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Modeling of the Densification of Porous Molybdenum by a Unit Cell Approach

Unit cell models are used to study the densification by coinpressive mechanical loading of molybdenum containing initially spherical pores at volume fractions between 2% and 10%. The model geometries correspond to body centered cubic arrangements of voids in a matrix. The stress and strain fields in the cells are solved for by the Finite Element Method. The molybdenum matrix is described by an elastoplastic material model and contact between the pore surfaces is provided for. Densification up to very small residual porosities is modeled by the above continuum micromechanical approach for two levels of the overall stress triaxiality. The evolution of the shapes of the pores is found to be markedly influenced by the loading conditions and the pore geometries are predicted to differ markedly from ellipsoids at elevated degrees of densification.