors with the effect of irradiation: VISC_IRRA_LOG, GRAN_IRRA_LOG. • the behavior of MAZARS in its :math:`\mathrm{1D}` version. Version :math:`\mathrm{1D}` of the Mazars model makes it possible to report on the restoration of stiffness in the event of cracks being closed. • the behavior to model the relaxation of pre-stressed cables. The resolution is made case by an implicit integration method. Unless otherwise stated, from the previous calculation moment, the stress field resulting from a deformation increment is calculated, and the tangent behavior that makes it possible to build the tangent matrices are calculated. Finally, a method is described, similar to the method due to R.deborst [:external:ref:`R5.03.03 `], making it possible to use all the behaviors available in 3D in the 1D elements. .. toctree:: :hidden: self .. toctree:: :maxdepth: 2 :numbered: Utilisation_des_relations_de_comportement_1D Comportement_de_Von-Mises____crouissage_isotrope_lin_aire___VMIS_ISOT_LINE_ou_VMIS_ISOT_TRAC Comportement_de_Von_Mises___crouissage_cin_matique_lin_aire_1D___VMIS_CINE_LINE Comportement_de_Von_Mises___crouissage_cin_matique_lin_aire_1D___vmis_CINE_gc Comportement_de_Von_Mises____crouissage_lin_aire_asym_trique___VMIS_ASYM_LINE Mod_le_de_PINTO_MENEGOTTO Comportements_VISC_IRRA_LOG_et_GRAN_IRRA_LOG Mod_le_de_MAZARS_en_1D Loi_de_comportement_RELAX_ACIER M_thode_pour_utiliser_en_1D_tous_les_comportements_3D Bibliographie