The　physical　mechanisms　underlying　the　beneficial　effect　of　filling　aluminum　foams　into　the　interstices　of　corrugated　plates　made　of　stainless　steel　were　explored　with　finite　element　(FE)　simulations.　Relative　to　unfilled　corrugated　plates　of　equal　mass,　this　effect　was　assessed　on　the　basis　of　elevated　peak　stress　and　enhanced　energy　absorption　under　quasistatic　out-of-plane　compression.　Upon　validating　the　FE　predictions　against　existing　measurements,　the　influence　of　key　geometrical　and　material　parameters　on　the　compressive　response　of　foam-filled　corrugated　plates　was　investigated.　Different　from　the　traditional　buckling　modes　of　empty　corrugations,　four　new　buckling　modes　were　identified　for　foam-filled　corrugations.　Based　upon　these　deformation　modes　of　post-buckling,　collapse　mechanism　maps　were　constructed.　Due　to　the　additional　resistance　provided　by　foam　filling　against　buckling　of　the　corrugated　plate　and　the　strengthening　of　foam　insertions　due　to　complex　stressing,　both　the　load　bearing　capacity　and　energy　absorption　of　foam-filled　sandwiches　were　greatly　enhanced.