@inbook{9bb61c3fdb82469a940ec48d08176af9,
title = "Representative Volume Element Size and Length Scale Identification in Generalised Magneto-Elasticity",
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.",
keywords = "Generalised magneto-elastic continuum, Length scale, Magnetorheological elastomers, RVE size, NLA",
author = "Sinan Eraslan and Gitman, {Inna M.} and Mingxiu Xu and Harm Askes and {de Borst}, Ren{\'e}",
note = "Funding Information: Acknowledgements This work was supported by International Graduate Education Scholarship (YLSY) programme funded by The Ministry of National Education of T{\"u}rkiye. Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2023",
doi = "10.1007/978-3-031-26186-2_11",
language = "English",
isbn = "978-3-031-26185-5",
series = "Advanced Structured Materials",
publisher = "Springer",
pages = "159--170",
editor = "Holm Altenbach and Arkadi Berezovski and Francesco Dell'Isola and Alexey Porubov",
booktitle = "Sixty Shades of Generalized Continua",
address = "Germany",
}