Development of a thermo-mechanical behaviour model adapted to the ITER vacuum vessel material

Abstract The ITER machine has been classified as a Basic Nuclear Installation French nuclear regulator (INB n°174), which implies that it will be the first fusion reactor to go through complete French nuclear licencing. The combination of mechanic and electromagnetic phenomena with the heat loads caused by neutron streaming requires a multi-physics approach to the damage assessment, which has not yet been implemented in the common nuclear codes and standards. The general damage prevention methodology consists in guaranteeing the structural integrity of a component. The development of design rules has mainly two origins: prevention of damage from monotonic mechanical loads and prevention of damage from repeated application of loads. In most cases, structural integrity is justified within a linear elastic behaviour but when this route is not enough to respect the design criteria, several non-linear approaches to the material's mechanical behaviour can be considered, requiring more elaborated demonstration of the design compliance. Nevertheless, the models proposed in the nuclear model database are sometimes not sufficient to properly describe the experimentally observed cyclic plasticity behaviour and, in particular, the ratcheting and shakedown phenomena. According to ITER community experts in materials and analyses, a thermo-mechanical behaviour model fitting the ITER Tokamak materials data will guarantee the best prediction of the damage considering a nuclear and a multi-physic loading condition. This paper describes the assessment of the non-linear behaviour of Vacuum Vessel (VV) material with a strong thermo-mechanical coupling and a damage parameter to prevent crack initiation. More precisely, Chaboche's models available in the literature (elasto-(visco)-plasticity models, with various types of hardening) have been enriched in order to explicitly take into account the influence of the temperature on the mechanical behaviour and, reciprocally, the influence of the mechanical behaviour on the temperature. Mechanical cycling tests have been performed on the VV constitutive material, emphasizing on the progressive deformation state up to failure mode, i.e., ratcheting. The proposed models have been tested on a homogeneous problem and the results compared with uniaxial test results; this type of simulation is commonly called “0D”analysis. The last part of this document describes the finite element implementation of the constitutive material model and its application to the ITER VV welded support.

[1]  Jean-Louis Chaboche,et al.  On some modifications of kinematic hardening to improve the description of ratchetting effects , 1991 .

[2]  P. Perzyna The thermodynamical theory of elasto-viscoplasticity , 2005 .

[3]  Steven J. Zinkle,et al.  ITER R&D: Vacuum Vessel and In-Vessel Components: Materials Development and Test , 2001 .

[4]  C. Sborchia,et al.  Structural analysis of the ITER Vacuum Vessel regarding 2012 ITER Project-Level Loads , 2014 .

[5]  N. Ohno,et al.  Kinematic hardening rules with critical state of dynamic recovery, part I: formulation and basic features for ratchetting behavior , 1993 .

[6]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .

[7]  M. Gurtin,et al.  Thermodynamics with Internal State Variables , 1967 .

[8]  S.P. Singh,et al.  Application of 3D View Factor method for heat fluxes deposition on ITER Cryostat Thermal Shield , 2019, Fusion Engineering and Design.

[9]  Huseyin Sehitoglu,et al.  Modeling of cyclic ratchetting plasticity, Part II: Comparison of model simulations with experiments , 1996 .

[10]  C. O. Frederick,et al.  A mathematical representation of the multiaxial Bauschinger effect , 2007 .

[11]  H. Kawamura,et al.  Structural materials for ITER in-vessel component design , 1996 .

[12]  C. Sborchia,et al.  Structural damages prevention of the ITER vacuum vessel and ports by elasto-plastic analysis with regards to RCC-MR , 2015 .

[13]  N. Ohno,et al.  Uniaxial Ratchetting of 316FR Steel at Room Temperature— Part II: Constitutive Modeling and Simulation , 2000 .

[14]  C. Sborchia,et al.  ITER vacuum vessel structural analysis completion during manufacturing phase , 2016 .

[15]  Laurent Adam,et al.  Thermomechanical modeling of metals at finite strains: First and mixed order finite elements , 2005 .

[16]  Wei Sun,et al.  Unified viscoplasticity modelling and its application to fatigue-creep behaviour of gas turbine rotor , 2018 .

[17]  Huseyin Sehitoglu,et al.  Modeling of cyclic ratchetting plasticity, part i: Development of constitutive relations , 1996 .

[18]  Ronald L. Klueh,et al.  Cladding and duct materials for advanced nuclear recycle reactors , 2008 .

[19]  G. Rousselier,et al.  Ductile fracture models and their potential in local approach of fracture , 1987 .

[20]  D. Nouailhas Modélisation de l'écrouissage et de la restauration en viscoplasticité cyclique , 1988 .

[21]  Jean Lemaitre,et al.  Coupled elasto-plasticity and damage constitutive equations , 1985 .

[22]  Hartwig Hübel,et al.  Basic conditions for material and structural ratcheting , 1996 .

[23]  J. Bree Elastic-plastic behaviour of thin tubes subjected to internal pressure and intermittent high-heat fluxes with application to fast-nuclear-reactor fuel elements , 1967 .

[24]  N. Ohno,et al.  Thermal ratchetting of a cylinder subjected to a moving temperature front: Effects of kinematic hardening rules on the analysis , 1996 .

[25]  N. Ohno,et al.  Uniaxial Ratchetting of 316FR Steel at Room Temperature— Part I: Experiments , 2000 .

[26]  Jean-Louis Boutard Endommagement des alliages métalliques par les neutrons rapides , 2014 .

[27]  A. Chrysochoos,et al.  Analysis of thermoelastic effects accompanying the deformation of PMMA and PC polymers , 2005 .

[28]  Nobutada Ohno,et al.  Kinematic hardening rules with critical state of dynamic recovery, part II: Application to experiments of ratchetting behavior , 1993 .

[29]  R. Roark,et al.  Roark's Formulas for Stress and Strain , 2020 .

[30]  Steven J. Zinkle,et al.  Materials challenges for ITER - Current status and future activities , 2007 .