Abstract
A generalised magneto-elastic continuum model with gradients of strain, magnetic field, and piezo-magnetic coupling terms has been discussed in this study. Characteristic length scale parameters, accompanying the higher order components in the model, have been identified in terms of representative volume element (RVE) sizes, in order to introduce the microstructural information to material properties on the macro-level. Following this qualitative definition, a quantitative determination, and the analysis of RVE sizes in different physical phenomena, a RVE and, hence, length-scale enriched generalised gradient magneto-elastic continuum model has been employed in a benchmark numerical example demonstrating the removal of singularities from magnetic and mechanical fields.
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This work was supported by International Graduate Education Scholarship (YLSY) programme funded by The Ministry of National Education of Türkiye.
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Eraslan, S., Gitman, I.M., Xu, M., Askes, H., de Borst, R. (2023). Representative Volume Element Size and Length Scale Identification in Generalised Magneto-Elasticity. In: Altenbach, H., Berezovski, A., dell'Isola, F., Porubov, A. (eds) Sixty Shades of Generalized Continua. Advanced Structured Materials, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-031-26186-2_11
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