Development of empirical equations for prediction of modulus of elasticity for monodisperse metallic foams

Metallic foams are a class of lightweight materials that show high potential fordierent industrial applications such as automotive and aerospace engineering. however,many factors have prevented metallic foams from being fully utilized in industrialapplications. one main factor is that the inuences of the porous structure on themechanical properties of metallic foams are not well known yet. in this paper, a niteelement model was used to analyze monodisperse closed cell aluminum foam in order todetermine the relationship between its elastic modulus, porosity and pore diameter, and anonlinear relationship was found between them. in this regard, an empirical equation wasdeveloped and implemented for the prediction of modulus of elasticity versus porosity andpore diameter. comparing experimental and analytical approaches by other researcherswith those obtained in this research shows that agreement exists within 1 to 3 percent.therefore, this model could be further used for other porous structures. it was also foundthat a similar empirical equation with new coecients can also be used to predict themodulus of elasticity of cast iron and steel foams.