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Estimating the Monkman−Grant relation in the presence of errors in measurement of times to failure and minimum creep rates: with application to some high temperature materials

Mark Evans Orcid Logo

Materials at High Temperatures, Pages: 1 - 16

Swansea University Author: Mark Evans Orcid Logo

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DOI (Published version): 10.1080/09603409.2024.2377497

Abstract

The Monkman-Grant relation has the potential to reduce the development cycle for new materials, as it provides a means of lifing based on minimum creep rates that are typically observed early on. This paper outlines problems in estimating the nature of this relation using the least squares technique...

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Published in: Materials at High Temperatures
ISSN: 0960-3409 1878-6413
Published: Informa UK Limited 2024
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa66985
Abstract: The Monkman-Grant relation has the potential to reduce the development cycle for new materials, as it provides a means of lifing based on minimum creep rates that are typically observed early on. This paper outlines problems in estimating the nature of this relation using the least squares technique that stems from errors made in measuring failure times and minimum creep rates. The paper outlines some solutions to this problem that have been proposed within the scientific literature – such as reverse regression and the Deming regression. The evidence from the materials studied in this paper, suggest that the use of least squares results in overly conservative lifetime predictions when using the Monkman-Grant relation. It was found that for 2.25Cr-1Mo steel, the life expected for a minimum creep rate of 3.67E-12s- 1 was 57 years when the least squares technique was used, but this increased to 78 years when using the Deming regression.
Keywords: Monkman-Grant relation; measurement errors; least squares; total least squares; Deming regression
College: Faculty of Science and Engineering
Funders: Swansea University
Start Page: 1
End Page: 16

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