Theproblemconsideredhereistheresponseofanon-homogeneouscompositematerialcontainingsomecrackssubjectedtodynamicloading.Itisassumedthatthecompositematerialisor-thotropicandallthematerialpropertiesdependonlyonthecoordinatey(alongthethicknessdirection).Intheanalysis,theelasticregionispidedintoanumberofpliesofinfinitelength.Thematerialpropertiesaretakentobeconstantsforeachply.ByutilizingtheLaplacetransformandFouriertransformtechnique,thegeneralsolutionsforpliesarederived.Thesingularintegralequa-tionsoftheentireelasticregionareobtainedandsolvedbythevirtualdisplacementprinciple.Attentionisfocusedonthetime-dependentfullfieldsolutionsofstressintensityfactor(SIF)andstrainenergyreleaserate.Asanumericalillustration,thedynamicstressintensityfactorofasubstrate\functionallygradedfilmstructurewithtwocracksundersuddenlyappliedforcesoncracksfacearepresentedforvariousmaterialnon-homogeneityparameters.
