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A Continuum Approach for the Dynamic Simulation of Powder-like Materials

, , and . Proc. of the VII International Conference on Computational Plasticity, COMPLAS 2003, Barcelona, Spain, (2003)

Abstract

Dry powder, as a special case of extremely fine grade granular materials, is a collection of discrete solid grains up to 0.2 mm in size. As the space between the particles is filled with air, the density of the bulk solid is always less than the density of the discrete solid components. The shape of the particles and the formation of the packing are further properties characterizing powder-like materials. Their complex behavior is of high interest for civil, chemical, mechanical and materials engineers. Since many varying applications and processes exist in these different fields, the requirements for appropriate models are also manifold. The consolidation of a loose packing to a dense and compact mold or the comminution of brittle material under high pressure into pulverized media are only two examples. A meaningful kinematic and constitutive model is therefore crucial for every transient dynamic analysis. In this paper, a continuum model for the simulation of dry powder under quasi-static as well as dynamic loading will be presented. It is implemented in the context of multiplicative hyperelastic-based finite strain elasto-plasticity in a Lagrangean framework. In the description of the algorithm, it is focussed on a robust return mapping scheme which is formulated in principal stresses. A nonsmooth multisurface plasticity with tension cutoff, Drucker-Prager failure envelope and strain hardening cap provides the reproduction of the relevant phenomena: tensile failure, material flow under shearing and compaction under pressure. Corresponding material parameters are determined by geotechnical experiments like uniaxial and triaxial compression tests. The results of quasi-static and impact loading simulations are compared with experimental results. Computational issues related to the challenges of continuum treatment of powder-like materials will be addressed.

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