Experimental Determination of the Modified Drucker-Prager Cap Constitutive Model for 92 Percent Alumina Powder

Document Type : Research Article

Authors

1 دانشجوی کارشناسی ارشد، دانشکده مهندسی مکانیک و مکاترونیک، دانشگاه صنعتی شاهرود، شاهرود، ایران،

2 صنعتی شاهرود-مهندسی مکانیک

3 استادیار، دانشکده مهندسی مکانیک و مکاترونیک، دانشگاه صنعتی شاهرود، شاهرود، ایران، v_hosseini@shahroodut.ac.ir

Abstract

In this research, the deformation behavior of the commercial ready to press 92 percent alumina powder has been investigated using the modified Drucker-Prager cap model. This model is a multi-surface yield model for the description of the plastic behavior of powders during consolidation. To this end, parameters of the model as functions of density were obtained by means of experiments. The constants of the shear failure yield surface were obtained based on simple diametric and axial compressive loading cylindrical specimens with various relative densities. For determining the remaining parameters of the model, an instrumented die fitted with strain gage and load cell was designed and fabricated. Parameters of the cap surface were achieved based on the uniaxial die compaction experiments. Based on consecutive loading-unloading tests using the instrumented die, the friction coefficient and elastic moduli were derived from loading and unloading phases respectively. For finite element simulation of the uniaxial compaction, density-dependent material parameters were employed in ABAQUS. The variations of density were taken into account using a user-defined filed variable subroutine. Simulation results prove a very good agreement with the experimental counterpart.

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