Software development for implementing a model of porous structures based on three periodic surfaces

Abstract

Based on the original algorithm for generating three periodic surfaces implemented in the ToposPro information and analytical system, a mathematical model of a porous material was developed. The TPS Extractor software for the computer implementation of this model was developed. This software implements original algorithms for triangulation, translation, smoothing, and model solidifying. The developed triangulation algorithms were used to construct a set of three periodic surfaces, and models of the corresponding porous materials were built on their basis. Based on models of porous materials, a study of the performance of smoothing and translation algorithms was conducted. Using a solidifying algorithm for increasing the model thickness, models of porous material were created that are suitable for 3D printing. Also, samples of porous models were printed out using fused deposition modeling technology.