Representative Volume Element Size and Length Scale Identification in Generalised Magneto-Elasticity

Sinan Eraslan*, Inna M. Gitman, Mingxiu Xu, Harm Askes, René de Borst

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review


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.

Original languageEnglish
Title of host publicationSixty Shades of Generalized Continua
Subtitle of host publicationDedicated to the 60th Birthday of Prof. Victor A. Eremeyev
EditorsHolm Altenbach, Arkadi Berezovski, Francesco Dell'Isola, Alexey Porubov
Number of pages12
ISBN (Electronic)978-3-031-26186-2
ISBN (Print)978-3-031-26185-5, 978-3-031-26188-6
Publication statusPublished - 2023

Publication series

NameAdvanced Structured Materials
ISSN (Print)1869-8433
ISSN (Electronic)1869-8441


  • Generalised magneto-elastic continuum
  • Length scale
  • Magnetorheological elastomers
  • RVE size
  • NLA


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