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The Estimation of Taylor-Quinney Coefficients Using Small Ring Specimens

Lavie, W.J.; Rouse, J. P.; Hyde, C. J.

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W.J. Lavie

Assistant Professor


Background: The use of the Taylor-Quinney coefficient for introducing a thermal dissipation term into material models relies on understanding its dependencies. These are usually determined through extensive experimentation, wherein temperature variations are monitored in a test piece during mechanical loading. Objective: This study aims to reduce the cost and time necessary to determining the dependencies of the Taylor-Quinney coefficient by proposing a novel small specimen inverse testing method and demonstrating its use on aluminium alloy 7175. Methods: The method proposed is based on mechanical testing of a novel small ring specimen in parallel with FEA simulations. In the experiments, small rings of 7175-T7351 aluminium alloy, 20 mm in outer diameter, were loaded between two pins for different pin displacement rates (namely 1, 1.5 and 2 mm/s) at room temperature and the local specimen temperature field was monitored using an infra-red thermal camera. Fully coupled thermal-mechanical simulations of the tests were performed using a range of Taylor-Quinney coefficients, and the resulting temperature evolutions compared to the experimental results in order to determine appropriate coefficient values for the material. Results: The method presented shows good repeatability and allows for clear observation of thermal dissipation. Taylor-Quinney values ranging 0.51-0.59 are reported for the 7175 alloy, in line with values reported in the literature for similar alloys. Density, specific heat capacity and thermal conductivity, fundamental thermal material properties necessary for the simulations, are also reported for the alloy. Conclusions: The method detailed shows promise for determining Taylor-Quinney coefficients in a wide range of experimental conditions and is proposed as a cheap and fast alternative to full-scale specimen testing of Taylor-Quinney coefficients. Taylor-Quinney values obtained for 7175 aluminium are shown to be much lower than the value of 0.9 often proposed for materials.

Journal Article Type Article
Acceptance Date Oct 20, 2022
Online Publication Date Dec 5, 2022
Publication Date 2023-03
Deposit Date Jan 6, 2023
Publicly Available Date Jan 6, 2023
Journal Experimental Mechanics
Print ISSN 0014-4851
Electronic ISSN 1741-2765
Peer Reviewed Peer Reviewed
Volume 63
Pages 429-443
Public URL
Publisher URL


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