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**r7.01.03** Behavioral law BETON_DOUBLE_DP with Drücker-Prager double criteria for concrete cracking and compression
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**Summary**

The model presented in this document, behavior BETON_DOUBLE_DP, is a nonlinear law of behavior for concrete. It is based on the theory of plasticity, it is valid for three-dimensional stress states. The modeling hypotheses used are as follows:


* a field of reversibility of constraints delimited by two criteria of the Drücker Prager type,


* a work-hardening of each of the criteria,


* in compression, positive work hardening up to a peak, then negative work hardening,


* in traction, negative work hardening exclusively,


* a dependence of the shape of the post-peak curves in both cases (traction/compression) on the size of the finite element (the shape of this curve is linked to negative work hardening and to the cracking energy),


* normal plastic flow rules (associated plasticity) and an isotropic work hardening formulation,


* taking into account the dependence of the elasticity thresholds on temperature,


* taking into account the dependence of Young's modulus on temperature.

 **Table of Contents**




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    Notations
    Introduction
    Domaine_de_r_versibilit__et_fonctions_seuils
    Ecoulement_plastique
    Int_gration_num_rique_de_la_loi_de_comportement
    Bibliographie
    Fonctionnalit_s_et_v_rification
    Description_des_versions_du_document