This　paper　aims　to　gain　a　deeper　insight　into　the　effects　of　the　poling　directions,　the　volume　fractions　and　the　combined　loading　parameters　on　the　dynamic　field　intensity　factors　at　the　interfacial　crack-tips　in　two　dimensional,　piecewise　homogeneous　and　magnetoelectroelastic　composite　bi-materials　under　the　combined　magnetoelectromechanical　impact　loadings.　For　this　purpose,　a　time-domain　boundary　element　method　(BEM)　together　with　the　sub-domain　technique　is　applied.　The　present　time-domain　BEM　uses　a　quadrature　formula　for　the　temporal　discretization　to　approximate　the　convolution　integrals　and　a　collocation　method　for　the　spatial　discretization.　Quadratic　quarter-point　elements　are　implemented　at　the　interfacial　crack-tips.　An　explicit　displacement　extrapolating　formula　is　proposed　to　determine　the　dynamic　field　intensity　factors　of　stresses,　electrical　displacements　and　magnetic　inductions　at　the　interfacial　crack-tips.　Numerical　examples　for　different　poling　directions,　different　volume　fractions　and　different　combined　loading　parameters　are　presented　and　discussed.　Based　on　these　numerical　results,　some　useful　conclusions　are　drawn　on　the　effects　of　various　material　and　loading　combinations　on　the　dynamic　field　intensity　factors.　(C)　2014　Elsevier　Masson　SAS.　All　rights　reserved.