Implicit modeling of abrasion process based on potential field

Abstract This article presents a novel numerical model to generate abrasion surface topography. The main difficulty encountered regarding abrasion simulation is the numerical complexity caused by the number of interactions. In addition, the resulting surface topography is not only the result of cutting but also repelling and deforming matter. Thus the geometry is not strictly defined by the intersection between the grains and the mechanical part. Considering both numerical and physical constraints, an implicit geometrical model has been developed. The features of an implicitly defined surface make it a suitable candidate to address abrasion removal phenomenon. Within this formulation, the surface is embedded in a volumetric data set and is retrieved as the set of points having the same field value. Thus, the correlation between a scalar field and the specimen surface has been leveraged to model the abrasive grain actions. The removal action occurs throughout the penalization of the volumetric data field. The extension of each particle interaction range to model the plastic flow is done with negligible additional cost.

[1]  Gershon Elber,et al.  Three-dimensional freeform sculpting via zero sets of scalar trivariate functions , 2000, Comput. Aided Des..

[2]  Brian Wyvill,et al.  Two‐dimensional Potential Fields for Advanced Implicit Modeling Operators , 2003, Comput. Graph. Forum.

[3]  James F. Blinn,et al.  A generalization of algebraic surface drawing , 1982, SIGGRAPH.

[4]  M. Papini,et al.  Material deformation and removal due to single particle impacts on ductile materials using smoothed particle hydrodynamics , 2012 .

[5]  Marie-Paule Cani,et al.  An implicit formulation for precise contact modeling between flexible solids , 1993, SIGGRAPH.

[6]  Brian Wyvill,et al.  Interactive techniques for implicit modeling , 1990, I3D '90.

[7]  Xun Chen,et al.  Analysis and simulation of the grinding process. Part II: Mechanics of grinding , 1996 .

[9]  Jarek Rossignac,et al.  Optimizing the topological and combinatorial complexity of isosurfaces , 2005, Comput. Aided Des..

[10]  Andras Vernes,et al.  Smooth particle hydrodynamics simulation of damage induced by a spherical indenter scratching a viscoplastic material , 2016 .

[11]  Dani Tost,et al.  Boolean operations for 3D simulation of CNC machining of drilling tools , 2004, Comput. Aided Des..

[12]  Qing-Hui Wang,et al.  A novel approach to simulate surface topography based on motion trajectories and feature theories of abrasive grains , 2018, The International Journal of Advanced Manufacturing Technology.

[13]  K. Gahr,et al.  Microstructure and Wear of Materials , 1987 .

[14]  Ekkard Brinksmeier,et al.  Advances in Modeling and Simulation of Grinding Processes , 2006 .

[15]  Alan Sullivan,et al.  High accuracy NC milling simulation using composite adaptively sampled distance fields , 2012, Comput. Aided Des..

[17]  Fritz Klocke,et al.  Analysis of defect mechanisms in polishing of tool steels , 2011, Prod. Eng..

[18]  Ichiro Inasaki,et al.  Modelling and Simulation of Grinding Processes , 1992 .

[19]  A. Zahedi,et al.  FEM Based Modeling of Cylindrical Grinding Process Incorporating Wheel Topography Measurement , 2016 .

[20]  Christophe Tournier,et al.  Effective NC machining simulation with OptiX ray tracing engine , 2019, The Visual Computer.

[21]  Marcello Papini,et al.  Finite element analysis of single impacts of angular particles on ductile targets , 2009 .

[22]  Nicolas Pinto,et al.  PyCUDA and PyOpenCL: A scripting-based approach to GPU run-time code generation , 2009, Parallel Comput..

[23]  Philip Koshy,et al.  Surface Generation with Engineered Diamond Grinding Wheels: Insights from Simulation , 2003 .

[24]  Christopher DeCoro,et al.  Real-Time Isosurface Extraction Using the GPU Programmable Geometry Pipeline , 2007, SIGGRAPH Courses.

[25]  William E. Lorensen,et al.  Marching cubes: A high resolution 3D surface construction algorithm , 1987, SIGGRAPH.

[26]  F. W. Preston.  The Theory and Design of Plate Glass Polishing Machines , 1927 .