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@techreport{Omohundro:1989,
Author = {Stephen M. Omohundro},
Date-Added = {2014-05-22 09:47:58 +0000},
Date-Modified = {2014-05-22 09:47:58 +0000},
Institution = {International Computer Science Institute, University of California at Berkeley},
Number = {TR-89-063},
Title = {Five Balltree Construction Algorithms},
Type = {Technical Report},
Url = {http://ftp.icsi.berkeley.edu/ftp/pub/techreports/1989/tr-89-063.pdf},
Year = {1989},
Bdsk-Url-1 = {http://ftp.icsi.berkeley.edu/ftp/pub/techreports/1989/tr-89-063.pdf}}
@article{Aragon:2013d,
Author = {Alejandro M. Arag{\'o}n and Jean-Fran{\c c}ois Molinari},
Date-Added = {2014-05-22 09:14:48 +0000},
Date-Modified = {2014-05-22 09:14:48 +0000},
Doi = {10.1016/j.cma.2013.10.001},
Issn = {0045-7825},
Journal = {Computer Methods in Applied Mechanics and Engineering},
Number = {0},
Pages = {574 - 588},
Title = {A hierarchical detection framework for computational contact mechanics},
Url = {http://dx.doi.org/10.1016/j.cma.2013.10.001},
Volume = {268},
Year = {2014},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0045782513002533},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.cma.2013.10.001}}
@book{Belytschko:2000,
author = {Ted Belytschko, Wing Kam Liu, Brian Moran},
year = {2000},
title = {Nonlinear Finite Elements for Continua and Structures},
publisher = {Wiley},
}
@book{Laursen:2002,
Author = {Laursen, T.A.},
Date-Added = {2014-03-21 13:24:56 +0000},
Date-Modified = {2014-03-21 13:24:56 +0000},
Isbn = {9783540429067},
Lccn = {2002511027},
Publisher = {Springer},
Series = {Engineering online library},
Title = {Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis},
Year = {2002},
Bdsk-Url-1 = {http://books.google.ch/books?id=umzsErNuyFgC}}
@book{curnier92a,
Author = {Curnier, A. and Curnier, A. and Curnier, A.},
Publisher = {EPFL},
Title = {M{\'e}thodes num{\'e}riques en m{\'e}canique des solides},
Url = {http://books.google.ch/books?id=-Z2zygAACAAJ},
Year = {1992},
Bdsk-Url-1 = {http://books.google.ch/books?id=-Z2zygAACAAJ}}
@article{hughes-83a,
Author = {Hughes, T.J.R. and Belytschko, T.},
Journal = {Journal. of Applied Mechanics (ASME)},
Pages = {1033-1041},
Title = {A precis of developments in computational methods for transient analysis},
Volume = {50},
Year = {1983}}
@book{simo92,
Author = {Simo, J.C. and Hughes, T.J.R.},
Publisher = {Springer},
Title = {Computational Inelasticity},
Year = {1992}}
@book{frey2009,
Author = {Frey, F. and Jirousek, J.},
Isbn = {9782880748524},
Publisher = {PPUR},
Series = {Trait{\'e} de g{\'e}nie civil de l'Ecole Polytechnique F{\'e}d{\'e}rale de Lausanne},
Title = {M{\'e}thodes des {\'e}l{\'e}ments finis: Analyse des structures et milieux continus},
Url = {http://books.google.fr/books?id=bCBtQgAACAAJ},
Year = {2009},
Bdsk-Url-1 = {http://books.google.fr/books?id=bCBtQgAACAAJ}}
@article{ortiz1999,
Author = {Ortiz, M. and Pandolfi, A.},
Journal = {International Journal for Numerical Methods in Engineering (IJNME)},
Pages = {1267-1282},
Title = {Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis},
Volume = {44},
Year = {1999}}
@article{gmsh,
Author = {Geuzaine, Christophe and Remacle, Jean-Fran{\c c}ois},
Doi = {10.1002/nme.2579},
Issn = {1097-0207},
Journal = {International Journal for Numerical Methods in Engineering},
Keywords = {computer-aided design, mesh generation, post-processing, finite element method, open-source software},
Number = {11},
Pages = {1309--1331},
Publisher = {John Wiley & Sons, Ltd.},
Title = {Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities},
Url = {http://dx.doi.org/10.1002/nme.2579},
Volume = {79},
Year = {2009},
Bdsk-Url-1 = {http://dx.doi.org/10.1002/nme.2579}}
@misc{abaqus,
key = {Unified FEA},
url = {\url{http://www.3ds.com/products-services/simulia/portfolio/abaqus/}},
title = {Simulia ABAQUS FEA},
}
@misc{diana,
key = {FEM},
url = {\url{http://tnodiana.com/content/DIANA}},
title = {TNO DIANA},
}
@misc{mumps,
Key = {sparse matrix, direct solver, parallelisme},
Title = {MUMPS : a parallel sparse direct solver},
Url = {\url{http://graal.ens-lyon.fr/MUMPS/}},
Bdsk-Url-1 = {http://graal.ens-lyon.fr/MUMPS/}}
@misc{cmake,
Title = {CMake - Cross Platform Make},
Url = {\url{http://www.cmake.org/}},
Bdsk-Url-1 = {http://www.cmake.org/}}
@misc{paraview,
Title = {ParaView - Open Source Scientific Visualization},
Url = {\url{http://www.paraview.org/}},
Bdsk-Url-1 = {http://www.paraview.org/}}
@misc{visit,
Title = {VisIt Visualization Tool},
Url = {\url{http://wci.llnl.gov/codes/visit/}},
Bdsk-Url-1 = {http://wci.llnl.gov/codes/visit/}}
@misc{mayavi,
Title = {The MayaVi Data Visualizer},
Url = {\url{http://mayavi.sourceforge.net/}},
Bdsk-Url-1 = {http://mayavi.sourceforge.net/}}
@misc{scotch,
Title = {SCOTCH: Static Mapping, Graph, Mesh and Hypergraph Partitioning},
Url = {\url{http://www.labri.fr/perso/pelegrin/scotch/}},
Bdsk-Url-1 = {http://www.labri.fr/perso/pelegrin/scotch/}}
@article{camacho_computational_1996,
Author = {Camacho, {G.T.} and Ortiz, M.},
Journal = {International Journal of Solids and Structures},
Month = aug,
Number = {20{\textendash}22},
Pages = {2899--2938},
Title = {Computational modelling of impact damage in brittle materials},
Urldate = {2012-01-17},
Volume = {33},
Year = {1996}}
@article{snozzi_cohesive_2013,
Author = {Snozzi, Leonardo and Molinari, Jean-Francois},
Journal = {International Journal for Numerical Methods in Engineering},
Month = feb,
Number = {5},
Pages = {510--526},
Title = {A cohesive element model for mixed mode loading with frictional contact capability},
Volume = {93},
Year = {2013}}
@article{bazant76a,
title = {Instability, Ductility, and Size Effect in Strain-Softening Concrete},
author = {Zden\v{e}k P. Ba\v{z}ant},
journal = {Journal of the Engineering Mechanics Division},
volume = 102,
number = 5,
pages = {331 - 344},
year = 1976,
}
@article{bazant85a,
title = {Wave Propagation in a Strain-Softening Bar: Exact Solution},
author = {Zden\v{e}k P. Ba\v{z}ant and Ted Belytschko},
journal = {Journal of Engineering Mechanics},
volume = 111,
number = 3,
pages = {381 - 389},
year = 1985,
}
@article{bazant86a,
title = {Mechanics of distributed cracking},
author = {Zden\v{e}k P. Ba\v{z}ant},
journal = {Applied Mechanics Reviews},
volume = 39,
number = 5,
pages = {675 - 705},
year = 1986,
}
@article{bazant88a,
author = {Zden\v{e}k P. Ba\v{z}ant and Gilles Pijaudier-Cabot},
collaboration = {},
title = {{Nonlocal Continuum Damage, Localization Instability and Convergence}},
publisher = {ASME},
year = {1988},
journal = {Journal of Applied Mechanics},
volume = {55},
number = {2},
pages = {287-293},
OPTdoi = {10.1115/1.3173674}
}
@article{devree95,
title = {Comparison of nonlocal approaches in continuum damage mechanics},
author = {J.H.P. de Vree and W.A.M. Brekelmans and M.A.J. van Gils},
journal = {Computers \&; Structures},
volume = 55,
number = 4,
pages = {581 - 588},
year = 1995,
issn = {0045-7949},
OPTdoi = {10.1016/0045-7949(94)00501-S},
}
@article{giry11a,
title = {Stress-based nonlocal damage model},
author = {C. Giry and F. Dufour and J. Mazars},
journal = {International Journal of Solids and Structures},
volume = 48,
pages = {3431 - 3443},
year = 2011,
}
@article{hughes83a,
author = {{Hughes}, T.~J.~R. and {Belytschko}, T.},
title = {{A Pr{\'e}cis of Developments in Computational Methods for Transient Analysis}},
journal = {Journal of Applied Mechanics},
year = 1983,
month = {December},
volume = 50,
pages = {1033},
OPTdoi = {10.1115/1.3167186}
}
@article{jirasek98a,
title = {Nonlocal models for damage and fracture: comparison of approaches},
author = {Milan Jir\'asek},
journal = {International Journal of Solids and Structures},
volume = 35,
pages = {4133 - 4145},
year = 1998,
}
@article{jirasek03a,
author = {Milan Jir\'asek and Simon Rolshoven},
title = {Comparison of integral-type nonlocal plasticity models for strain-softening materials},
journal = {International Journal of Engineering Science},
year = 2003,
volume = 41,
pages = {1553-1602},
}
@article{jirasek04a,
title = {Size effect on fracture energy induced by non-locality},
author = {Milan Jir\'asek and S Rolshoven and P Grassl},
journal = {International Journal for numerical and analytical methods in geomechanics},
volume = 28,
pages = {653 - 670},
year = 2004,
}
@articlel{jirasek07a,
title = {Mathematical analysis of strain localization},
author = {Milan Jir\'asek},
journal = {Revue Europeenne de Genie Civil},
volume = 11,
pages = {977 - 991},
year = 2007,
}
@article{jirasek07b,
title = {Nonlocal damage mechanics},
author = {Milan Jir\'asek},
journal = {Revue Europeenne de Genie Civil},
volume = 11,
pages = {993 - 1021},
year = 2007,
}
@article {marigo81a,
pages = {1309-1312},
author = {Marigo, Jean-Jacques},
year = {1981},
title = {{Formulation d'une loi d'endommagement d'un mat\'eriau \'elastique}},
journal = {{C. R. Acad. Sci., Paris, S\'er. II}},
volume = 292,
number = 19,
issn = {0249-6305}
}
@PhdThesis{mazars84a,
author = {Mazars, Jacky},
title = {{Application de la m\'ecanique de l'endommagement au comportement non lin\'eaire et \`a la rupture du b\'eton de structure}},
school = {Universit\'e Paris 6},
year = 1984
}
@article{needleman88a,
title = {Material rate dependence and mesh sensitivity in localization problems},
author = {A. Needleman},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = 67,
number = 1,
pages = {69 - 85},
year = 1988,
issn = {0045-7825},
OPTdoi = {10.1016/0045-7825(88)90069-2},
}
@article{newmark59a,
author = {Nathan M. Newmark},
title = {{A Method of Computation for Structural Dynamics}},
journal = {Journal of the Engineering Mechanics Division},
year = {1959},
volume = {85},
number = {3},
pages = {67-94},
month = {July},
editor = {ASCE}
}
@article{pijaudier87a,
title = {Nonlocal damage theory},
author = {Gilles Pijaudier-Cabot and Zden\v{e}k P. Ba\v{z}ant},
journal = {Journal of Engineering Mechanics},
volume = 113,
number = 10,
pages = {1512 - 1533},
year = 1987,
}
@article{rice76a,
title = {The Localisation of Plastic Deformation},
author = {James R. Rice},
journal = {Theoretical and Applied Mechanics (14th International Congress on Theoretical and Applied Mechanics, Delft, 1976, ed. W.T. Koiter)},
volume = 1,
pages = {207 - 220},
year = 1976,
}
@article{sharon96a,
title = {Microbranching instability and the dynamic fracture of brittle materials},
author = {Eran Sharon and Jay Fineberg},
journal = {Physical Review B},
volume = 54,
number = 10,
pages = {7128 - 7139},
year = 1996,
}
@article{aifantis84a,
title = {On the microstructural origin of certain inelastic models},
author = {E. C. Aifantis},
journal = {Journal of Engineering Materials and Technology},
volume = {106},
pages = {326 - 330},
year = 1984,
}
@article{ladeveze92a,
title = {A damage computational method for composite structures},
author = {P. Ladeveze},
journal = {Computational \& Structures},
volume = {44},
pages = {79-87},
year = {1992},
}
@PhDThesis{levy10a,
address = {Lausanne},
title = {Exploring the {P}hysics behind {D}ynamic
{F}ragmentation through {P}arallel {S}imulations},
affiliation = {EPFL},
author = {Levy, Sarah},
doctoral = {EDME},
institute = {IIC},
original-unit = {LSMS},
publisher = {EPFL},
school = {ENAC},
unit = {LSMS},
year = 2010
}
@article{pandolfi12a,
title = {An eigenerosion approach to brittle fracture},
author = {A Pandolfi and M Ortiz},
journal = {International Journal for Numerical Methods in Engineering},
volume = 92,
pages = {694-714},
year = 2012,
}
@article{belytschko03a,
author = {T Belytschko and H Chen and J Xu and G Zi},
title = {Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment},
journal = {International Journal for Numerical Methods in Engineering},
year = 2003,
volume = 58,
pages = {1875-1905},
}
@article{silling00a,
author = {S A Silling},
title = {Reformulation of elasticity theory for discontinuities and long-range forces},
journal = {Journal of the Mechanics and Physics of Solids},
year = 2000,
volume = 48,
pages = {175-209},
}
@article{youn10a,
author = {Youn Doh-Ha and Florin Bobaru},
title = {Studies of dynamic crack propagation and crack branching with peridynamics},
journal = {International Journal of Fracture},
year = 2010,
volume = 162,
pages = {229-1244},
}
@article{ortiz99a,
author = {M Ortiz and A Pandolfi},
title = {Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis},
journal = {International Journal for Numerical Methods in Engineering},
year = 1999,
volume = {44},
pages = {1267-1282},
}
@article{patzak01a,
author = {B. Patzák and D. Rypl and Z. Bittnar},
title = {Parallel explicit finite element dynamics with nonlocal constitutive models},
journal = {{Computers \& Structures}},
volume = 79,
number = "26–28",
pages = "2287 - 2297",
year = 2001,
issn = "0045-7949",
}
@book{lemaitre96a,
title = {A Course on Damage Mechanics},
isbn = {978-3-540-60980-3},
publisher = {Springer Berlin Heidelberg},
author = {Lemaitre, Jean},
year = {1996},
}
@book{courant56a,
title = {On the partial difference equations of mathematical physics},
address = {New York},
author = {Courant, Richard and Friedrichs, Kurt Otto and Lewy, H.},
publisher = {Courant Institute of Mathematical Sciences, New York University},
year = {1956},
}
@unpublished{wolff14a,
author = {C. Wolff and N. Richart and JF Molinari},
title = {A non-local continuum damage approach to model dynamic crack branching},
year = {2014},
note = {Submitted to IJNME},
}
@article{caughey1960,
title={Classical normal modes in damped linear dynamic systems},
author={Caughey, TK},
journal={Journal of Applied Mechanics},
volume={27},
number={2},
pages={269--271},
year={1960},
publisher={American Society of Mechanical Engineers}
}
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