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biblio.bib
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@STRING{cmame = "Computer Methods in Applied Mechanics and Engineering"}
@STRING{cras = "Comptes Rendus de l'Acad\'emie des Sciences" }
@STRING{ijnme = "International Journal for Numerical Methods in Engineering" }
@article{bertailsdescoubes:inria-00557706,
AUTHOR = {Bertails-Descoubes, F. and Cadoux, F. and Daviet,
G. and Acary, V.},
TITLE = {{A Nonsmooth Newton Solver for Capturing Exact
Coulomb Friction in Fiber Assemblies}},
JOURNAL = {{ACM Transactions on Graphics}},
PUBLISHER = {ACM},
YEAR = 2011,
MONTH = Jan,
KEYWORDS = {Contact, Coulomb friction, dynamics of thin elastic
rods, constraint-based method, knot tying, hair
simulation},
URL = {http://hal.inria.fr/inria-00557706}
}
@article{Jean1999,
author = {Jean, M.},
title = {The Non Smooth Contact Dynamics Method},
journal = cmame,
pages = {235-257},
year = 1999,
volume = 177,
note = {Special issue on computational modeling of contact
and friction, J.A.C. Martins and A. Klarbring,
editors},
editor = {Martins, J.A.C. and Klarbring, A.}
}
@inproceedings{Acary.Jean98,
crossref = {Monument98},
author = {Acary, V. and Jean, M.},
title = {Numerical simulation of monuments by the contacts
dynamics method},
pages = {69-78}
}
@proceedings{Monument98,
editor = {DGEMN-LNEC-JRC},
title = {Monument-98},
year = 1998,
month = {November 12-14},
booktitle = {Monument-98, Workshop on seismic perfomance of
monuments},
adress = {Lisboa, Portugal},
publisher = {Laborat\'orio Nacional de engenharia Civil (LNEC)}
}
@Book{Facchinei.Pang2003,
author = {Facchinei,F. and Pang, J. S. },
title = {Finite-dimensional Variational Inequalities and
Complementarity Problems},
publisher = {Springer Verlag NY. Inc.},
year = 2003,
volume = { I \& II},
series = {Springer Series in Operations Research}
}
@Article{DeSaxce92,
author = {De Saxc\'e, G.},
title = {Une g\'en\'eralisation de l'in\'egalit\'e de
{F}enchel et ses applications aux lois
constitutives},
journal = cras,
year = 1992,
volume = {t 314,série II},
pages = {125-129}
}
@article {Acary.ea_ZAMM2011,
author = {Acary, V. and Cadoux, F. and Lemar\'echal, C. and
Malick, J.},
title = {A formulation of the linear discrete Coulomb
friction problem via convex optimization},
journal = {ZAMM - Journal of Applied Mathematics and Mechanics
/ Zeitschrift f\"ur Angewandte Mathematik und
Mechanik},
volume = 91,
number = 2,
publisher = {WILEY-VCH Verlag},
issn = {1521-4001},
url = {http://dx.doi.org/10.1002/zamm.201000073},
doi = {10.1002/zamm.201000073},
pages = {155--175},
keywords = {Nonsmooth mechanics, contact mechanics, Coulomb
friction, Painlevé's problem, fixed-point theorem,
convex analysis, convex optimization, second-order
cone programming.},
year = 2011,
abstract = {This paper presents a new formulation of the
dynamical Coulomb friction problem in finite
dimension with discretized time. The novelty of our
approach is to capture and treat directly the
friction model as a parametric quadratic
optimization problem with second-order cone
constraints coupled with a fixed point
equation. This intrinsic formulation allows a simple
existence proof under reasonable assumptions, as
well as a variety of solution algorithms. We study
mechanical interpretations of these assumptions,
showing in particular that they are actually
necessary and sufficient for a basic example similar
to the so-called “paradox of Painlevé”. Finally, we
present some implementations and experiments to
illustrate the practical aspect of our work.},
}
@article{Klarbring.Pang1998,
author = {Anders Klarbring and Jong-Shi Pang},
title = {Existence of Solutions to Discrete Semicoercive
Frictional Contact Problems},
journal = {SIAM Journal on Optimization},
issn = {1052-6234},
pages = {414--442},
volume = 8,
number = 2,
year = 1998
}
@article{Jourdan.Alart.ea98,
author = {Jourdan, F. and Alart, P. and Jean, M.},
title = {A {G}auss {S}eidel like algorithm to solve
frictional contact problems},
journal = cmame,
pages = {31-47},
year = 1998,
volume = 155,
number = 1
}
@article{Alart.Curnier1991,
author = {Alart, P. and Curnier, A.},
title = {A mixed formulation for frictional contact problems
prone to \uppercase{N}ewton like solution method},
journal = cmame,
pages = {353-375},
year = 1991,
volume = 92,
number = 3
}
@Article{Mitsopoulou.Doudoumis1987,
author = {Mitsopoulou, E.N. and Doudoumis, I.N.},
title = {A contribution to the analysis of unilateral contact
problems with friction},
journal = {Solid Mechanics Archives},
year = 1987,
volume = 12,
number = 3,
pages = {165--186}
}
@book{Acary.Brogliato2008,
author = "Acary, V. and Brogliato, B.",
title = "{Numerical methods for nonsmooth dynamical
systems. Applications in mechanics and
electronics.}",
language = "English",
publisher = "{Lecture Notes in Applied and Computational
Mechanics 35. Berlin: Springer. xxi, 525~p. }",
year = 2008,
abstract = "{This book concerns the numerical simulation of
dynamical systems whose trajectories may be not
differentiable. These systems are called nonsmooth
dynamical systems, and they represent an important
class of systems, firstly because of many
applications in which nonsmooth models are useful,
secondly because they give rise to new problems in
various fields of mathematics and computational
mechanics. The book is divided into three parts.
The first part presents the formulation of nonsmooth
dynamical systems, with model problems from
mechanics, electricity and control, as well as
useful material from convex and nonsmooth analysis
related to differential inclusions, variational
inequalities, and complementarity systems. The model
applications are taken from multibody systems with
contact, impact and friction, and from electrical
circuits with piecewise linear and ideal components.
The second part deals with numerical
time-integration schemes, which can be divided into
event-driven schemes and time-stepping schemes. The
third part is devoted to one-step nonsmooth problem
solvers, and includes techniques suitable for the
solution of variational inequalities, nonlinear
programming problems and complementarity
problems. The one-step problems include the
nonlinear models known as holonomic models, which
have a long tradition in engineering mechanics (cf.
unilateral contact for static elastic bodies, the
holonomic or Hencky model of plasticity). Nonsmooth
modelling in mechanics is based on the seminal works
of J. J. Moreau and T. Rockafellar on convex
analysis and its usage in contact mechanics and
elastoplasticity, as well as on later extensions to
nonconvex problems by P. D. Panagiotopoulos. This
development has been documented in a number of
research monographs like [{\it R. T. Rockafellar},
Convex Analysis. Princeton Landmarks in
Mathematics. Princeton, NJ: Princeton University
Press (1997; Zbl 0932.90001); {\it P. D.
Panagiotopoulos}, Inequality problems in mechanics
and applications. Convex and nonconvex energy
functions. Boston-Basel-Stuttgart: Birkh\"{a}user
(1985; Zbl 0579.73014); {\it J. J. Moreau,
P. D. Panagiotopoulos}, Nonsmooth mechanics and
applications. CISM Courses and Lectures, 302. Wien
etc.: Springer-Verlag (1988; Zbl 0652.00016)] and in
many others. Practical applications of nonsmooth
mechanics are also presented in research monographs,
see e.g. [{\it F. Pfeiffer, C. Glocker}, Multibody
dynamics with unilateral contacts. CISM Courses and
Lectures. 421. Wien etc.: Springer-Verlag (2000; Zbl
0960.00025)]. The present book is a research
monograph with numerous information and references
to original publications which gives to the book an
encyclopaedic nature. The wealth of information and
solution methods mentioned in this book certainly
shows that the area of nonsmooth mechanics has
arrived a level of maturity that allows for serious
industrial applications, without loosing its
attractiveness for research purposes. The parallel
presentation of nonsmooth models in mechanics and
electronics indicates that the mentioned effects
will also be of interest for people working in
mechatronics, microelectromechanics and
multiphysics. The book is intended for graduate
students and scientists doing research and
development in mechanics and electrical engineering,
designers of modern electromechanical devices, as
well as to researchers from other scientific
communities like applied mathematics, robotics,
civil and mechanical engineering, mechatronics,
virtual reality, etc.}",
reviewer = "{Georgios E. Stavroulakis (Chania)}",
keywords = "{unilateral contact; complementarity problems;
mathematical programming; event-driven schemes;
time-stepping schemes}",
classmath = "{*74-02 (Research monographs (mechanics of
deformable solids)) 49-02 (Research monographs
(calculus of variations)) 74M15 (Contact) 49J40
(Variational methods including variational
inequalities) 65Kxx (Numerical methods in
mathematical programming and optimization) 74Sxx
(Numerical methods in solid mechanics) }",
}
@incollection{Jean.Moreau1987,
author = {Jean, M. and Moreau, {{J.J.}}},
editor = {Del Pietro, G. and Maceri, F.},
title = {Dynamics in the presence of unilateral contacts and
dry friction: a numerical approach},
booktitle = {Unilateral problems in structural analysis. II},
year = 1987,
pages = {151--196},
publisher = {CISM 304, Spinger Verlag},
adress = {Wien}
}
@article{DolanMore_MP2002,
title={Benchmarking optimization software with performance profiles},
author={Dolan, E.D. and Mor{\'e}, J.J.},
journal={Mathematical Programming},
volume={91},
number={2},
pages={201--213},
year={2002},
publisher={Springer}
}
@Article{Christensen.Klarbring.ea1998,
author = "P. Christensen and A. Klarbring and J. Pang and
N. Stromberg",
title = "Formulation and comparison of algorithms for
frictional contact problems",
year = 1998,
journal = ijnme,
volume = 42,
pages = {145--172}
}
@article{Amestoy.ea_SIAMMAA2001,
AUTHOR = {Amestoy, Patrick R. and Duff, Iain S. and L'Excellent,
Jean-Yves and Koster, Jacko},
TITLE = {A fully asynchronous multifrontal solver using distributed
dynamic scheduling},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {23},
YEAR = {2001},
NUMBER = {1},
PAGES = {15--41 (electronic)},
ISSN = {0895-4798},
MRCLASS = {65F05 (65F50 65Y05 68W15)},
MRNUMBER = {1856597},
DOI = {10.1137/S0895479899358194},
URL = {http://dx.doi.org/10.1137/S0895479899358194},
}
@article {Amestoy.ea_PC2006,
AUTHOR = {Amestoy, Patrick R. and Guermouche, Abdou and L'Excellent,
Jean-Yves and Pralet, St{\'e}phane},
TITLE = {Hybrid scheduling for the parallel solution of linear systems},
JOURNAL = {Parallel Comput.},
FJOURNAL = {Parallel Computing. Theory and Applications},
VOLUME = {32},
YEAR = {2006},
NUMBER = {2},
PAGES = {136--156},
ISSN = {0167-8191},
CODEN = {PACOEJ},
MRCLASS = {65Y05 (65F05 65F50 68W10)},
MRNUMBER = {2202663},
DOI = {10.1016/j.parco.2005.07.004},
URL = {http://dx.doi.org/10.1016/j.parco.2005.07.004},
}
@Misc{siconos,
author = {Acary, V. and Br\'emond, M. and Huber, O. and P\'erignon, F.},
title = {Siconos. A software for modeling and simulation of nonsmooth
dynamical systems},
howpublished = {\url{http://siconos.gforge.inria.fr}, \url{https://github.com/siconos/siconos}}
}
@techreport{acary:hal-00945820,
TITLE = {{FCLIB: a collection of discrete 3D Frictional Contact problems}},
AUTHOR = {Acary, V. and Br{\'e}mond, M. and Koziara, T. and P{\'e}rignon, F.},
URL = {https://hal.inria.fr/hal-00945820},
TYPE = {Technical Report},
INSTITUTION= {INRIA},
NUMBER = {RT-0444},
PAGES = {34},
YEAR = {2014},
MONTH = Feb,
HAL_ID = {hal-00945820},
HAL_VERSION = {v2},
howpublished = {\url{https://github.com/FrictionalContactLibrary/fclib}}
}
@inproceedings{dubois2003lmgc90,
title={LMGC90 une plateforme de d{\'e}veloppement d{\'e}di{\'e}e {\`a} la mod{\'e}lisation des probl{\`e}mes d’interaction},
author={Dubois, F and Jean, M},
booktitle={Actes du sixieme colloque national en calcul des structures},
volume={1},
pages={111--118},
year={2003}
}