On　the　meso-mechanics　level　the　dam　concrete　is　taken　as　the　composite　material　consisting　of　aggregate,　mortar　and　interface　between　them.　A　3-dimensional　finite　element　model　of　the　dam　concrete　specimen　is　generated　with　consideration　of　damage　evolutionary　processes　and　strain-rate　effects　of　the　different　media.　The　numerical　computing　algorithm　and　its　FORTRAN　serial　program　on　PC　computer　for　the　nonlinear　dynamic　analysis　of　dam　concrete　were　developed.　The　loading　procedure　can　be　controlled　either　by　load　or　by　displacement.　In　order　to　reduce　the　degree　of　freedom　of　the　system,　an　artificial　medium　with　mechanical　properties　equivalent　to　the　composite　media　of　the　mortar　and　the　finest　aggregates　were　involved　by　using　multi-scaled　method.　The　numerical　analyses　for　the　specimens　both　of　wet-sieved　and　full-graded　dam　concrete　were　carried　out　to　investigate　the　failure　processes　under　static　and　dynamic　shock　loading.　The　analytical　results　verified　that　the　applied　algorithm　and　its　computer　program　are　correct　and　effective.　Based　on　the　serial　program,　by　using　memory　optimization　for　stiffness　matrix　and　conjugate　gradient　(CG)　algorithm　with　the　preconditioner　of　incomplete　Cholesky　factorization　with　double　threshold　(ICT),　the　parallel　program　for　Sun　Fire　6800　server　was　developed.　The　computing　efficiency　was　raised　remarkably.