Young’s Modulus of Metal Foams Based on Resonance Frequencies

Estimating the mechanical properties of metal foams is becoming important in developing new materials and advancing new manufacturing processes. Among various mechanical properties, effective Young’s modulus as one of the key properties may be evaluated through several measurement methods, but because of some limitations, merely a few techniques can be used in each application. Metal foam as a novel conventional material is one of the significant materials with limited methods for effective Young’s modulus measurement. Recently, several empirical relationships have been developed between effective Young’s modulus and metal foam’s porosity to estimate its elasticity based on the material’s relative density. The present study uses the finite element method to examine a cuboid-shaped sample with various porosities to develop a better model for the relationship between resonance frequencies and elasticity. In addition to the relationship between elasticity and porosity, an empirical correlation between resonance frequencies and elasticity is proposed. The results of this research allow the researchers to estimate the porosity and effective Young’s modulus of metal foams based on the resonance frequencies.