4.7 Article

Finite element implementation of a multi-scale dynamic piezomagnetic continuum model

期刊

COMPUTERS & STRUCTURES
卷 240, 期 -, 页码 -

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2020.106352

关键词

Piezomagnetism; Wave propagation; Generalised continuum; Length scale; Multiscale modelling; Wave dispersion

资金

  1. Royal Society [IEC/NSFC/181377]
  2. National Natural Science Foundation of China under the International Exchanges scheme [11911530176]
  3. EU H2020-MSCA-RISE-2016 project FRAMED [734485]

向作者/读者索取更多资源

A gradient-enriched dynamic piezomagnetic model is presented. The gradient enrichment introduces a number of microstructural terms in the model that allow the description of dispersive wave propagation. A novel derivation based on homogenisation principles is shown to lead to a multi-scale formulation in which the micro-scale displacements and magnetic potential are included alongside the macro-scale displacements and magnetic potential. The multi-scale formulation of the model has the significant advantage that all higher-order terms are rewritten as second-order spatial derivatives. As a consequence, a standard C-0-continuous finite element discretisation can be used. Details of the finite element implementation are given. A series of one and two-dimensional examples shows the effectiveness of the model to describe dispersive wave propagation and remove singularities in a coupled elasto-magnetic context. (C) 2020 Elsevier Ltd. All rights reserved.

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