The extended bond graph (EBG) method is used to model the distributed
coupled magnetoelastic effects of general magnetostrictive continua. T
he mechanical and magnetic fields are described in terms of defined di
splacement and momentum states, and Galerkin's discretization techniqu
e is applied to reticulate the dynamics of the fields into power flows
which are defined as the inner products of extended efforts and flows
. The power-based EBG descriptions are consistently used to represent
the discretized inertia, compliance, reluctance, coupled fields, and e
xternal sources of the magnetostrictive continua. The power bonds asso
ciated with the multienergetic fields are directed separately to the m
agnetic and mechanical energetic domains to enforce energy conservatio
n laws. Details of the development of the general formulation for the
model are provided. The EBG network model provides a unified way to an
alyze the coupling effects and dynamics of complex systems using gener
al magnetostrictive continua.