Department of Materials Science and Engineering, Lviv Polytechnic National University, 12 Bandera St., 79013 Lviv, Ukraine
Alexander Pankratov
Department of Mathematical Modelling and Optimal Design, Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Pozharskogo St., 2/10, 61046 Kharkiv, Ukraine
Tetyana Romanova
Department of Mathematical Modelling and Optimal Design, Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Pozharskogo St., 2/10, 61046 Kharkiv, Ukraine
Igor Litvinchev
Graduate Program in Systems Engineering, Nuevo Leon State University (UANL), Av. Universidad s/n, Col. Ciudad Universitaria, San Nicolas de los Garza 66455, Nuevo Leon, Mexico
Julia Bennell
Faculty of Business, University of Leeds, Maurice Keyworth Building, Leeds LS2 9JT, UK
Igor Lemishka
Department of Materials Science and Engineering, Lviv Polytechnic National University, 12 Bandera St., 79013 Lviv, Ukraine
Sergiy Maximov
Department of Mathematical Modelling and Optimal Design, Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Pozharskogo St., 2/10, 61046 Kharkiv, Ukraine
To obtain high-quality and durable parts by 3D printing, specific characteristics (porosity and proportion of various sizes of particles) in the mixture used for printing or sintering must be assured. To predict these characteristics, a mathematical model of optimized packing polyhedral objects (particles of titanium alloys) in a cuboidal container is presented, and a solution algorithm is developed. Numerical experiments demonstrate that the results obtained by the algorithm are very close to experimental findings. This justifies using numerical simulation instead of expensive experimentation.
