... continuity conditions on the interface inta . The Physical variational principle in the nonlinear electro-magneto-elastic analysis is int int 12 1, 2,int int0()env envqintemem i iVVem ... gg,dipi pVBH u V So 1 in Eq. (59) is reduced to intint int 11 1 1 ,,*, 1, , ,dddd ddd d d 12 d 12 Dkj j k k kj j kaakj j k k k i i e ... directly enclosed in the formula (Kuang, 2008a, 2009a). As shown in previous paper (Kuang, 2 011 a, 2 011 b) and in section 3 .1 the variations of ,,,EH will be distinguished into local and migratory...