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.