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The elastic threshold for strain-gradient plasticity, and comparison of theoretical results with experiments
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SYSNO ASEP 0585818 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The elastic threshold for strain-gradient plasticity, and comparison of theoretical results with experiments Author(s) Reddy, B. D. (ZA)
Sysala, Stanislav (UGN-S) RID, ORCIDNumber of authors 2 Article number 105025 Source Title European Journal of Mechanics A-Solids. - : Elsevier - ISSN 0997-7538
Roč. 104, March–April 2024 (2024)Number of pages 7 s. Publication form Online - E Language eng - English Country NL - Netherlands Keywords dissipative strain-gradient plasticity ; elastic threshold ; lower and upper bounds ; torsion problem ; experimental results Subject RIV BA - General Mathematics OECD category Applied mathematics Method of publishing Limited access Institutional support UGN-S - RVO:68145535 UT WOS 001282541400007 EID SCOPUS 85159874802 DOI https://doi.org/10.1016/j.euromechsol.2023.105025 Annotation This work continues an earlier study, aimed at determining the threshold of elastic behaviour for specimens at the microscale. Given the size-dependent nature of the response the theory makes use of a model of rate-independent strain-gradient plasticity to establish conditions for lower and upper bounds to the threshold. The model is based on a family of yield or dissipation functions. In the earlier work bounds were established for one member of the family, in which the dissipation depends on the root mean square of the magnitude of plastic strain and its gradient. In this work bounds are derived based on a second alternative, in which the dependence is linear. These two alternatives are most relevant in determining length scales through fits to experimental results. The second aim of this work is to carry out comparisons between the bounds obtained theoretically, with experimental data on initial yielding for torsion tests. The correlations are in some cases reasonable, while in others there are discrepancies. Generally they illustrate the complexities – for example in accurate experimental determination of the elastic threshold, and of the length scale – in predicting aspects of behaviour at the microscale. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2025 Electronic address https://www.sciencedirect.com/science/article/pii/S0997753823001171
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