@ARTICLE{Lachowski_J._A_2018, author={Lachowski, J. and Borowiecka-Jamrozek, J.M.}, volume={vol.18}, number={No 2}, journal={Archives of Foundry Engineering}, howpublished={online}, year={2018}, publisher={The Katowice Branch of the Polish Academy of Sciences}, abstract={This paper deals with numerical and analytical modelling of a diamond or silicon particle embedded in a metallic matrix. The numerical model of an elastic particle in a metallic matrix was created using the Abaqus software. Truncated octahedron-shaped and spherical-shaped diamond particles were considered. The numerical analysis involved determining the effect of temperature on the elastic and plastic parameters of the matrix material. The analytical model was developed for a spherical particle in a metallic matrix. The comparison of the numerical results with the analytical data indicates that the mechanical parameters responsible for the retention of diamond particles in a metal matrix are: the elastic energy of the particle, the elastic energy of the matrix and the radius of the plastic zone around the particle. An Al-based alloy containing 5% of Si and 2% of Cu was selected to study the mechanical behaviour of silicon precipitates embedded in the aluminium matrix. The model proposed to describe an elastic particle in a metallic matrix can be used to analyze other materials with inclusions or precipitates.}, type={Artykuły / Articles}, title={A Thermomechanical Model of an Elastic Particle in a Metallic Matrix}, URL={http://journals.pan.pl/Content/106783/PDF/AFE%202_2018_14.pdf}, doi={10.24425/122506}, keywords={metallography, mechanical properties, synthetic diamond, hot pressing, silicon precipitate}, }