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literature.bib
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@Article{Nguyen2014,
author="Nguyen, Van-Manh
and Konietzky, Heinz
and Fr{\"u}hwirt, Thomas",
title="New Methodology to Characterize Shear Behavior of Joints by Combination of Direct Shear Box Testing and Numerical Simulations",
journal="Geotechnical and Geological Engineering",
year="2014",
month="Aug",
day="01",
volume="32",
number="4",
pages="829--846",
issn="1573-1529",
doi="10.1007/s10706-014-9761-8",
url="https://doi.org/10.1007/s10706-014-9761-8"
}
@article{Bourdin2000,
Author = {Bourdin, B. and Francfort, G.A. and Marigo, J.-J.},
Journal = {J. Mech. and Phys. of Solids},
Number = {4},
Pages = {797-826},
Title = {Numerical experiments in revisited brittle fracture},
Volume = {48},
Year = {2000}}
@article{Francfort1998,
Author = {Francfort, G.A. and Marigo, J.-J},
Journal = {J. Mech. and Phys. of Solids},
Number = {8},
Pages = {1319-1342},
Title = {Revisiting brittle fracture as an energy minimization problem},
Volume = {46},
Year = {1998}}
@article{Bourdin2008,
Author = {Bourdin, B. and Francfort, G.A. and Marigo, J.-J.},
Journal = {Journal of Elasticity},
Number = {1-3},
Pages = {5-148},
Title = {The variational approach to fracture},
Volume = {91},
Year = {2008}}
@article{Hakim2009,
author = {Hakim, V. and Karma, A.},
doi = {10.1016/j.jmps.2008.10.012},
issn = {00225096},
journal = {Journal of the Mechanics and Physics of Solids},
keywords = {Anisotropy,Eshelby tensor,Fracture,Herring torque,Phase field},
number = {2},
pages = {342--368},
title = {{Laws of crack motion and phase-field models of fracture}},
volume = {57},
year = {2009}
}
@article{Amor2009,
archivePrefix = {arXiv},
arxivId = {arXiv:1011.1669v3},
author = {Amor, Hanen and Marigo, Jean-jacques and Maurini, Corrado},
doi = {10.1016/j.cardiores.2006.11.005},
eprint = {arXiv:1011.1669v3},
isbn = {9780415524957},
issn = {2173-5808},
journal = {Journal of Mechanics and Physics of Solids},
keywords = {calcium,calmodulin,cam kinase,e-c coupling,heart},
number = {8},
pages = {1209--1229},
pmid = {25081808},
title = {{Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments}},
volume = {57},
year = {2009}
}
@article{Vignollet2014,
author = {Vignollet, Julien and May, Stefan and de Borst, Ren{\'{e}} and Verhoosel, Clemens V.},
doi = {10.1007/s11012-013-9862-0},
isbn = {1101201398},
issn = {00256455},
journal = {Meccanica},
keywords = {Brittle fracture,Cohesive fracture,Damage,Phase-field models},
number = {11},
pages = {2587--2601},
title = {{Phase-field models for brittle and cohesive fracture}},
volume = {49},
year = {2014}
}
@article{Wu2017,
title = "A unified phase-field theory for the mechanics of damage and quasi-brittle failure",
journal = "Journal of the Mechanics and Physics of Solids",
volume = "103",
pages = "72 - 99",
year = "2017",
issn = "0022-5096",
doi = "https://doi.org/10.1016/j.jmps.2017.03.015",
url = "http://www.sciencedirect.com/science/article/pii/S0022509616308341",
author = "J.-Y. Wu",
keywords = "Phase-field theory, Quasi-brittle failure, Damage, Fracture, Cohesive crack, Concrete",
}
@article{Tanne2018,
Author = {Tann{\'e}, E. and Li, T. and Bourdin, B. and Marigo, J-J. and Maurini, C.},
Doi = {10.1016/j.jmps.2017.09.006},
Journal = {J. Mech. Phys. Solids},
Pages = {80-99},
Title = {Crack nucleation in variational phase-field models of brittle fracture},
Volume = {110},
Year = {2018},
}
@article{Gerasimov2016,
title = "A line search assisted monolithic approach for phase-field computing of brittle fracture",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "312",
pages = "276 - 303",
year = "2016",
note = "Phase Field Approaches to Fracture",
issn = "0045-7825",
doi = "https://doi.org/10.1016/j.cma.2015.12.017",
url = "http://www.sciencedirect.com/science/article/pii/S0045782515004235",
author = "T. Gerasimov and L. De Lorenzis",
keywords = "Phase-field, Fracture, Staggered, Monolithic, Line search",
}
@article{Farrell2017,
author = {Farrell, P. and Maurini, C.},
doi = {10.1002/nme.5300},
issn = {10970207},
journal = {International Journal for Numerical Methods in Engineering},
keywords = {Newton's method,damage,fracture,nonlinear Gauss–Seidel,phase-field,variational methods},
number = {5},
pages = {648--667},
title = {{Linear and nonlinear solvers for variational phase-field models of brittle fracture}},
volume = {109},
year = {2017}
}
@article{Miehe2015_thermo,
archivePrefix = {arXiv},
arxivId = {arXiv:1011.1669v3},
author = {Miehe, C. and Hofacker, M. and Sch{\"{a}}nzel, L. M. and Aldakheel, F.},
journal = {Computer Methods in Applied Mechanics and Engineering},
doi = {10.1016/j.cma.2014.11.017},
eprint = {arXiv:1011.1669v3},
isbn = {4971168566379},
issn = {00457825},
keywords = {Crack propagation,Crazing,Ductile fracture,Dynamic fracture,Phase field modeling,Thermo-plasticity},
pages = {486--522},
pmid = {15664853},
publisher = {Elsevier B.V.},
title = {{Phase field modeling of fracture in multi-physics problems. Part II. Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic-plastic solids}},
volume = {294},
year = {2015}
}
@article{Sargado2018,
title = "High-accuracy phase-field models for brittle fracture based on a new family of degradation functions",
journal = "Journal of the Mechanics and Physics of Solids",
volume = "111",
pages = "458 - 489",
year = "2018",
issn = "0022-5096",
doi = "https://doi.org/10.1016/j.jmps.2017.10.015",
url = "http://www.sciencedirect.com/science/article/pii/S0022509617303812",
author = "J.M. Sargado and E. Keilegavlen and I. Berre and J.M. Nordbotten",
keywords = "Fracture, Phase-field, Degradation function, Damage",
}
@article{Ambati2015,
archivePrefix = {arXiv},
arxivId = {arXiv:1011.1669v3},
author = {Ambati, M. and Gerasimov, T. and {De Lorenzis}, L.},
doi = {10.1007/s00466-015-1151-4},
eprint = {arXiv:1011.1669v3},
isbn = {0046601511514},
issn = {01787675},
journal = {Computational Mechanics},
keywords = {Elastic–plastic solids,Finite element,Fracture,Phase-field model},
number = {5},
pages = {1017--1040},
pmid = {15664853},
publisher = {Springer Berlin Heidelberg},
title = {{Phase-field modeling of ductile fracture}},
url = {http://dx.doi.org/10.1007/s00466-015-1151-4},
volume = {55},
year = {2015}
}
@article{Marigo2016,
Author = {Marigo, J.-J. and Maurini, C. and Pham, K.},
Doi = {10.1007/s11012-016-0538-4},
Issn = {1572-9648},
Journal = {Meccanica},
Number = {12},
Pages = {3107--3128},
Title = {An overview of the modelling of fracture by gradient damage models},
Url = {http://dx.doi.org/10.1007/s11012-016-0538-4},
Volume = {51},
Year = {2016},
}
@article{Kuhn2010,
author = {Kuhn, C. and M{\"{u}}ller, R.},
doi = {10.1016/j.engfracmech.2010.08.009},
issn = {00137944},
journal = {Engineering Fracture Mechanics},
keywords = {Energy release rate,Energy-momentum tensor (Eshelby tensor),Finite elements,Fracture,J-integral,Phase field},
number = {18},
pages = {3625--3634},
publisher = {Elsevier Ltd},
title = {{A continuum phase field model for fracture}},
url = {http://dx.doi.org/10.1016/j.engfracmech.2010.08.009},
volume = {77},
year = {2010}
}
@article{Pham2011,
Author = {Pham, K. and Amor, H. and Marigo, J.-J. and Maurini, C.},
Doi = {10.1177/1056789510386852},
Issn = {1056-7895},
Journal = {Int. J. Damage Mech.},
Number = {4, SI},
Pages = {618-652},
Title = {Gradient Damage Models and Their Use to Approximate Brittle Fracture},
Url = {http://dx.doi.org/10.1177/1056789510386852},
Volume = {20},
Year = {2011},
}
@article{Verhoosel2010,
archivePrefix = {arXiv},
arxivId = {1010.1724},
author = {Verhoosel, C.V. and {de Borst}, R.},
doi = {10.1002/nme},
eprint = {1010.1724},
isbn = {978-1-4577-0079-8},
issn = {0743-1619},
journal = {International Journal for Numerical Methods in Engineering},
keywords = {nonlinear analysis,reinforced concrete,sectional analysis},
pages = {1--20},
pmid = {260949200001},
title = {{A phase-field model for cohesive fracture}},
volume = {00},
year = {2010}
}
@Inbook{Alessi2018,
author="Alessi, R.
and Ambati, M.
and Gerasimov, T.
and Vidoli, S.
and De Lorenzis, L.",
title="Comparison of Phase-Field Models of Fracture Coupled with Plasticity",
bookTitle="Advances in Computational Plasticity: A Book in Honour of D. Roger J. Owen",
year="2018",
publisher="Springer International Publishing",
address="Cham",
pages="1--21",
isbn="978-3-319-60885-3",
doi="10.1007/978-3-319-60885-3_1",
url="https://doi.org/10.1007/978-3-319-60885-3_1"
}
@article{Kuhn2016,
author = {Kuhn, C. and Noll, T. and M{\"{u}}ller, R.},
doi = {10.1002/gamm.201610003},
file = {:Users/yoshioka/Documents/Mendeley{\_}files/kuhn2016-2.pdf:pdf},
issn = {09367195},
journal = {GAMM Mitteilungen},
keywords = {ductile fracture,elastic-plastic solids,finite elements,phase field model},
number = {1},
pages = {35--54},
title = {{On phase field modeling of ductile fracture}},
volume = {39},
year = {2016}
}
@article{Alessi2017,
author = {Alessi, R. and Marigo, J. -J. and Maurini, C. and Vidoli, S.},
doi = {10.1016/j.ijmecsci.2017.05.047},
isbn = {0020-7403},
issn = {00207403},
journal = {International Journal of Mechanical Sciences},
keywords = {Cohesive fracture,Ductile fracture,Phase-field,Variational methods},
pages = {1--18},
publisher = {Elsevier Ltd},
title = {{Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples}},
url = {http://dx.doi.org/10.1016/j.ijmecsci.2017.05.047},
year = {2017}
}
@article{Seiler2018,
author = {Seiler, M. and Hantschke, P. and Brosius, A. and K{\"{a}}stner, M.},
doi = {10.1002/pamm.201800207},
file = {:Users/yoshioka/Documents/Mendeley{\_}files/seiler2018.pdf:pdf},
journal = {Pamm},
number = {1},
pages = {e201800207},
title = {{A numerically efficient phase-field model for fatigue fracture - 1D analysis}},
volume = {18},
year = {2018}
}
@article{Maurini2013,
author = {Maurini, C. and Bourdin, B. and Gauthier, G. and Lazarus, V.},
doi = {10.1007/s10704-013-9824-5},
issn = {03769429},
journal = {International Journal of Fracture},
keywords = {Brittle fracture mechanics,Drying of a colloidal suspension,Free-discontinuity problems,Griffith's fracture energy,Shrinkage cracks,Variational approach to fracture},
number = {1-2},
pages = {75--91},
title = {{Crack patterns obtained by unidirectional drying of a colloidal suspension in a capillary tube: Experiments and numerical simulations using a two-dimensional variational approach}},
volume = {184},
year = {2013}
}
@article{Cajuhi2017,
author = {Cajuhi, T. and Sanavia, L. and {De Lorenzis}, Laura},
doi = {10.1007/s00466-017-1459-3},
issn = {01787675},
journal = {Computational Mechanics},
keywords = {Desiccation,Fracture,Phase-field modeling,Porous media mechanics,Variably saturated conditions},
pages = {1--20},
publisher = {Springer Berlin Heidelberg},
title = {{Phase-field modeling of fracture in variably saturated porous media}},
year = {2017}
}
@article{Borden2012,
author = {Borden, M.J. and Verhoosel, C.V. and Scott, M.A. and Hughes, T.J.R. and Landis, C.M.},
doi = {10.1016/j.cma.2012.01.008},
isbn = {0045-7825},
issn = {00457825},
journal = {Computer Methods in Applied Mechanics and Engineering},
keywords = {Adaptive refinement,Fracture mechanics,Isogeometric analysis,Phase field,T-splines},
pages = {77--95},
publisher = {Elsevier B.V.},
title = {{A phase-field description of dynamic brittle fracture}},
url = {http://dx.doi.org/10.1016/j.cma.2012.01.008},
volume = {217-220},
year = {2012}
}
@article{Hofacker2012,
author = {Hofacker, M. and Miehe, C.},
doi = {10.1007/s10704-012-9753-8},
file = {:Users/yoshioka/Documents/Mendeley{\_}files/Hofacker-Miehe2012{\_}Article{\_}ContinuumPhaseFieldModelingOfD.pdf:pdf},
issn = {03769429},
journal = {International Journal of Fracture},
keywords = {Coupled multi-field problems,Crack branching,Dynamic fracture,Incremental variational principles,Phase field modeling},
number = {1-2},
pages = {113--129},
title = {{Continuum phase field modeling of dynamic fracture: Variational principles and staggered FE implementation}},
volume = {178},
year = {2012}
}
@article{Schluter2014,
author = {Schl{\"{u}}ter, A. and Willenb{\"{u}}cher, A. and Kuhn, C. and M{\"{u}}ller, R.},
doi = {10.1007/s00466-014-1045-x},
issn = {01787675},
journal = {Computational Mechanics},
keywords = {Dynamic brittle fracture,Finite element implementation,Phase field},
number = {5},
pages = {1141--1161},
title = {{Phase field approximation of dynamic brittle fracture}},
volume = {54},
year = {2014}
}
@article{Li2016,
archivePrefix = {arXiv},
arxivId = {1010.1724},
author = {Li, T. and Marigo, J.-J. and Guilbaud, D. and Potapov, S.},
doi = {10.1002/nme},
eprint = {1010.1724},
isbn = {978-1-4577-0079-8},
issn = {0743-1619},
journal = {International Journal for Numerical Methods in Engineering},
keywords = {dislocation,molecular dynamics,multiscale simulation,nanomechanics,non-equilibrium},
number = {March},
pages = {1--25},
pmid = {260949200001},
title = {{Gradient damage modeling of brittle fracture in an explicit dynamic context}},
volume = {00},
year = {2016}
}
@article {Miehe2010a,
author = {Miehe, C. and Welschinger, F. and Hofacker, M.},
title = {Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations},
journal = {International Journal for Numerical Methods in Engineering},
volume = {83},
number = {10},
publisher = {John Wiley & Sons, Ltd.},
issn = {1097-0207},
url = {http://dx.doi.org/10.1002/nme.2861},
doi = {10.1002/nme.2861},
pages = {1273--1311},
keywords = {fracture, crack propagation, phase-fields, gradient-type damage, incremental variational principles, finite elements, coupled multi-field problems},
year = {2010},
}
@article{Bourdin2014,
archivePrefix = {arXiv},
arxivId = {1310.0501},
author = {Bourdin, Blaise and Marigo, Jean Jacques and Maurini, Corrado and Sicsic, Paul},
doi = {10.1103/PhysRevLett.112.014301},
eprint = {1310.0501},
issn = {00319007},
journal = {Physical Review Letters},
number = {1},
pages = {1--5},
pmid = {24483901},
title = {{Morphogenesis and propagation of complex cracks induced by thermal shocks}},
volume = {112},
year = {2014}
}
@inproceedings{Bourdin2012,
author = {Bourdin, Blaise and Chukwudozie, Chukwudi P. and Yoshioka, Keita},
booktitle = {the 2012 SPE Annual Technical Conference and Exhibition},
doi = {10.2118/159154-ms},
title = {{A Variational Approach to the Numerical Simulation of Hydraulic Fracturing}},
year = {2012}
}
@Article{Watanabe2012,
author = {Watanabe, N and Wang, W and Taron, J and G{\"o}rke, UJ and Kolditz, O},
title = {{Lower-dimensional interface elements with local enrichment: application to coupled hydro-mechanical problems in discretely fractured porous media}},
journal = {International Journal for Numerical Methods in Engineering},
year = {2012},
volume = {90},
number = {8},
pages = {1010--1034},
owner = {nagelt},
publisher = {Wiley Online Library},
timestamp = {2013.11.10},
url = {http://onlinelibrary.wiley.com/doi/10.1002/nme.3353/full},
}
@Article{Moees1999,
author = {Mo{\"e}s, Nicolas and Dolbow, John and Belytschko, Ted},
title = {A finite element method for crack growth without remeshing},
journal = {International journal for numerical methods in engineering},
year = {1999},
volume = {46},
number = {1},
pages = {131--150},
publisher = {Wiley Online Library},
}
@article{belytschko2001arbitrary,
title={Arbitrary discontinuities in finite elements},
author={Belytschko, Ted and Mo{\"e}s, Nicolas and Usui, Shuji and Parimi, Chandu},
journal={International Journal for Numerical Methods in Engineering},
volume={50},
number={4},
pages={993--1013},
year={2001},
publisher={Wiley Online Library}
}
@Article{Belytschko2009,
author = {Ted Belytschko and Robert Gracie and Giulio Ventura},
title = {A review of extended/generalized finite element methods for material modeling},
journal = {Modelling and Simulation in Materials Science and Engineering},
year = {2009},
volume = {17},
number = {4},
pages = {043001},
abstract = {The extended and generalized finite element methods are reviewed with an emphasis on their applications to problems in material science: (1) fracture, (2) dislocations, (3) grain boundaries and (4) phases interfaces. These methods facilitate the modeling of complicated geometries and the evolution of such geometries, particularly when combined with level set methods, as for example in the simulation growing cracks or moving phase interfaces. The state of the art for these problems is described along with the history of developments.},
url = {http://stacks.iop.org/0965-0393/17/i=4/a=043001},
}
@article{needleman1990analysisb,
title={An analysis of tensile decohesion along an interface},
author={Needleman, A},
journal={Journal of the Mechanics and Physics of Solids},
volume={38},
number={3},
pages={289--324},
year={1990},
publisher={Elsevier}
}
@article{Elices2002,
title={The cohesive zone model: advantages, limitations and challenges},
author={Elices, MGGV and Guinea, GV and Gomez, J and Planas, J},
journal={Engineering fracture mechanics},
volume={69},
number={2},
pages={137--163},
year={2002},
publisher={Elsevier}
}
@Article{Meschke2015,
author = {Meschke, G{\"u}nther and Leonhart, Dirk},
title = {A Generalized Finite Element Method for hydro-mechanically coupled analysis of hydraulic fracturing problems using space-time variant enrichment functions},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2015},
volume = {290},
pages = {438--465},
publisher = {Elsevier},
}
@book{Murakami2012,
title={Continuum damage mechanics: a continuum mechanics approach to the analysis of damage and fracture},
author={Murakami, Sumio},
volume={185},
year={2012},
publisher={Springer Science \& Business Media}
}
@book{Lemaitre2009,
title={M{\'e}canique des mat{\'e}riaux solides-3eme {\'e}dition},
author={Lemaitre, Jean and Chaboche, Jean-Louis and Benallal, Ahmed and Desmorat, Rodrigue},
year={2009},
publisher={Dunod}
}
@article{Bazant2002,
author = {Bazant, Z, P and Jirasek, M},
title = {Nonlocal integral formulations of plasticity and damage:
survey of progress},
journal = {Journal of Engineering Mechanics},
volume={128},
pages={1119--1149},
year={2002},
}
@article{Duddu2013,
title={A nonlocal continuum damage mechanics approach to simulation of creep fracture in ice sheets},
author={Duddu, Ravindra and Waisman, Haim},
journal={Computational Mechanics},
pages={1--14},
year={2013},
publisher={Springer}
}
@article{Nguyen2015,
title={A nonlocal coupled damage-plasticity model for the analysis of ductile failure},
author={Nguyen, Giang D and Korsunsky, Alexander M and Belnoue, Jonathan P-H},
journal={International Journal of Plasticity},
volume={64},
pages={56--75},
year={2015},
publisher={Elsevier}
}
@article{Desmorat2015,
title={Nonlocal models with damage-dependent interactions motivated by internal time},
author={Desmorat, Rodrigue and Gatuingt, Fabrice and Jir{\'a}sek, Milan},
journal={Engineering Fracture Mechanics},
volume={142},
pages={255--275},
year={2015},
publisher={Elsevier}
}
@article{Parisio2018,
title={Experimental characterization and numerical modelling of fracture processes in granite},
author={Parisio, Francesco and Tarokh, Ali and Makhnenko, Roman and Naumov, Dmitri and Miao, Xing-Yuan and Kolditz, Olaf and Nagel, Thomas},
year={2018},
journal={International Journal of Solids and Structures (accepted)},
institution={Elsevier}
}
@Article{Borst2016,
author = {de Borst, Ren{\'e} and Verhoosel, Clemens V},
title = {Gradient damage vs phase-field approaches for fracture: Similarities and differences},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2016},
volume = {312},
pages = {78--94},
publisher = {Elsevier},
}
@article{Kuhl2000,
title={An anisotropic gradient damage model for quasi-brittle materials},
author={Kuhl, Ellen and Ramm, Ekkehard and de Borst, Ren{\'e}},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={183},
number={1},
pages={87--103},
year={2000},
publisher={Elsevier}
}
@article{Parisio2015,
title={Constitutive analysis of shale: a coupled damage plasticity approach},
author={Parisio, Francesco and Samat, Sergio and Laloui, Lyesse},
journal={International Journal of Solids and Structures},
volume={75},
pages={88--98},
year={2015},
publisher={Elsevier}
}
@Article{Nagel2016a,
author = {Nagel, Thomas and G{\"o}rke, Uwe-Jens and Moerman, Kevin M. and Kolditz, Olaf},
title = {On advantages of the Kelvin mapping in finite element implementations of deformation processes},
journal = {Environmental Earth Sciences},
year = {2016},
volume = {75},
number = {11},
pages = {1--11},
issn = {1866-6299},
abstract = {Classical continuum mechanical theories operate on three-dimensional Euclidian space using scalar, vector, and tensor-valued quantities usually up to the order of four. For their numerical treatment, it is common practice to transform the relations into a matrix--vector format. This transformation is usually performed using the so-called Voigt mapping. This mapping does not preserve tensor character leaving significant room for error as stress and strain quantities follow from different mappings and thus have to be treated differently in certain mathematical operations. Despite its conceptual and notational difficulties having been pointed out, the Voigt mapping remains the foundation of most current finite element programmes. An alternative is the so-called Kelvin mapping which has recently gained recognition in studies of theoretical mechanics. This article is concerned with benefits of the Kelvin mapping in numerical modelling tools such as finite element software. The decisive difference to the Voigt mapping is that Kelvin's method preserves tensor character, and thus the numerical matrix notation directly corresponds to the original tensor notation. Further benefits in numerical implementations are that tensor norms are calculated identically without distinguishing stress- or strain-type quantities, and tensor equations can be directly transformed into matrix equations without additional considerations. The only implementational changes are related to a scalar factor in certain finite element matrices, and hence, harvesting the mentioned benefits comes at very little cost.},
doi = {10.1007/s12665-016-5429-4},
url = {http://dx.doi.org/10.1007/s12665-016-5429-4},
}
@Article{Parisio2018b,
author="Parisio, F.
and Vilarrasa, V.
and Laloui, L.",
title="Hydro-mechanical Modeling of Tunnel Excavation in Anisotropic Shale with Coupled Damage-Plasticity and Micro-dilatant Regularization",
journal="Rock Mechanics and Rock Engineering",
year="2018",
month="Aug",
day="23",
abstract="The disposal of highly radioactive spent nuclear fuel in deep geological media will require excavating a large number of galleries in low-permeable rocks, altering initial rock integrity at the repository site. The FE tunnel excavated in Opalinus Clay at the Mont Terri Underground Research Laboratory (Switzerland) is a unique full-scale experiment to study this process. We conducted a numerical study of the excavation of the FE tunnel in a coupled hydro-mechanical finite element framework, employing an anisotropic plasticity coupled with damage constitutive model. A second gradient of dilatancy formulation is employed to avoid spurious mesh-dependent behavior originating from the softening of the coupled damage-plasticity model. The approach is validated by comparing numerical predictions and in situ observations during and after tunnel excavation in terms of displacements, pore water pressure evolution and degradation of elasticity. Mechanical parameters are calibrated using laboratory experiments and values available in the literature. The model well reproduces the coupled hydro-mechanical processes induced by excavation, giving a good agreement between numerical predictions and experimental in situ monitoring data. Furthermore, the evolution of the excavation damaged zone is correctly predicted. Thus, this modeling approach is suitable for the purpose of simulating tunnel excavation in low-permeable anisotropic quasi-brittle shales.",
issn="1434-453X",
doi="10.1007/s00603-018-1569-z",
url="https://doi.org/10.1007/s00603-018-1569-z"
}
@article{Yoshioka2020,
author = {Yoshioka, Keita and Naumov, Dmitri and Kolditz, Olaf},
issn = {00225096},
journal = {Computer Methods in Applied Mechanics and Engineering},
publisher = {Elsevier},
title = {{On Crack Opening Computation in Variational Phase-Field Models for Fracture}},
year = {under review}
}
@article{Freddi2010,
author = {Freddi, Francesco and Royer-Carfagni, Gianni},
doi = {10.1016/j.jmps.2010.02.010},
issn = {00225096},
journal = {Journal of the Mechanics and Physics of Solids},
keywords = {Damage mechanics,Fracture mechanics,Free-discontinuity problem,Structured deformations,Variational calculus},
number = {8},
pages = {1154--1174},
publisher = {Elsevier},
title = {{Regularized variational theories of fracture: A unified approach}},
url = {http://dx.doi.org/10.1016/j.jmps.2010.02.010},
volume = {58},
year = {2010}
}
@article{Chukwudozie2019,
doi = {10.1016/j.cma.2018.12.037},
Author = {Chukwudozie, C. and Bourdin, B. and Yoshioka, K.},
issn = {00457825},
journal = {Computer Methods in Applied Mechanics and Engineering},
keywords = {Hydraulic fracturing,Phase-field models of fracture,Variational approach},
pages = {957--982},
publisher = {Elsevier B.V.},
title = {{A variational phase-field model for hydraulic fracturing in porous media}},
url = {https://doi.org/10.1016/j.cma.2018.12.037},
volume = {347},
year = {2019}
}
@article{Wheeler2014,
author = {Wheeler, M.F. and Wick, T. and Wollner, W},
doi = {10.1016/j.cma.2013.12.005},
isbn = {0045-7825},
issn = {00457825},
journal = {Computer Methods in Applied Mechanics and Engineering},
keywords = {Augmented Lagrangian,Finite elements,Iterative solution,Phase-field,Variational fracture},
pages = {69--85},
publisher = {Elsevier B.V.},
title = {{An augmented-Lagrangian method for the phase-field approach for pressurized fractures}},
url = {http://dx.doi.org/10.1016/j.cma.2013.12.005},
volume = {271},
year = {2014}
}
@article{Santillan2017,
author = {Santill{\'{a}}n, D. and Juanes, R. and Cueto-Felgueroso, L.},
doi = {10.1002/2016JB013572},
issn = {21699356},
journal = {Journal of Geophysical Research: Solid Earth},
keywords = {fluid-driven fracturing,phase field model},
title = {{Phase field model of fluid-driven fracture in elastic media: Immersed-fracture formulation and validation with analytical solutions}},
year = {2017}
}
@article{Wilson2016,
author = {Wilson, Z.A. and Landis, C.M.},
doi = {10.1016/j.jmps.2016.07.019},
isbn = {0022-5096},
issn = {00225096},
journal = {Journal of the Mechanics and Physics of Solids},
keywords = {Continuum thermodynamics,Finite element methods,Hydraulic fracture,Nonlinear poroelasticity},
pages = {264--290},
publisher = {Elsevier},
title = {{Phase-field modeling of hydraulic fracture}},
url = {http://dx.doi.org/10.1016/j.jmps.2016.07.019},
volume = {96},
year = {2016}
}
@Article{Gasser2005,
author = {Gasser, Thomas C and Holzapfel, Gerhard A},
title = {Modeling 3D crack propagation in unreinforced concrete using PUFEM},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2005},
volume = {194},
number = {25-26},
pages = {2859--2896},
publisher = {Elsevier},
}
@InProceedings{Meschke2007,
author = {Meschke, G{\"u}nther and Dumstorff, Peter and Fleming, Wagner},
title = {Variational extended finite element model for cohesive cracks: influence of integration and interface law},
booktitle = {IUTAM Symposium on Discretization Methods for Evolving Discontinuities},
year = {2007},
pages = {283--301},
organization = {Springer},
}
@Article{Meschke2015,
author = {Meschke, G{\"u}nther and Leonhart, Dirk},
title = {A Generalized Finite Element Method for hydro-mechanically coupled analysis of hydraulic fracturing problems using space-time variant enrichment functions},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2015},
volume = {290},
pages = {438--465},
publisher = {Elsevier},
}
@article{needleman1990analysisa,
title={An analysis of decohesion along an imperfect interface},
author={Needleman, A},
journal={International Journal of Fracture},
volume={42},
number={1},
pages={21--40},
year={1990},
publisher={Springer}
}
@article{nguyen2001cohesive,
title={A cohesive model of fatigue crack growth},
author={Nguyen, O and Repetto, EA and Ortiz, Michael and Radovitzky, RA},
journal={International Journal of Fracture},
volume={110},
number={4},
pages={351--369},
year={2001},
publisher={Springer}
}
@misc{petsc-web-page,
Author = {Balay, S. and Abhyankar, S. and Adams, M.~F. and Brown, J. and Brune, P. and Buschelman, K. and Dalcin, L and Dener, A. and Eijkhout, V. and Gropp, W.~D. and Karpeyev, D. and Kaushik, D. and Knepley, M.~G. and May, D.~A. and McInnes, L.~C. and Mills,R.~T. and Munson, T. and Rupp, K. and Sanan, P. and Smith, B.~F. and Zampini, S. and Zhang, H. and Zhang, H.},
Title = {{PETS}c {W}eb page},
Url = {http://www.mcs.anl.gov/petsc},
Year = {2019},
Bdsk-Url-1 = {http://www.mcs.anl.gov/petsc}}
@techreport{petsc-user-ref,
Author = {Balay, S. and Abhyankar, S. and Adams, M.~F. and Brown, J. and Brune, P. and Buschelman, K. and Dalcin, L and Dener, A. and Eijkhout, V. and Gropp, W.~D. and Karpeyev, D. and Kaushik, D. and Knepley, M.~G. and May, D.~A. and McInnes, L.~C. and Mills,R.~T. and Munson, T. and Rupp, K. and Sanan, P. and Smith, B.~F. and Zampini, S. and Zhang, H. and Zhang, H.},
Institution = {Argonne National Laboratory},
Number = {ANL-95/11 - Revision 3.11},
Title = {{PETS}c Users Manual},
Year = 2019}
@article{Klinsmann2015,
title = "An assessment of the phase field formulation for crack growth",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "294",
number = "Supplement C",
pages = "313 - 330",
year = "2015",
issn = "0045-7825",
doi = "https://doi.org/10.1016/j.cma.2015.06.009",
url = "http://www.sciencedirect.com/science/article/pii/S0045782515002017",
author = "Markus Klinsmann and Daniele Rosato and Marc Kamlah and Robert M. McMeeking",
keywords = "Phase field, Fracture, Energy release rate, Initial crack modeling"
}
@article{Bourdin2011,
author = {Bourdin, B. and Larsen, C.J. and Richardson, C.L.},
doi = {10.1007/s10704-010-9562-x},
issn = {03769429},
journal = {International Journal of Fracture},
keywords = {Crack regularization,Dynamic fracture,Griffith's criterion,Phase field,Variational fracture},
number = {2},
pages = {133--143},
title = {{A time-discrete model for dynamic fracture based on crack regularization}},
volume = {168},
year = {2011}
}
%editor="O{\~{n}}ate, Eugenio and Peric, Djordje and de Souza Neto, Eduardo and Chiumenti, Michele",
@article{Casagrande2017,
author = {Casagrande, Davide and Buzzi, O and Giacomini, Anna and Lambert, Cedric and Fenton, G},
year = {2017},
journal="Rock Mechanics and Rock Engineering",
month = {08},
pages = {69-99},
title = {A New Stochastic Approach to Predict Peak and Residual Shear Strength of Natural Rock Discontinuities},
booktitle = {Rock Mechanics and Rock Engineering}
}
@article{BartonBandis1985,
title = "Strength, deformation and conductivity coupling of rock joints",
journal = "International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts",
volume = "22",
number = "3",
pages = "121 - 140",
year = "1985",
issn = "0148-9062",
doi = "https://doi.org/10.1016/0148-9062(85)93227-9",
url = "http://www.sciencedirect.com/science/article/pii/0148906285932279",
author = "N. Barton and S. Bandis and K. Bakhtar"
}
@Article{Xia2014,
author="Xia, Cai-Chu
and Tang, Zhi-Cheng
and Xiao, Wei-Min
and Song, Ying-Long",
title="New Peak Shear Strength Criterion of Rock Joints Based on Quantified Surface Description",
journal="Rock Mechanics and Rock Engineering",
year="2014",
month="Mar",
day="01",
volume="47",
number="2",
pages="387--400",
issn="1434-453X",
doi="10.1007/s00603-013-0395-6",
url="https://doi.org/10.1007/s00603-013-0395-6"
}
@phdthesis{Kolditz:1990,
author = {Kolditz, Olaf},
school = {Akademie der Wissenschaften der DDR, Berlin},
title = {{Zur Modellierung und Simulation geothermischer
Transportprozesse in untert\"agigen
Zirkulationssystemen}},
year = {1990},
}
@phdthesis{Wollrath:1990,
author = {Wollrath, J.},
school = {Institut für Str\"omungsmechanik und Elektronisches
Rechnen im Bauwesen, Universität Hannover},
title = {{Ein Str\"omungs- und Transportmodell für kl\"uftiges
Gestein und Untersuchungen zu homogenen
Ersatzsystemen}},
year = {1990},
}
@phdthesis{Kroehn:1991,
author = {Kroehn, K. P.},
school = {Institut für Str\"omungsmechanik und Elektronisches
Rechnen im Bauwesen, Universität Hannover},
title = {{Simulation von Transportvorgängen im kl\"uftigen
Gestein mit der Methode der Finiten Elemente}},
year = {1991},
}
@phdthesis{Helmig:1993,
author = {Helmig, Reiner},
school = {Institut für Str\"omungsmechanik und Elektronisches
Rechnen im Bauwesen, Universität Hannover},
title = {{Theorie und Numerik der Mehrphasenstr\"omungen in
gekl\"uftet-por\"osen Medien}},
year = {1993},
}
@ARTICLE{Jing20181989,
author={Jing, M. and Heße, F. and Kumar, R. and Wang, W. and Fischer, T. and Walther, M. and Zink, M. and Zech, A. and Samaniego, L. and Kolditz, O. and Attinger, S.},
title={Improved regional-scale groundwater representation by the coupling of the mesoscale Hydrologic Model (mHM v5.7) to the groundwater model OpenGeoSys (OGS)},
journal={Geoscientific Model Development},
year={2018},
volume={11},
number={5},
pages={1989-2007},
doi={10.5194/gmd-11-1989-2018},
url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85047943206&doi=10.5194%2fgmd-11-1989-2018&partnerID=40&md5=6234b6986b40f40f2238ba796e0dab99},
}
@ARTICLE{Nixdorf2017598,
author={Nixdorf, E. and Sun, Y. and Lin, M. and Kolditz, O.},
title={Development and application of a novel method for regional assessment of groundwater contamination risk in the Songhua River Basin},
journal={Science of the Total Environment},
year={2017},
volume={605-606},
pages={598-609},
doi={10.1016/j.scitotenv.2017.06.126},
url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85021688798&doi=10.1016%2fj.scitotenv.2017.06.126&partnerID=40&md5=3f57b2b4517238c9da5ef6d051f5b437},
}
@ARTICLE{Walther2017648,
author={Walther, M. and Graf, T. and Kolditz, O. and Liedl, R. and Post, V.},
title={How significant is the slope of the sea-side boundary for modelling seawater intrusion in coastal aquifers?},
journal={Journal of Hydrology},
year={2017},
volume={551},
pages={648-659},
doi={10.1016/j.jhydrol.2017.02.031},
url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017554150&doi=10.1016%2fj.jhydrol.2017.02.031&partnerID=40&md5=97128e8dbdde61784c52910eb6a9a54e},
}
@article{Meng2018971,
author={Meng, B. and Vienken, T. and Kolditz, O. and Shao, H.},
title={Modeling the groundwater temperature response to extensive operation of ground source heat pump systems: A case study in Germany},
journal={Energy Procedia},
year={2018},
volume={152},
pages={971-977},
doi={10.1016/j.egypro.2018.09.102},
url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85058222942&doi=10.1016%2fj.egypro.2018.09.102&partnerID=40&md5=91e5c0bd953ffaf77e792a496498129b},
}
@article{HEIN201680,
author = {Philipp Hein and Ke Zhu and Anke Bucher and
Olaf Kolditz and Zhonghe Pang and Haibing Shao},
journal = {Energy Conversion and Management},
pages = {80 - 89},
title = {Quantification of exploitable shallow geothermal
energy by using Borehole Heat Exchanger coupled
Ground Source Heat Pump systems},
volume = {127},
year = {2016},
doi = {10.1016/j.enconman.2016.08.097},
issn = {0196-8904},
url = {http://www.sciencedirect.com/science/article/pii/
S0196890416307786},
}
@ARTICLE{Miao2019977,
author={Miao, X.-Y. and Kolditz, O. and Nagel, T.},
title={Modelling thermal performance degradation of high and low-temperature solid thermal energy storage due to cracking processes using a phase-field approach},
journal={Energy Conversion and Management},
year={2019},
pages={977-989},
doi={10.1016/j.enconman.2018.11.042},
url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057002701&doi=10.1016%2fj.enconman.2018.11.042&partnerID=40&md5=e1327f659bca89a7e7404caad0a9bad6},
}
@article{Bottcher2017,
author = {B{\"{o}}ttcher, Norbert and G{\"{o}}rke, Uwe-Jens and
Kolditz, Olaf and Nagel, Thomas},
journal = {Environmental Earth Sciences},
month = {feb},
number = {3},
pages = {98},
title = {{Thermo-mechanical investigation of salt caverns for
short-term hydrogen storage}},
volume = {76},
year = {2017},
doi = {10.1007/s12665-017-6414-2},
issn = {1866-6280},
url = {http://link.springer.com/10.1007/s12665-017-6414-2},
}
@ARTICLE{Parisio2019,
author={Parisio, F. and Vinciguerra, S. and Kolditz, O. and Nagel, T.},
title={The brittle-ductile transition in active volcanoes},
journal={Scientific Reports},
year={2019},
volume={9},
number={1},
doi={10.1038/s41598-018-36505-x},
art_number={143},
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@ARTICLE{Shao201933,
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