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Robust eXtended finite elements for complex cutting of deformables

Dan Koschier, Jan Bender, Nils Thuerey
2017 ACM Transactions on Graphics  
In this paper we present a robust remeshing-free cutting algorithm on the basis of the eXtended Finite Element Method (XFEM) and fully implicit time integration.  ...  We verify consistency and robustness of our approach on simple and reproducible academic examples while stability and applicability are demonstrated in large scenarios with complex and fine structural  ...  In this paper we present a robust remeshing-free cutting algorithm on the basis of the eXtended Finite Element Method (XFEM) and fully implicit time integration.  ... 
doi:10.1145/3072959.3073666 fatcat:3nwvxollcrgptj3k6fxdglby5m

High order unfitted finite element methods on level set domains using isoparametric mappings

Christoph Lehrenfeld
2016 Computer Methods in Applied Mechanics and Engineering  
An unfitted finite element method which is suitable for the case of piecewise planar interfaces is combined with a parametric mapping of the underlying mesh resulting in an isoparametric unfitted finite  ...  We introduce a new class of unfitted finite element methods with high order accurate numerical integration over curved surfaces and volumes which are only implicitly defined by level set functions.  ...  Acknowledgements The author would like to express his appreciation to Arnold Reusken for his valuable and constructive feedback on a first draft of this manuscript.  ... 
doi:10.1016/j.cma.2015.12.005 fatcat:lfxo2hoxarh6hnx6xfvselqqvu

Polyhedral Finite Elements Using Harmonic Basis Functions

Sebastian Martin, Peter Kaufmann, Mario Botsch, Martin Wicke, Markus Gross
2008 Computer graphics forum (Print)  
We propose a flexible finite element method for arbitrary polyhedral elements, thereby effectively avoiding the need for remeshing.  ...  The versatility of our approach is demonstrated on cutting and adaptive refinement within a simulation framework for corotated linear elasticity.  ...  These discretizations allow for simple and efficient implementations of the finite element method, but in turn require rather complex mesh restructuring in case of topological changes, for instance due  ... 
doi:10.1111/j.1467-8659.2008.01293.x fatcat:z25spohdlzed5oyt4tjiy75bka

Analysis Precision Machining Process Using Finite Element Method [chapter]

Xuesong Han
2012 Continuum Mechanics - Progress in Fundamentals and Engineering Applications  
Owing to the complexity of elastic-plastic deformation at nanometer scale, the world wide convinced precision materials removal theory is not built up until now.  ...  In the presence of a contaminant, the rewelding of microcracks decreases, resulting in decrease in the cutting force required for chip formation.  ...  Materials property at local shear band is very complex in the precision machining which makes it difficult to build up real robust flow stress model fitting for manufacturing process.  ... 
doi:10.5772/38704 fatcat:6s2o2eh2ofgdnocywfmnhjtvt4

Augmented Reality during Cutting and Tearing of Deformable Objects

Christoph J. Paulus, Nazim Haouchine, David Cazier, Stephane Cotin
2015 2015 IEEE International Symposium on Mixed and Augmented Reality  
The computation of the physics-based deformation, the cut detection and the topological modification of the underlying volumetric model are all performed in real-time.  ...  These topological changes are then applied to the physics-based model to approximate the real cut. All these steps, from deformation to cutting simulation, are performed in real-time.  ...  ACKNOWLEDGMENTS The authors would like to thank Bruno Marques for his assistance with the image aquisition.  ... 
doi:10.1109/ismar.2015.19 dblp:conf/ismar/PaulusHCC15 fatcat:6xb5vsuqbfdbhcft4fohs64aae

Modeling of Micro-machining Single-crystal f.c.c. Metals

S.A. Zahedi, A. Roy, V.V. Silberschmidt
2013 Procedia CIRP  
Smoothed particle hydrodynamics is known as an efficient and numerically robust way for solving large-deformation problems.  ...  For this, planing experiments provide detailed data in terms of cutting energy for one crystal orientation at a time; however, a turning setup provides near continuous data for the entire range of cutting  ...  Acknowledgements AZ acknowledges the use of the UMAT for the CP theory developed by Yonggang Huang [14] , Jeffrey Kysar [15] and Murat Demiral.  ... 
doi:10.1016/j.procir.2013.06.114 fatcat:3feleq4vsja6xmlvxe7h4uvxoq

A new Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets [chapter]

Fehmi Cirak, Raúl Radovitzky
2003 Computational Fluid and Solid Mechanics 2003  
An Eulerian finite volume formulation is adopted for the fluid and a Lagrangian formulation based on subdivision finite elements is adopted for the shell response.  ...  We propose a computational method for the coupled simulation of a compressible flow interacting with a thin-shell structure undergoing large deformations.  ...  Acknowledgments The partial support of DoE through Caltech's ASCI Center for the Simulation of the Dynamic Response of Materials is gratefully acknowledged.  ... 
doi:10.1016/b978-008044046-0.50318-3 fatcat:5dxw46uzmzb23ck2kbz7bdo3jy

Numerical Methods for the Modelling of Chip Formation

J. M. Rodríguez, J. M. Carbonell, P. Jonsén
2018 Archives of Computational Methods in Engineering  
The modeling of metal cutting has proved to be particularly complex due to the diversity of physical phenomena involved, including thermo-mechanical coupling, contact/friction and material failure.  ...  Moreover the review covers the classical Finite Element Method covering mesh-less methods, particle-based methods and different possibilities of Eulerian and Lagrangian approaches.  ...  of reliability and robustness, in front of more classical finite element methods.  ... 
doi:10.1007/s11831-018-09313-9 fatcat:p3zqorztcvapziik4env2pf3di

A New Lagrangian-Eulerian Shell-Fluid Coupling Algorithm Based on Level Sets [chapter]

Fehmi Cirak, RaúL Radovitzky
2003 Fluid Mechanichs and its Application  
An Eulerian finite volume formulation is adopted for the fluid and a Lagrangian formulation based on subdivision finite elements is adopted for the shell response.  ...  We propose a computational method for the coupled simulation of a compressible flow interacting with a thin-shell structure undergoing large deformations.  ...  Acknowledgments The partial support of DoE through Caltech's ASCI Center for the Simulation of the Dynamic Response of Materials is gratefully acknowledged.  ... 
doi:10.1007/978-94-007-0995-9_34 fatcat:m7qmt62cbrcatpw37wwuydbopy

A new Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets [chapter]

F CIRAK, R RADOVITZKY
2003 Computational Fluid and Solid Mechanics 2003  
An Eulerian finite volume formulation is adopted for the fluid and a Lagrangian formulation based on subdivision finite elements is adopted for the shell response.  ...  We propose a computational method for the coupled simulation of a compressible flow interacting with a thin-shell structure undergoing large deformations.  ...  Acknowledgments The partial support of DoE through Caltech's ASCI Center for the Simulation of the Dynamic Response of Materials is gratefully acknowledged.  ... 
doi:10.1016/b978-008044046-0/50318-3 fatcat:taw5ha32fnatpaql47f7d7gtja

Finite Element Analysis of Machining Thin-Wall Parts: Error Prediction and Stability Analysis [chapter]

YongAn Huang, Xiaoming Zhang, Youlun Xiong
2012 Finite Element Analysis - Applications in Mechanical Engineering  
Acknowledgement The authors are grateful for supports from the National Natural Science Foundation of China (50835004,51005087).  ...  In the known condition of cutting force, the deflection of the thin-wall workpiece can be calculated through finite element analysis in real time.  ...  The dynamic non-uniform temperature distribution roots in time/position-dependent thermal deformations. Eq.(13) is to be solved by finite element method here. Ref.  ... 
doi:10.5772/50374 fatcat:f4ygxqbetnfhrch2usio3elutm

Finite Element Analysis Of Influence Of Flank Wear Evolution On Forces In Orthogonal Cutting Of 42CrMo4 Steel

Marek Madajewski, Zbigniew Nowakowski
2017 Archives of Mechanical Technology and Materials  
Data about magnitude of feed and cutting force were obtained from measurements with force tensiometer in experimental test as well as from finite element analysis of chip formation process in ABAQUS/Explicit  ...  This paper presents analysis of flank wear influence on forces in orthogonal turning of 42CrMo4 steel and evaluates capacity of finite element model to provide such force values.  ...  This material law in frequently applied in finite element analysis for such problems where large and abrupt deformations occurs.  ... 
doi:10.1515/amtm-2017-0009 fatcat:doi624qapjbxpkyidjdharasvq

Volumetric modeling and interactive cutting of deformable bodies

Lenka Jeřábková, Guillaume Bousquet, Sébastien Barbier, François Faure, Jérémie Allard
2010 Progress in Biophysics and Molecular Biology  
The well-known problem of creating small, ill-shaped finite elements while remeshing is thus completely avoided.  ...  This allows to trade off accuracy for speed in the computation of deformations. The input data is a highresolution volumetric model of the objects.  ...  The majority of current surgical simulators uses the finite element method (FEM) for tissue deformation.  ... 
doi:10.1016/j.pbiomolbio.2010.09.012 pmid:20869381 fatcat:in5gwxhnmjcfjcjmcc2lsl45ou

A Finite Element Method on Convex Polyhedra

Martin Wicke, Mario Botsch, Markus Gross
2007 Computer graphics forum (Print)  
We present a method for animating deformable objects using a novel finite element discretization on convex polyhedra.  ...  For fast and robust computations, we use an elasticity model based on Cauchy strain and stiffness warping.  ...  Acknowledgments We would like to thank Bernd Bickel for his work on the raytraced illustrations and Denis Steinemann for comparison data.  ... 
doi:10.1111/j.1467-8659.2007.01058.x fatcat:s3i4sjygnjhojhhrg5oix5gj24

Modelling of damage initiation and propagation in metal forming

R. H. J. Peerlings, H. R. Javani, J. Mediavilla, M. G. D. Geers
2008 International Journal of Material Forming  
For this purpose, a gradient damage formulation is coupled to an existing largestrain elastoplasticity framework. The resulting equations are solved by the finite element method.  ...  Aspects of the -far from trivial -extension to three dimensions are discussed.  ...  Extending the continuum damage modelling and its finite element implementation to three dimensions is relatively straightforward.  ... 
doi:10.1007/s12289-008-0177-y fatcat:qowcjuzwyzgcjmpqfaret7jbc4
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