DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Data-Driven Surrogate Modeling with Microstructure-Sensitivity of Viscoplastic Creep in Grade 91 Steel

Journal Article · · Integrating Materials and Manufacturing Innovation

Abstract To support the development of advanced steel alloys tailored to withstand extreme conditions, it is imperative to account for the mechanical performance of components, while considering the influence of local microstructure on the macroscopic response. To this end, this study focuses on the development of microstructure-sensitive constitutive models for the mechanical response of Grade 91 steel exposed to extreme thermo-mechanical environments. Polynomial chaos expansion (PCE) surrogates are used to emulate high-fidelity polycrystal simulations of the viscoplastic response of Grade 91 steel as a function of the microstructure fingerprint (e.g., dislocations and precipitates). To cover a wide temperature–stress domain, two separate PCE surrogates—one that captures softening and the other that captures hardening behavior—are combined using another (sparse) Gaussian process regression model. The resulting constitutive creep surrogate model is integrated within the MOOSE finite element framework to simulate the intricate effects of microstructure, in particular MX-phase precipitates, on a component with a graded microstructure. Surrogate sensitivity analysis is applied to quantify the relevant impact of spatially varying microstructure on the creep response in a test-case involving a Grade 91 alloy with a prototypical weld.

Sponsoring Organization:
USDOE Office of Nuclear Energy (NE)
OSTI ID:
2476430
Journal Information:
Integrating Materials and Manufacturing Innovation, Journal Name: Integrating Materials and Manufacturing Innovation Journal Issue: 4 Vol. 13; ISSN 2193-9764
Publisher:
Springer Science + Business MediaCopyright Statement
Country of Publication:
Germany
Language:
English

References (72)

Computational Approaches for Aerospace Design book January 2005
Engineering Design via Surrogate Modelling book January 2008
Stochastic Finite Elements: A Spectral Approach book January 1991
The Nature of Statistical Learning Theory book January 2000
Gaussian Processes in Machine Learning book January 2004
Interpolation of scattered data: Distance matrices and conditionally positive definite functions journal December 1986
Metamodels for Computer-based Engineering Design: Survey and recommendations journal July 2001
Surrogate-assisted global sensitivity analysis: an overview journal January 2020
Surrogate modeling: tricks that endured the test of time and some recent developments journal July 2021
An efficient data generation method for ANN-based surrogate models journal February 2022
libMesh : a C++ library for parallel adaptive mesh refinement/coarsening simulations journal November 2006
Globally supported surrogate model based on support vector regression for nonlinear structural engineering applications journal October 2022
Recent advances and applications of surrogate models for finite element method computations: a review journal July 2022
Creep failure model of a tempered martensitic stainless steel integrating multiple deformation and damage mechanisms journal May 2005
Modelling and experimental study of the tertiary creep stage of Grade 91 steel journal February 2011
Effect of carbon concentration on precipitation behavior of M23C6 carbides and MX carbonitrides in martensitic 9Cr steel during heat treatment journal April 2004
Microstructural stability of 9–12%Cr ferrite/martensite heat-resistant steels journal March 2013
Microstructure informatics using higher-order statistics and efficient data-mining protocols journal April 2011
Surrogate Modeling of Viscoplasticity in Steels: Application to Thermal, Irradiation Creep and Transient Loading in HT-9 Cladding journal October 2020
Data-Driven Constitutive Model for the Inelastic Response of Metals: Application to 316H Steel journal October 2020
Dimensionality Reduction in Surrogate Modeling: A Review of Combined Methods journal August 2022
Multislip in f.c.c. crystals a theoretical approach compared with experimental data journal August 1982
Analysis of creep in a welded ‘P91’ pressure vessel journal January 1994
A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys journal September 1993
Analysis of the creep behaviour of modified P91 (9Cr–1Mo–NbV) welds journal September 2002
Effect of weld angle and axial load on the creep failure behaviour of an internally pressurised thick walled CrMoV pipe weld journal May 2001
Applicability and comparison of surrogate techniques for modeling of selected heating problems journal November 2019
A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality journal June 2017
A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics journal June 2021
De novo composite design based on machine learning algorithm journal January 2018
Fracture in multi-phase materials: Why some microstructures are more critical than others journal January 2017
Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements journal January 2012
A study of the creep behavior of modified 9Cr–1Mo steel using continuum-damage modeling journal October 2012
Stress and strain relaxation in magnesium AZ31 rolled plate: In-situ neutron measurement and elastic viscoplastic polycrystal modeling journal April 2016
A crystal plasticity model based on transition state theory journal June 2017
Applied machine learning to predict stress hotspots I: Face centered cubic materials journal December 2018
Applied machine learning to predict stress hotspots II: Hexagonal close packed materials journal March 2019
A mechanistic model for creep lifetime of ferritic steels: Application to Grade 91 journal December 2021
Microstructure-sensitive modeling of high temperature creep in grade-91 alloy journal November 2022
Finite-element creep damage analyses of P91 pipes journal November 2006
New low alloy heat resistant ferritic steels T/P23 and T/P24 for power plant application journal January 2007
Microstructure and long-term creep properties of 9–12% Cr steels journal January 2008
Modelling creep behaviour and failure of 9Cr–0.5Mo–1.8W–VNb steel journal August 2009
Integration of self-consistent polycrystal plasticity with dislocation density based hardening laws within an implicit finite element framework: Application to low-symmetry metals journal October 2013
Ferritic/martensitic steels for next-generation reactors journal September 2007
Creep deformation mechanisms in modified 9Cr–1Mo steel journal April 2012
Effect of welding on creep damage evolution in P91B steel journal July 2017
Microstructural evolution in T24, a modified 2(1/4)Cr–1Mo steel during creep after different heat treatments journal June 2009
A physically-based creep damage model for effects of different precipitate types journal January 2017
High temperature creep flow and damage properties of 9Cr1MoNbV steels: Base metal and weldment journal December 2005
Finite element simulation of gap opening between cladding tube and spacer grid in a fuel rod assembly using crystallographic models of irradiation growth and creep journal April 2017
Surrogate-based analysis and optimization journal January 2005
Recent advances in surrogate-based optimization journal January 2009
Global sensitivity analysis using polynomial chaos expansions journal July 2008
3.0 - MOOSE: Enabling massively parallel multiphysics simulations journal May 2024
Surrogate-assisted evolutionary computation: Recent advances and future challenges journal June 2011
A hybrid finite element and surrogate modelling approach for simulation and monitoring supported TBM steering journal March 2017
Creep-strengthening of steel at high temperatures using nano-sized carbonitride dispersions journal July 2003
Machine-learned multi-system surrogate models for materials prediction journal April 2019
Effects of Precipitates Evolution on Low Stress Creep Properties in P92 Heat-resistant Steel journal October 2018
A Model for Boundary Diffusion Controlled Creep in Polycrystalline Materials journal June 1963
Deep learning predicts path-dependent plasticity journal December 2019
Molecular dynamics study of self-diffusion in bcc Fe journal October 2009
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal January 2002
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics journal January 2009
Welding and weldability of candidate ferritic alloys for future advanced ultrasupercritical fossil power plants journal November 2013
Quantitative analysis of stability of 9%Cr steel microstructure after long-term ageing journal March 2017
The Homogeneous Chaos journal October 1938
Advances in Physical Metallurgy and Processing of Steels. Strengthening Mechanisms of Creep Resistant Tempered Martensitic Steel. journal January 2001
Precipitate Stability in Creep Resistant Ferritic Steels-Experimental Investigations and Modelling. journal January 2003
Modelling high temperature creep flow, damage and fracture behaviour of 9Cr1Mo–NbV steel weldments journal September 2008
Interpretable Calibration of Crystal Plasticity Model Using a Bayesian Surrogate-Assisted Genetic Algorithm journal January 2023