Authors:
Afshin Anssari-Benam Queen Mary, University of London Department of Engineering, School of Engineering and Materials Science Mile End Road London E1 4NS UK

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Giuseppe Viola Queen Mary, University of London Department of Materials, School of Engineering and Materials Science Mile End Road London E1 4NS UK

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Theodosios Korakianitis Queen Mary, University of London Department of Engineering, School of Engineering and Materials Science Mile End Road London E1 4NS UK

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Abstract  

This paper presents a phenomenological model of dissipative losses manifested as heat transfer effects in small linear deformations of solid continua. The impetus is the need for a unified theory characterizing heat transfer effects (called “stretching calorimetry” in the literature) on the mechanics of deformations from a macroscopic point of view, overcoming the fragmentary description of these thermodynamic effects in the available literature. The model is based on derivation of mathematical expressions that quantify the contribution of the heat transfer effects and of the mechanical work in small linear deformations. The formulation has been developed by considering the Gibbs’ free energy and the entropy functions of the body under deformation and applying the energy balance to the continuum. The model has been compared to available experimental data of measurements of such heat effects in linear deformations (“stretching calorimetry”) of a broad range of materials. Results are presented by illustrating force-elongation values under the Hooke’s law, the proposed model, and the experimental data. The calculated model results show excellent agreement with the reported experimental data, for all the different classes of materials considered.

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Journal of Thermal Analysis and Calorimetry
Language English
Size A4
Year of
Foundation
1969
Volumes
per Year
1
Issues
per Year
24
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 1388-6150 (Print)
ISSN 1588-2926 (Online)

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