@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://ochroma.man.poznan.pl/Content/106783/PDF/AFE%202_2018_14.pdf},
 doi={10.24425/122506},
 keywords={metallography, mechanical properties, synthetic diamond, hot pressing, silicon precipitate},
}