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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2011年 6750 LNCS卷 44-71页

作者： Vyatkina, Kira Barequet, Gill Dept. of Mathematics and Mechanics Saint Petersburg State University 28 Universitetsky pr. Stary Peterhof St Petersburg 198504 Russia Center for Graphics and Geometric Computing Dept. of Computer Science Technion-Israel Institute of Technology Haifa 32000 Israel Dept. of Computer Science Tufts University 161 College Ave. Medford MA 02155 United States

ISBN: (纸本)9783642226182

We describe a method based on the wavefront propagation, which computes a multiplicatively weighted Voronoi diagram for a set L of n lines in the plane in O(n2 logn) time and O(n2) space. In the process, we derive complexity bounds and certain structural properties of such diagrams. An advantage of our approach over the general purpose machinery, which requires computation of the lower envelope of a set of halfplanes in three-dimensional space, lies in its relative simplicity. Besides, we point out that the unweighted Voronoi diagram for n lines in the plane has a simple structure, and can be obtained in optimal Θ(n2) time and space. © 2011 Springer-Verlag Berlin Heidelberg.

关键词： Machinery

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Lower bounds for kinetic planar subdivisions 99

Lower bounds for kinetic planar subdivisions

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Proceedings of the fifteenth annual symposium on Computational geometry

作者： Pankaj K. Agarwal Julien Basch Mark de Berg Leonidas J. Guibas John Hershberger Center for Geometric Computing Department of Computer Science Duke University Box 90129 Durham NC Department of Computer Science Utrecht University P.O. Box 80.089 3508 TB Utrecht the Netherlands Computer Science Department Stanford University Stanford CA Mentor Graphics Corp. 8005 SW Boeckman Road Wilsonville OR

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Finite Cell Method for functionally graded materials based on V-models and homogenized microstructures

arXiv

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arXiv 2020年

作者： Wassermann, Benjamin Korshunova, Nina Kollmannsberger, Stefan Rank, Ernst Elber, Gershon Chair for Computation in Engineering Technical University of Munich Arcisstr. 21 München80333 Germany Chair of Computational Modeling and Simulation Technical University of Munich Arcisstr. 21 München80333 Germany Institute for Advanced Study Technical University of Munich Lichtenbergstr. 2a Garching85748 Germany Center for Graphics and Geometric Computing Technion Israel Institute of Technology Haifa3200003 Israel

This paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain approach (FCM) and a new modeling framework (V-rep) forms the basis for an efficient and accurate simulation of mechanical artifacts, which are not only characterized by complex shapes but also by their non-standard interior structure. These objects gain more and more interest in the context of the new design opportunities opened by additive manufacturing, mainly when graded or micro-structured material is applied. Two different types of functionally graded materials (FGM) are considered: The first one, multi-material FGM, is described using the V-rep models’ inherent property to assign different properties throughout the interior of a domain. The second, single-material FGM – which is heterogeneously micro-structured – characterizes the effective material behavior of representative volume elements by homogenization and performs large-scale simulations using the embedded domain approach. Copyright © 2020, The Authors. All rights reserved.

关键词： Functionally graded materials

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