Anisotropic Elastic Constants of Porous Copper with Resonant Ultrasound Spectroscopy and Micromechanics

Abstract

We have studied the anisotropic elastic constants of crept copper with the oblate ellipsoidal pores and lotus-type porous copper with long straight pores aligned unidirectionally. We used the combination of resonant ultrasound spectroscopy and electromagnetic acoustic resonance methods to determine all the independent elastic constants with high accuracy. The elastic anisotropy depends on porosity, pore shape, pore orientation, and matrix’s texture. We have calculated the elastic constants by a micromechanics theory, assuming that the pores are ellipsoidal inclusions of zero elasticity. We have obtained good agreement between micromechanics calculations and measurements.