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Analytical theory for the description of powder systems under compression

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Abstract

In this work, a new theoretical approach to modelling some properties of powder systems under compression is presented. This new theoretical route consists of modelling an actual powder system (with particles of unequal size and irregular form) by means of a system of deforming spheres in a simple cubic arrangement and with a certain global porosity that, in some way, makes it equivalent to the actual one. The study of the evolution of the effective contact area between particles and the effective path of the electric or thermal flow through the powder aggregate is the starting point for establishing the equivalence relationship between the actual system and the simple cubic one. In order to exemplify the utility of this new theoretical tool, two classic problems of practical interest have been studied: the electrical conduction in sintered powders and the law governing the powders’ cold die compaction. The proposed solutions to these problems, as well as the equations allowing one to obtain the equivalence relationship, are validated by experiments carried out in actual powder systems.

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Authors and Affiliations

  1. Department of Mechanical and Materials Engineering, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Sevilla, Spain

    J. M. Montes & J. Cintas

  2. Department of Chemistry and Materials Science, Escuela Politécnica Superior, Universidad de Huelva, Campus La Rábida, Carretera Palos s/n, 21819, Palos de la Frontera, Spain

    F. G. Cuevas

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  1. J. M. Montes
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  2. F. G. Cuevas
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  3. J. Cintas
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Correspondence to J. M. Montes.

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Montes, J.M., Cuevas, F.G. & Cintas, J. Analytical theory for the description of powder systems under compression. Appl. Phys. A 99, 751–761 (2010). https://doi.org/10.1007/s00339-010-5682-4

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