The　dynamic　responses　and　blast　resistance　of　all-metallic　sandwich-walled　hollow　cylinders　with　graded　aluminum　foam　cores　are　investigated　using　finite　element　simulations,　and　compared　with　those　of　conventional　ungraded　ones.　After　validating　the　numerical　approach　and　introducing　the　computational　model,　sandwich-walled　hollow　cylinders　with　various　graded　aluminum　foam　cores　are　analyzed　under　air　blast　loading.　It　is　demonstrated　that　the　radial　deflection　of　graded　cylinders　is　smaller　than　and　the　blast　resistance　superior　to　that　of　ungraded　ones　when　subjected　to　identical　air　blast　loading.　This　can　be　further　improved　by　optimizing　the　foam　core　arrangement.　Finally,　the　influence　of　face-sheet　arrangements　on　the　dynamic　behavior　of　graded　cylinders　is　explored.　(c)　2012　Elsevier　Ltd.　All　rights　reserved.