Modeling of Stress Distribution and Fracture in ABS, PLA, and Alumina-Filled PLA Filaments and FDM-Printed Specimens

Abstract

In the presented work, a probabilistic approach to fracture analysis of commercially available polyacrylonitrile butadiene styrene (ABS) and polylactide (PLA) filaments and fused deposition modeling (FDM)-printed tensile samples produced from them, as well as PLA filled with alumina (Al2O3) specimens, is discussed. The results of the analysis reveal the presence of symmetry between the stress distribution in the plastic–elastic and fracture stress regions. The value of the transition point from elastoplastic stress distribution to fracture distribution was established. It was shown that the probability density of the destruction of samples in a bound state obeys the Cauchy distribution. The resulting model well describes the stress distributions of tensile specimens, with a minimum deviation of 0.021% and a maximum deviation of 0.048% for the ceramic–polylactide (60Al2O3/40PLA) filament.