Advanced structural analysis for the UK nuclear renaissance

Lead Research Organisation: University of Bristol
Department Name: Mechanical Engineering

Abstract

Nuclear power reactors contain large steel pressure vessels and high-pressure pipework which must be carefully designed and regularly inspected when they are service to guarantee safety. When a reactor is operating, these systems are loaded not just by internal pressure, but also by thermal stresses which arise from temperature gradients, and by residual stresses which are 'locked-in' during construction. Thermal and residual stresses are often termed 'secondary' stresses and they are generally more difficult to measure and predict than the stresses which result from directly applied forces. Often, this means that parts which are in fact safe are pre-emptively taken out of service due to secondary stress concerns, incurring large costs in addition to plant downtime.

In this project, new techniques will be developed to accurately predict how complex and multi-axial secondary stresses in components behave as they are further stressed in-service. This will require the development of a generalised mathematical framework to describe multi-axial stress relaxation, along with new computational methods to enable the analysis of complicated real-world structures. The predictive accuracy of the new analysis techniques will be tested in a series of experiments using neutron and synchrotron diffraction to observe how residual stresses deep inside metallic components change as they are subjected to changing external loads. The analysis techniques developed during this project will be integrated with existing structural integrity assessment procedures, allowing them to be readily used in industry, and leading to cheaper and more reliable power plants.

Planned Impact

Firstly, the outcomes of this research will benefit organisations involved in the design, construction, operation and maintenance of nuclear reactors in the UK and worldwide. Prominent examples include EDF Energy plc, AMEC plc, and the Ministry of Defense. The results generated and the techniques developed during this project will allow such organisations to make more accurate safety assessments of the high-dependability structures necessary for this type of power generation. This applies to both the initial design of such structures, and to subsequent assessments later in the life of the reactor. The availability of more accurate assessment methods will reduce both the capital and operational costs of nuclear power generation to the operator and, ultimately, to energy consumers. This is important in the context of the 2008 Climate Change Act, under which the Government of the UK has a duty to reduce greenhouse gas emissions: nuclear generation is one means of providing low carbon base load electricity supply, and lowering the associated costs will help to keep this important option open as the Government seeks to rebalance the nation's energy mix.

Other companies and organisations whose business involves the analysis of structures which contain thermal and residual stresses will also benefit from this work. These include, for example, companies engaged in the manufacture of welded or forged aerospace components, the construction and installation of welded offshore structures, and the use of large chemical reaction vessels and high-pressure pipework. These organisations will have available a more accurate means of analysing the integrity of their products, allowing them to design better, cheaper goods and to avoid unnecessary pre-emptive component replacement. Hence, the outcomes of this research will make such organisations more efficient and more economically competitive.

In addition to any direct material benefits, this work will profoundly change the current scientific understanding of secondary stress relaxation. It will consolidate and extend two key concepts used to describe the behaviour of residual and thermal stresses (eigenstrain and elastic follow-up) which will allow a complete formulation of stress relaxation behaviour under general boundary conditions to be developed for the first time. The modelling techniques that will be enabled by this and developed during the project will deliver new insights into the behaviour of materials undergoing failure processes including plasticity, stable fracture and creep. Ultimately, this will allow researchers to better understand the seemingly uncharacteristic behaviours that materials can exhibit under the complex and multiaxial conditions which exist in real structures. The later stages of the project will focus on applying the techniques developed to the assessment of structural integrity at the macro-scale. However, these techniques will be completely general and will consequently have wide-ranging scientific implications including, for example, in understanding the micro-mechanics of multi-phase polycrystalline materials. Further details of this are outlined in the Case for Support.

Publications

10 25 50
 
Description We have shown for the first time that residual (or "locked-in") stresses not only affect how fracture in material initiates, but that they also affect how cracks grow in quasi-ductile materials such as metals. We have also introduced new ways to model and experimentally observe this type of material failure.

This is important for how structures such as pressure vessels inside nuclear power stations and oil & gas installations are assessed for safety by engineers. Our research has led to better methods for structural integrity assessment. For example, our models of the interaction between structural flaws are now being used to improve the integrity assessment procedures R6 (used by the UK nuclear industry) and BS7910 (used by other UK industries including process chemicals and oil &gas).
Exploitation Route Our discoveries in fracture mechanics have given novel insights into how non-brittle materials fail when they are subjected to thermal shock and/or residual stresses. Some of these discoveries have suggested ways to achieve better prediction of failure for safety-critical engineering components. This is currently being taken forward in a PhD studentship at Bristol funded by Frazer Nash Consultancy.

Our findings on flaw interaction are currently being used directly to improve structural integrity assessment procedures - work done as part of this fellowship has already been used to make improvements to the forthcoming 2019 revision of British Standard BS 7910. Our work on residual stress analysis of rolled welds has two fields of application. Firstly, it could be used to design better manufacturing processes which optimally improve the residual stress state in welds. Secondly, with this work made a significant technical contribution to residual stress measurement methods; this could be used by other researchers for 3D stress field mapping.
Sectors Aerospace, Defence and Marine,Energy,Manufacturing, including Industrial Biotechology,Transport

 
Description Findings have been used to inform improvements to the British Standard BS7910 ("Guide to methods for assessing the acceptability of flaws in metallic structures"). This standard has thousands of industrial users. The improvements stemming from our work will allow engineers to perform more accurate safety assessment of large structures. By allowing extensions to the serviceable lifetime of expensive capital plant, this will provide economic benefit.
First Year Of Impact 2018
Sector Aerospace, Defence and Marine,Chemicals,Energy,Manufacturing, including Industrial Biotechology,Transport
Impact Types Economic

 
Description PhD Sponsorship Call 2016: Research in Structural Integrity and Systems Performance
Amount £46,000 (GBP)
Organisation National Structural Integrity Research Centre 
Sector Public
Country United Kingdom
Start 11/2016 
End 11/2019
 
Description SINE: Securing Independent Nuclear Expertise
Amount £605,692 (GBP)
Organisation Frazer-Nash Consultancy 
Sector Private
Country United Kingdom
Start 04/2017 
End 10/2020
 
Description University of Bristol Faculty Pump-Priming
Amount £5,000 (GBP)
Organisation University of Bristol 
Sector Academic/University
Country United Kingdom
Start 01/2018 
End 07/2018
 
Description University of Bristol Strategic Research Fund
Amount £23,000 (GBP)
Organisation University of Bristol 
Sector Academic/University
Country United Kingdom
Start 11/2017 
End 07/2018
 
Title Effects of residual stress on elastic-plastic fracture - FEA, ND and DIC results 
Description This dataset relates to fracture toughness tests performed on specimens of aluminium alloy 7475-T7351. It comprises measurement data from Neutron Diffraction (ND) and Digital Image Correlation (DIC), in addition to results from Finite Element Analysis (FEA). The dataset accompanies the article "The effects of residual stress on elastic-plastic fracture propagation and stability" published in Materials and Design. 
Type Of Material Database/Collection of data 
Year Produced 2018 
Provided To Others? Yes  
Impact Underpinning data for paper in Materials & Design. First direct observation of this phenomenon. 
URL https://doi.org/10.5523/bris.2hzzpi1of2n3j2mc3lqs5k2ywe
 
Title Interacting surface defects FEA results 
Description Results from finite element models of interacting dissimilar semi-elliptical surface cracks in a plate. They are intended to allow the study of the interaction between closely-spaced defects for application in fracture mechanics and structural integrity assessment. 
Type Of Material Database/Collection of data 
Year Produced 2016 
Provided To Others? Yes  
Impact Improved understanding of defect interaction for the purpose of structural integrity assessment. 
URL http://data.bris.ac.uk/data/dataset/wemj6fzqe5b61n2azn5f7jaxy
 
Title Interaction of crack-like defects in ductile fracture FEA results 
Description Finite element models of cracks in a cylindrical pressure vessel. This dataset has been used to study how the interaction of cracks affects crack initiation in non-brittle materials. 
Type Of Material Database/Collection of data 
Year Produced 2018 
Provided To Others? Yes  
Impact The results in this dataset highlighted possible non-conservationism in current structural integrity assessment standards. The relevant part of the British Standard BS7910 assessment standard is now being revised. 
URL https://doi.org/10.5523/bris.1qodyli8i6ajt1yiaycfsoqdbs
 
Title Localised strain-hardening and its effect on tearing resistance of ductile steel 
Description Data from experiments and computer modelling used to study the effect of localised prior strain-hardening on tearing resistance in a ductile ferritic steel. 
Type Of Material Database/Collection of data 
Year Produced 2018 
Provided To Others? Yes  
 
Title Multiaxial creep stress relaxation in 316H stainless steel 
Description Metals such as Type 316H stainless steel are vulnerable to creep deformation when used in high-temperature service. This dataset contains numerical models and experimental results used to validate a multi-axial creep deformation law for 316H. 
Type Of Material Database/Collection of data 
Year Produced 2020 
Provided To Others? Yes  
URL https://data.bris.ac.uk/data/dataset/rhg1bk2424a6262ecb9nouzp9/
 
Title Reflectance Transformation Imaging of material failure surfaces 
Description This dataset contains images of material and component failure surfaces, as well as surface texture maps derived from these images, generated using Reflectance Transformation Imaging. It accompanies the paper: H. E. Coules, P. J. Orrock and C. E. Seow, "Reflectance Transformation Imaging as a tool for engineering failure analysis" in Engineering Failure Analysis 
Type Of Material Database/Collection of data 
Year Produced 2019 
Provided To Others? Yes  
 
Title Surface cracks subjected to non-uniform stress FEA results 
Description Weight function coefficients for determining the interaction between multiple surface defects in plates and pressure vessels, determined using parametric FEA. 
Type Of Material Database/Collection of data 
Year Produced 2017 
Provided To Others? Yes  
Impact Pre-calculated solutions in this dataset allow engineers to analyse interacting defects under thermal shock and residual stress conditions far more easily than previously possible. May be incorporated into future revisions of structural integrity assessment standards (eg. R6, BS7910). 
URL https://doi.org/10.5523/bris.4ny4i61p5pfn2dqwbeflxvmgv
 
Title int_defects toolbox v1.2.0 
Description int_defects is a toolbox for MATLAB which automates parametric finite element studies of structures containing crack-like flaws. It is free and open-source software distributed under the terms of the MIT license (see included license file). int_defects is described in the paper: H. E. Coules & M. A. Probert, "Studying the interaction of crack-like flaws using the MATLAB toolbox int_defects", Engineering Fracture Mechanics. Further details of the scope and capabilities of the toolbox are given in the User Guide which is included with this distribution. 
Type Of Material Database/Collection of data 
Year Produced 2019 
Provided To Others? Yes  
 
Title int_defects usage and validation examples 
Description This dataset contains results of parametric finite element studies of structures containing crack-like flaws. All of the examples were created using the int_defects toolbox for MATLAB, which was designed for automating parametric finite element of this type. This toolbox and these associated examples are described in the following article: H. E. Coules & M. A. Probert, "Studying the interaction of crack-like flaws using the MATLAB toolbox int_defects", Engineering Fracture Mechanics. 
Type Of Material Database/Collection of data 
Year Produced 2019 
Provided To Others? Yes  
 
Description Creep mechanics of P92 steel under stress relaxation conditions 
Organisation University of Strathclyde
Country United Kingdom 
Sector Academic/University 
PI Contribution Perfomed high-temperature creep tests on specimens of P92 ferritic-martensitic steel. Performed in-situ neutron diffraction analysis of the material at ISIS Pulsed Neutron Source, and carried out data analysis linked to these tests.
Collaborator Contribution Analysis of creep data, microstructural analysis and characterisation of material.
Impact No outcomes so far - experiments still underway.
Start Year 2016
 
Description Improvement of BS7910 flaw interaction criteria 
Organisation Shell International Petroleum
Department Shell UK Ltd
Country United Kingdom 
Sector Private 
PI Contribution Finite element of modelling of interacting flaws in pressure vessels. These are being used to improve the structural integrity assessment standard BS7910. Joint reports have been made to the standards-setting committee.
Collaborator Contribution Analysis of finite element modelling data provided by Bristol. Validation of flaw interaction criteria using the modelling results.
Impact Series of joint reports to BS 7910 fracture panel. Joint presentation at "Mind the Gap" conference on assessment technology (2017). Single-discipline collaboration (mechanical engineering).
Start Year 2017
 
Title int_defects toolbox 
Description int_defects is a toolbox for MATLAB designed to help mechanical engineers investigate the interactions between co-planar crack-like flaws in structures. It uses the Abaqus Finite Element Analysis (FEA) package to create and solve models of single flaws and pairs of flaws in plates and pipes of finite thickness. The results can be used to predict the initiation of fracture or plastic collapse. int_defects allows large parametric series of models of interacting cracks to be generated and solved automatically. It also contains functions for automatic post-processing, calculation of interaction factors and plotting of the results. 
Type Of Technology Software 
Year Produced 2019 
Open Source License? Yes  
Impact Improvement of flaw interaction criteria in the British Standard BS 7910 ("Guide to methods for assessing the acceptability of flaws in metallic structures"). 
URL https://doi.org/10.5523/bris.2s1zavsbkctna2bnh6g6os9n2k