Preparation of Control Space for Remeshing of Polygonal Surfaces

The subject of the article concerns the issues of remeshing, transforming a polygonal mesh into a triangular mesh adapted to surface. From the initial polygonal mesh the curvature of surface and boundary is retrieved and used to calculate a metric tensor varying in three-dimensional space. In the proposed approach the curvature is computed using local approximation of surfaces and curves on the basis of vertices of the polygonal mesh. An essential part of the presented remeshing procedure is creation of a control space structure based on the retrieved discrete data. The subsequent process of remeshing is then supervised by the contents of this auxiliary structure. The article presents various aspects related to the procedure of initialization, creation and adjusting the control space structure

The effect of the curvature of a grain boundary network in the three-dimensional polycrystal on the response to a cyclic thermal loading: an FEM study

Department of Materials Science EngineeringIn this work, the effect of curvature of the grain boundary network in a polycrystalline material under external loading on the mechanical field distribution is examined. First, a three-dimensional digital voxellated polycrystal is generated using the Monte Carlo Potts model in the context of normal grain growth. Then, three-dimensional conformal, smoothed surface mesh elements on the grain boundary network of the such a digital microstructure are created using a set of both in-house codes. From surface mesh, the three-dimensional conformal volume elements are created using a commercial package. Finally, a finite element method (ABAQUS) is used on the resultant mesh elements to simulate the mechanical response inside the polycrystal under cyclic thermal loading. Specifically, we compared mechanical fields distribution inside the polycrystal as the grain boundary curvature changes.ope