Abstract A numerical model for the constitutive response of powder compacts during densification is presented. Particle packings are treated as frameworks of links that connect the centers of particles through inter-particle contacts. The behavior of each link in the framework is based on unit problems for the interaction between individual spheres [ Acta metall. 36 , 2551 (1988)]. This approach bridges the gap between unit models on the level of individual particles and the continuum behavior of very large packings of particles. Furthermore, since the model deals with individual particles, it is possible to predict the evolution of several details of packings that are important to the properties of the deformed part. Using this model the deformation of discrete powder packings under combined sintering and traction-induced compaction may be studied. Comparisons between model predictions and experimental data are presented for the sintering of a two-dimensional packing of mono-sized glass spheres. The model compares well with the experiment and is able to predict several microscopic features of the sintered packing.
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