Effective elastic behavior of some models for perfect cellular solids

The e}ective elastic behavior of some models for low density cellular solids\ or solid foams\ are calculated using analytical and numerical techniques[ The models are {perfect| in the sense that imperfections or irregularities as often encountered in real foams have been removed[ We believe that the present models can serve as references to which more advanced models which include imperfections and irregularities can be compared[ The work in this paper does not address buckling or yielding in cell walls\ which play an increasingly important role as foam stresses increase