Mathematical justification of the apparition of the electromagnetic coupling

Advances in Difference Equations

Thibaut Weller¹  Christian Licht²  Somsak Orankitjaroen³ 

[1] 0000 0001 2097 0141, grid.121334.6, LMGC-UMR 5508, Université de Montpellier-CC048, Montpellier, France;0000 0004 1937 0490, grid.10223.32, Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand;0000 0001 2097 0141, grid.121334.6, LMGC-UMR 5508, Université de Montpellier-CC048, Montpellier, France;Centre of Excellence in Mathematics, CHE, Bangkok, Thailand;0000 0004 1937 0490, grid.10223.32, Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand;Centre of Excellence in Mathematics, CHE, Bangkok, Thailand;

关键词: Homogenization;    Two-scale convergence;    Piezoelectricity;    Piezomagnetism;   

DOI  :  10.1186/s13662-019-2126-0

来源: publisher

【 摘 要 】

By using the asymptotic analysis method as regards two-scale convergence we derive the effective behavior of a fine mixing of piezoelectric material and piezomagnetic material. It can be shown that an electromagnetic coupling arises only when each phase is connected and the interface is electrically and magnetically impermeable.

【 授权许可】

CC BY