Аннотация
Fine powders in the micrometer and nanometer range are highly porous since cohesion forces dominate their behaviour. A key aspect in the investigation of the mechanical properties of cohesive granular media is the relation between their porosity and the stress they can withstand. For round rigid particles the compactible pore volume is found to be proportional to a power of the consolidation stress. A theory is presented that explains the exponent of this consitutive law from the dominant mechanism for pore collapse and the derived value of $13$ is confirmed by Contact Dynamics simulations and compaction experiments. A dynamical theory relates shock compaction and impact compaction to this constitutive law.
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