1. Introduction

This document presents a law of thermo-elasto- (visco) plastic behavior with isotropic work hardening in large deformations that takes into account the effects of metallurgical transformations. This model can be used for three-dimensional, axisymmetric and plane deformation problems.

This law represents an « assembly » of two models implanted in Code_Aster, namely a thermoelastoplastic model with isotropic work hardening written in large deformations (keyword factor DEFORMATION: “SIMO_MIEHE”, cf. [R5.03.21]) and a model small thermo-elasto- (visco) plastic deformations with the effects of metallurgical transformations (keyword factor “META_P_ _” or” META_V_ _” or “_”)” Of COMPORTEMENT from the STAT_NON_LINE operator). The first model of large deformations was therefore extended to take into account the consequences of metallurgical transformations on mechanics.

To understand this document, it is practically essential to read the reference documents [R5.03.21] and [R4.04.02] which concern, respectively, the large deformation model without metallurgical effects and the small deformation model with metallurgical effects. However, to facilitate the reading of this note, we give a few reminders about these two models.

To justify the extension of the model written in large deformations to the model large deformations with metallurgical effects, we take up some theoretical aspects extracted from [bib1] related to the writing of the large deformations model.

The behavioral relationships of the complete model, its numerical integration and the expressions of the tangent matrix are then presented (options FULL_MECA and RIGI_MECA_TANG).