Recent Advances in Creep Modelling Using the <i>θ</i> Projection Method

The theta projection method has been used to predict uniaxial creep curve shapes for a wide range of materials. However, one of the criticisms of the existing method is that the multilinear approach, commonly used to correlate theta parameters to applied test conditions, does not extrapolate well ov...

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Main Author: William Harrison
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Metals
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Online Access:https://www.mdpi.com/2075-4701/14/12/1395
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author William Harrison
author_facet William Harrison
author_sort William Harrison
collection DOAJ
description The theta projection method has been used to predict uniaxial creep curve shapes for a wide range of materials. However, one of the criticisms of the existing method is that the multilinear approach, commonly used to correlate theta parameters to applied test conditions, does not extrapolate well over a full range of creep conditions, due to not accounting for changes in creep mechanisms. This is particularly important for evaluating the creep behaviour of structural engineering components that operate in an environment in which a wide range of stress and/or temperatures exist during their service life. This study uses the theta projection method to evaluate creep curves for the nickel-based superalloy, Waspaloy, over a range of test conditions, considering changes in observed dominant creep mechanisms. A clear break in the trend of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>θ</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>θ</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></semantics></math></inline-formula> with respect to stress is observed, indicating that a change in mechanism is important for tertiary creep. Using a power law approach along with optimisation algorithms, the residual error between predicted and experimentally observed creep curves is reduced. With more accurate prediction of creep curves, creep rates throughout the duration of creep can be more accurately calculated, providing the basis of more accurate computational creep models.
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spelling doaj-art-6fe4e1323e1c4fd7bbf557df26130a852025-08-20T02:00:39ZengMDPI AGMetals2075-47012024-12-011412139510.3390/met14121395Recent Advances in Creep Modelling Using the <i>θ</i> Projection MethodWilliam Harrison0Department of Mechanical Engineering, Faculty of Science and Engineering, Swansea University, Swansea SA1 8EN, UKThe theta projection method has been used to predict uniaxial creep curve shapes for a wide range of materials. However, one of the criticisms of the existing method is that the multilinear approach, commonly used to correlate theta parameters to applied test conditions, does not extrapolate well over a full range of creep conditions, due to not accounting for changes in creep mechanisms. This is particularly important for evaluating the creep behaviour of structural engineering components that operate in an environment in which a wide range of stress and/or temperatures exist during their service life. This study uses the theta projection method to evaluate creep curves for the nickel-based superalloy, Waspaloy, over a range of test conditions, considering changes in observed dominant creep mechanisms. A clear break in the trend of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>θ</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>θ</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></semantics></math></inline-formula> with respect to stress is observed, indicating that a change in mechanism is important for tertiary creep. Using a power law approach along with optimisation algorithms, the residual error between predicted and experimentally observed creep curves is reduced. With more accurate prediction of creep curves, creep rates throughout the duration of creep can be more accurately calculated, providing the basis of more accurate computational creep models.https://www.mdpi.com/2075-4701/14/12/1395creepsuperalloystheta projection method
spellingShingle William Harrison
Recent Advances in Creep Modelling Using the <i>θ</i> Projection Method
Metals
creep
superalloys
theta projection method
title Recent Advances in Creep Modelling Using the <i>θ</i> Projection Method
title_full Recent Advances in Creep Modelling Using the <i>θ</i> Projection Method
title_fullStr Recent Advances in Creep Modelling Using the <i>θ</i> Projection Method
title_full_unstemmed Recent Advances in Creep Modelling Using the <i>θ</i> Projection Method
title_short Recent Advances in Creep Modelling Using the <i>θ</i> Projection Method
title_sort recent advances in creep modelling using the i θ i projection method
topic creep
superalloys
theta projection method
url https://www.mdpi.com/2075-4701/14/12/1395
work_keys_str_mv AT williamharrison recentadvancesincreepmodellingusingtheithiprojectionmethod