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@Article{aifantis84a,
Title = {On the microstructural origin of certain inelastic models},
Author = {E. C. Aifantis},
Journal = {Journal of Engineering Materials and Technology},
Year = {1984},
Pages = {326 - 330},
Volume = {106}
}
@Article{Aragon:2013d,
Title = {A hierarchical detection framework for computational contact mechanics},
Author = {Alejandro M. Arag{\'o}n and Jean-Fran{\c c}ois Molinari},
Journal = {Computer Methods in Applied Mechanics and Engineering},
Year = {2014},
Number = {0},
Pages = {574 - 588},
Volume = {268},
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},
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},
Url = {http://dx.doi.org/10.1016/j.cma.2013.10.001}
}
@Article{bazant86a,
Title = {Mechanics of distributed cracking},
Author = {Zden\v{e}k P. Ba\v{z}ant},
Journal = {Applied Mechanics Reviews},
Year = {1986},
Number = {5},
Pages = {675 - 705},
Volume = {39}
}
@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},
Year = {1976},
Number = {5},
Pages = {331 - 344},
Volume = {102}
}
@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},
Year = {1985},
Number = {3},
Pages = {381 - 389},
Volume = {111}
}
@Article{bazant88a,
Title = {{Nonlocal Continuum Damage, Localization Instability and Convergence}},
Author = {Zden\v{e}k P. Ba\v{z}ant and Gilles Pijaudier-Cabot},
Journal = {Journal of Applied Mechanics},
Year = {1988},
Number = {2},
Pages = {287-293},
Volume = {55},
Optdoi = {10.1115/1.3173674},
Publisher = {ASME}
}
@Article{belytschko03a,
Title = {Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment},
Author = {T Belytschko and H Chen and J Xu and G Zi},
Journal = {International Journal for Numerical Methods in Engineering},
Year = {2003},
Pages = {1875-1905},
Volume = {58}
}
@Article{camacho_computational_1996,
Title = {Computational modelling of impact damage in brittle materials},
Author = {Camacho, {G.T.} and Ortiz, M.},
Journal = {International Journal of Solids and Structures},
Year = {1996},
Month = aug,
Number = {20{\textendash}22},
Pages = {2899--2938},
Volume = {33},
Urldate = {2012-01-17}
}
@Article{caughey1960,
Title = {Classical normal modes in damped linear dynamic systems},
Author = {Caughey, TK},
Journal = {Journal of Applied Mechanics},
Year = {1960},
Number = {2},
Pages = {269--271},
Volume = {27},
Publisher = {American Society of Mechanical Engineers}
}
@Book{courant56a,
Title = {On the partial difference equations of mathematical physics},
Author = {Courant, Richard and Friedrichs, Kurt Otto and Lewy, H.},
Publisher = {Courant Institute of Mathematical Sciences, New York University},
Year = {1956},
Address = {New York}
}
@Book{curnier92a,
Title = {M{\'e}thodes num{\'e}riques en m{\'e}canique des solides},
Author = {Curnier, A.},
Publisher = {EPFL},
Year = {1992},
Bdsk-url-1 = {http://books.google.ch/books?id=-Z2zygAACAAJ},
Url = {http://books.google.ch/books?id=-Z2zygAACAAJ}
}
@incollection{giry13a,
title = {{Stress-based Non-local Damage Model}},
author = {GIRY, C{\'e}dric and Dufour, Fr{\'e}d{\'e}ric},
url = {https://hal.archives-ouvertes.fr/hal-02535143},
booktitle = {{Damage Mechanics of Cementitious Materials and Structures}},
publisher = {{John Wiley \& Sons, Inc.}},
pages = {51-88},
year = {2013},
month = Mar,
doi = {10.1002/9781118562086.ch3},
}
@Article{youn10a,
Title = {Studies of dynamic crack propagation and crack branching with peridynamics},
Author = {Youn Doh-Ha and Florin Bobaru},
Journal = {International Journal of Fracture},
Year = {2010},
Pages = {229-1244},
Volume = {162}
}
@Book{frey2009,
Title = {M{\'e}thodes des {\'e}l{\'e}ments finis: Analyse des structures et milieux continus},
Author = {Frey, F. and Jirousek, J.},
Publisher = {PPUR},
Year = {2009},
Series = {Trait{\'e} de g{\'e}nie civil de l'Ecole Polytechnique F{\'e}d{\'e}rale de Lausanne},
Bdsk-url-1 = {http://books.google.fr/books?id=bCBtQgAACAAJ},
ISBN = {9782880748524},
Url = {http://books.google.fr/books?id=bCBtQgAACAAJ}
}
@Article{gmsh,
Title = {Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities},
Author = {Geuzaine, Christophe and Remacle, Jean-Fran{\c c}ois},
Journal = {International Journal for Numerical Methods in Engineering},
Year = {2009},
Number = {11},
Pages = {1309--1331},
Volume = {79},
Bdsk-url-1 = {http://dx.doi.org/10.1002/nme.2579},
Doi = {10.1002/nme.2579},
ISSN = {1097-0207},
Keywords = {computer-aided design, mesh generation, post-processing, finite element method, open-source software},
Publisher = {John Wiley \& Sons, Ltd.},
Url = {http://dx.doi.org/10.1002/nme.2579}
}
@Article{giry11a,
Title = {Stress-based nonlocal damage model},
Author = {C. Giry and F. Dufour and J. Mazars},
Journal = {International Journal of Solids and Structures},
Year = {2011},
Pages = {3431 - 3443},
Volume = {48}
}
@Article{hughes-83a,
Title = {A precis of developments in computational methods for transient analysis},
Author = {Hughes, T.J.R. and Belytschko, T.},
Journal = {Journal. of Applied Mechanics (ASME)},
Year = {1983},
Pages = {1033-1041},
Volume = {50}
}
@Article{hughes83a,
Title = {{A Pr{\'e}cis of Developments in Computational Methods for Transient Analysis}},
Author = {{Hughes}, T.~J.~R. and {Belytschko}, T.},
Journal = {Journal of Applied Mechanics},
Year = {1983},
Month = {December},
Pages = {1033},
Volume = {50},
Optdoi = {10.1115/1.3167186}
}
@Article{jirasek07a,
Title = {Mathematical analysis of strain localization},
Author = {Milan Jir\'asek},
Journal = {Revue Europeenne de Genie Civil},
Year = {2007},
Pages = {977 - 991},
Volume = {11}
}
@Article{jirasek07b,
Title = {Nonlocal damage mechanics},
Author = {Milan Jir\'asek},
Journal = {Revue Europeenne de Genie Civil},
Year = {2007},
Pages = {993 - 1021},
Volume = {11}
}
@Article{jirasek98a,
Title = {Nonlocal models for damage and fracture: comparison of approaches},
Author = {Milan Jir\'asek},
Journal = {International Journal of Solids and Structures},
Year = {1998},
Pages = {4133 - 4145},
Volume = {35}
}
@Article{jirasek03a,
Title = {Comparison of integral-type nonlocal plasticity models for strain-softening materials},
Author = {Milan Jir\'asek and Simon Rolshoven},
Journal = {International Journal of Engineering Science},
Year = {2003},
Pages = {1553-1602},
Volume = {41}
}
@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},
Year = {2004},
Pages = {653 - 670},
Volume = {28}
}
@Article{ladeveze92a,
Title = {A damage computational method for composite structures},
Author = {P. Ladeveze},
Journal = {Computational \& Structures},
Year = {1992},
Pages = {79-87},
Volume = {44}
}
@Book{Laursen:2002,
Title = {Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis},
Author = {Laursen, T.A.},
Publisher = {Springer},
Year = {2002},
Series = {Engineering online library},
Bdsk-url-1 = {http://books.google.ch/books?id=umzsErNuyFgC},
Date-added = {2014-03-21 13:24:56 +0000},
Date-modified = {2014-03-21 13:24:56 +0000},
ISBN = {9783540429067},
Lccn = {2002511027}
}
@Book{lemaitre96a,
Title = {A Course on Damage Mechanics},
Author = {Lemaitre, Jean},
Publisher = {Springer Berlin Heidelberg},
Year = {1996},
ISBN = {978-3-540-60980-3}
}
@PhdThesis{levy10a,
Title = {Exploring the {P}hysics behind {D}ynamic {F}ragmentation through {P}arallel {S}imulations},
Author = {Levy, Sarah},
School = {ENAC},
Year = {2010},
Address = {Lausanne},
Affiliation = {EPFL},
Doctoral = {EDME},
Institute = {IIC},
Original-unit = {LSMS},
Publisher = {EPFL},
Unit = {LSMS}
}
@Article{marigo81a,
Title = {{Formulation d'une loi d'endommagement d'un mat\'eriau \'elastique}},
Author = {Marigo, Jean-Jacques},
Journal = {{C. R. Acad. Sci., Paris, S\'er. II}},
Year = {1981},
Number = {19},
Pages = {1309-1312},
Volume = {292},
ISSN = {0249-6305}
}
@PhdThesis{mazars84a,
Title = {{Application de la m\'ecanique de l'endommagement au comportement non lin\'eaire et \`a la rupture du b\'eton de structure}},
Author = {Mazars, Jacky},
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},
Year = {1988},
Number = {1},
Pages = {69 - 85},
Volume = {67},
ISSN = {0045-7825},
Optdoi = {10.1016/0045-7825(88)90069-2}
}
@Article{newmark59a,
Title = {{A Method of Computation for Structural Dynamics}},
Author = {Nathan M. Newmark},
Journal = {Journal of the Engineering Mechanics Division},
Year = {1959},
Month = {July},
Number = {3},
Pages = {67-94},
Volume = {85},
Editor = {ASCE}
}
@Article{nguyen2001,
Title = {A cohesive model of fatigue crack growth},
Author = {Nguyen, O. and Repetto, E. A. and Ortiz, M. and Radovitzky, R. A.},
Journal = {International Journal of Fracture},
Year = {2001},
Month = aug,
Number = {4},
Pages = {351--369},
Volume = {110},
Doi = {10.1023/A:1010839522926},
ISSN = {0376-9429, 1573-2673},
Language = {en},
Urldate = {2015-02-17}
}
@TechReport{Omohundro:1989,
Title = {Five Balltree Construction Algorithms},
Author = {Stephen M. Omohundro},
Institution = {International Computer Science Institute, University of California at Berkeley},
Year = {1989},
Number = {TR-89-063},
Type = {Technical Report},
Bdsk-url-1 = {http://ftp.icsi.berkeley.edu/ftp/pub/techreports/1989/tr-89-063.pdf},
Date-added = {2014-05-22 09:47:58 +0000},
Date-modified = {2014-05-22 09:47:58 +0000},
Url = {http://ftp.icsi.berkeley.edu/ftp/pub/techreports/1989/tr-89-063.pdf}
}
@Article{ortiz1999,
Title = {Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis},
Author = {Ortiz, M. and Pandolfi, A.},
Journal = {International Journal for Numerical Methods in Engineering (IJNME)},
Year = {1999},
Pages = {1267-1282},
Volume = {44}
}
@Article{ortiz99a,
Title = {Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis},
Author = {M Ortiz and A Pandolfi},
Journal = {International Journal for Numerical Methods in Engineering},
Year = {1999},
Pages = {1267-1282},
Volume = {44}
}
@Article{pandolfi12a,
Title = {An eigenerosion approach to brittle fracture},
Author = {A Pandolfi and M Ortiz},
Journal = {International Journal for Numerical Methods in Engineering},
Year = {2012},
Pages = {694-714},
Volume = {92}
}
@Article{patzak01a,
Title = {Parallel explicit finite element dynamics with nonlocal constitutive models},
Author = {B. Patz{\'a}k and D. Rypl and Z. Bittnar},
Journal = {{Computers \& Structures}},
Year = {2001},
Number = {26--28},
Pages = {2287 - 2297},
Volume = {79},
ISSN = {0045-7949}
}
@PhdThesis{Pietrzak:1997,
Title = {Continuum mechanics modelling and augmented Lagrangian formulation of large deformation frictional contact problems},
Author = {Pietrzak, Grzegorz},
School = {{\'E}cole {P}olytechnique {F}{\'e}d{\'e}rale de {L}ausanne},
Year = {1997},
Date-added = {2014-09-16 12:23:01 +0000},
Date-modified = {2014-09-16 12:41:09 +0000},
Doi = {10.5075/epfl-thesis-1656}
}
@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},
Year = {1987},
Number = {10},
Pages = {1512 - 1533},
Volume = {113}
}
@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)},
Year = {1976},
Pages = {207 - 220},
Volume = {1}
}
@Article{sharon96a,
Title = {Microbranching instability and the dynamic fracture of brittle materials},
Author = {Eran Sharon and Jay Fineberg},
Journal = {Physical Review B},
Year = {1996},
Number = {10},
Pages = {7128 - 7139},
Volume = {54}
}
@Article{silling00a,
Title = {Reformulation of elasticity theory for discontinuities and long-range forces},
Author = {S A Silling},
Journal = {Journal of the Mechanics and Physics of Solids},
Year = {2000},
Pages = {175-209},
Volume = {48}
}
@Book{simo92,
Title = {Computational Inelasticity},
Author = {Simo, J.C. and Hughes, T.J.R.},
Publisher = {Springer},
Year = {1992}
}
@Article{snozzi_cohesive_2013,
Title = {A cohesive element model for mixed mode loading with frictional contact capability},
Author = {Snozzi, Leonardo and Molinari, Jean-Francois},
Journal = {International Journal for Numerical Methods in Engineering},
Year = {2013},
Month = feb,
Number = {5},
Pages = {510--526},
Volume = {93}
}
@Book{Belytschko:2000,
Title = {Nonlinear Finite Elements for Continua and Structures},
Author = {Ted Belytschko, Wing Kam Liu, Brian Moran},
Publisher = {Wiley},
Year = {2000}
}
@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},
Year = {1995},
Number = {4},
Pages = {581 - 588},
Volume = {55},
ISSN = {0045-7949},
Optdoi = {10.1016/0045-7949(94)00501-S}
}
@Unpublished{vocialta15,
Title = {3D dynamic fragmentation with parallel dynamic insertion of cohesive elements},
Author = {M. Vocialta and N. Richart and J.-F. Molinari},
Note = {Submitted to IJNME},
Year = {2015}
}
@Unpublished{wolff14a,
Title = {A non-local continuum damage approach to model dynamic crack branching},
Author = {C. Wolff and N. Richart and J.-F. Molinari},
Note = {Submitted to IJNME},
Year = {2014}
}
@Article{Zhou_Molinari_2004,
Title = {Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency},
Author = {F. Zhou and J. F. Molinari},
Journal = {International Journal for Numerical Methods in Engineering},
Year = {2004},
Timestamp = {2015.07.30}
}
@Misc{abaqus,
Title = {Simulia ABAQUS FEA},
Bdsk-url-1 = {http://www.3ds.com/products-services/simulia/portfolio/abaqus/},
Key = {Unified FEA},
Url = {\url{http://www.3ds.com/products-services/simulia/portfolio/abaqus/}}
}
@Misc{cmake,
Title = {CMake - Cross Platform Make},
Bdsk-url-1 = {http://www.cmake.org/},
Url = {\url{http://www.cmake.org/}}
}
@Misc{diana,
Title = {TNO DIANA},
Bdsk-url-1 = {http://tnodiana.com/content/DIANA},
Key = {FEM},
Url = {\url{http://tnodiana.com/content/DIANA}}
}
@Misc{mayavi,
Title = {The MayaVi Data Visualizer},
Bdsk-url-1 = {http://mayavi.sourceforge.net/},
Url = {\url{http://mayavi.sourceforge.net/}}
}
@Misc{mumps,
Title = {MUMPS : a parallel sparse direct solver},
Bdsk-url-1 = {http://graal.ens-lyon.fr/MUMPS/},
Key = {sparse matrix, direct solver, parallelisme},
Url = {\url{http://graal.ens-lyon.fr/MUMPS/}}
}
@Misc{numpy,
Title = {NumPy - Fundamental package for scientific computing with Python},
Bdsk-url-1 = {http://www.numpy.org/},
Url = {\url{http://www.numpy.org/}}
}
@Misc{paraview,
Title = {ParaView - Open Source Scientific Visualization},
Bdsk-url-1 = {http://www.paraview.org/},
Url = {\url{http://www.paraview.org/}}
}
@Misc{scotch,
Title = {SCOTCH: Static Mapping, Graph, Mesh and Hypergraph Partitioning},
Bdsk-url-1 = {http://www.labri.fr/perso/pelegrin/scotch/},
Url = {\url{http://www.labri.fr/perso/pelegrin/scotch/}}
}
@Misc{visit,
Title = {VisIt Visualization Tool},
Bdsk-url-1 = {http://wci.llnl.gov/codes/visit/},
Url = {\url{http://wci.llnl.gov/codes/visit/}}
}
@Article{de_borst_finiteelement_1994,
title = {Finite‐{Element} {Modeling} of {Deformation} and {Cracking} in {Early}‐{Age} {Concrete}},
volume = {120},
copyright = {Copyright © 1994 American Society of Civil Engineers},
issn = {0733-9399},
url = {https://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%281994%29120%3A12%282519%29},
doi = {10.1061/(ASCE)0733-9399(1994)120:12(2519)},
language = {EN},
number = {12},
urldate = {2021-06-16},
journal = {Journal of Engineering Mechanics},
author = {de Borst, René and van den Boogaard, A. H.},
month = dec,
year = {1994},
note = {Publisher: American Society of Civil Engineers},
keywords = {Concrete, Cracking, Creep, Finite element method, Thermal stresses},
pages = {2519--2534},
}
@Misc{diana_manual,
title = {Diana {User}'s {Manual}},
url = {https://dianafea.com/manuals/d105/Diana.html},
urldate = {2021-06-16},
}
@article{francfort_marigo,
title = {Revisiting brittle fracture as an energy minimization problem},
volume = {46},
issn = {0022-5096},
url = {http://www.sciencedirect.com/science/article/pii/S0022509698000349},
doi = {10.1016/S0022-5096(98)00034-9},
number = {8},
journal = {Journal of the Mechanics and Physics of Solids},
author = {Francfort, G. A. and Marigo, J. -J.},
month = aug,
year = {1998},
pages = {1319--1342}
}
@book{coulomb,
title = {Théorie des machines simples en ayant égard au frottement de leurs parties et à la roideur des cordages},
publisher = {Bachelier},
author = {Coulomb, Charles Augustin},
year = {1821}
}
@article{bourdin,
title = {Numerical experiments in revisited brittle fracture},
volume = {48},
issn = {0022-5096},
url = {https://www.sciencedirect.com/science/article/pii/S0022509699000289},
doi = {10.1016/S0022-5096(99)00028-9},
number = {4},
journal = {Journal of the Mechanics and Physics of Solids},
author = {Bourdin, B. and Francfort, G. A. and Marigo, J-J.},
year = {2000},
pages = {797--826}
}
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