echoes.bib

@book{abramowitz1972,
  title = {Handbook of {{Mathematical Functions}}},
  author = {Abramowitz, Milton and Stegun, Irene A},
  date = {1972},
  publisher = {National Bureau of Standards - Applied Mathematics Series - 55},
  location = {Washington D.C.},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\YXIX9M7M\Abramowitz_Stegun_1972_Handbook of Mathematical Functions.pdf}
}
% == BibLateX quality report for abramowitz1972:
% ? Title looks like it was stored in title-case in Zotero

@article{barthelemyIJES2020_hilltrans,
  title = {Simplified Approach to the Derivation of the Relationship between {{Hill}} Polarization Tensors of Transformed Problems and Applications},
  author = {Barthélémy, J.-F.},
  date = {2020-09},
  journaltitle = {International Journal of Engineering Science},
  volume = {154},
  pages = {103326},
  issn = {00207225},
  doi = {10.1016/j.ijengsci.2020.103326},
  url = {https://linkinghub.elsevier.com/retrieve/pii/S0020722520301142},
  keywords = {⛔ No INSPIRE recid found,ACL},
  annotation = {5 citations (Semantic Scholar/DOI) [2022-10-26]\\
4 citations (Crossref) [2022-10-26]},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\6ZW6XR6E\Barthélémy_2020_Simplified approach to the derivation of the relationship between Hill.pdf}
}

@article{barthelemyIJES2021,
  title = {Micromechanical Modeling of a Cracked Elliptically Orthotropic Medium},
  author = {Barthélémy, J.-F. and Sevostianov, I and Giraud, Albert},
  date = {2021-04},
  journaltitle = {International Journal of Engineering Science},
  volume = {161},
  pages = {103454},
  issn = {00207225},
  doi = {10.1016/j.ijengsci.2021.103454},
  url = {https://linkinghub.elsevier.com/retrieve/pii/S002072252100001X},
  keywords = {⛔ No INSPIRE recid found,ACL},
  annotation = {1 citations (Semantic Scholar/DOI) [2022-10-26]\\
1 citations (Crossref) [2022-10-26]},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\UXV7EV6D\Barthélémy et al_2021_Micromechanical modeling of a cracked elliptically orthotropic medium.pdf}
}

@article{barthelemyIJSS2009,
  title = {Compliance and {{Hill}} Polarization Tensor of a Crack in an Anisotropic Matrix},
  author = {Barthélémy, Jean-François},
  date = {2009-11-01},
  journaltitle = {International Journal of Solids and Structures},
  shortjournal = {International Journal of Solids and Structures},
  volume = {46},
  number = {22},
  pages = {4064--4072},
  issn = {0020-7683},
  doi = {10.1016/j.ijsolstr.2009.08.003},
  url = {https://www.sciencedirect.com/science/article/pii/S0020768309002893},
  urldate = {2022-10-11},
  abstract = {This work aims at developing an efficient method to compute the compliance due to a crack modeled as a flat ellipsoid of any shape in an infinite elastic matrix of arbitrary anisotropy (Eshelby problem) when no closed-form solution seems currently available. Whereas the solution of this problem usually requires the calculation of the so-called fourth-order Hill polarization tensor if the ellipsoid is not singular, it is shown that the crack compliance can be derived from the first-order term in the Taylor expansion of the Hill tensor with respect to the smallest aspect ratio of the ellipsoidal inclusion. For a 3D ellipsoidal crack model, this first-order term is expressed as a simple integral thanks to the Cauchy residue theorem. A similar method allows to express the same term in the case of a cylindrical crack model without any integral. A numerical example is finally treated.},
  langid = {english},
  keywords = {⛔ No INSPIRE recid found,ACL,Anisotropy,Aspect ratio,Eshelby problem,Flat ellipsoidal inclusion,Hill polarization tensor},
  annotation = {16 citations (Crossref) [2022-11-29]\\
18 citations (Semantic Scholar/DOI) [2022-10-26]},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\UVTUU35V\Barthélémy_2009_Compliance and Hill polarization tensor of a crack in an anisotropic matrix.pdf}
}
% == BibLateX quality report for barthelemyIJSS2009:
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@article{barthelemyIJSS2016,
  title = {The {{Eshelby}} Inclusion Problem in Ageing Linear Viscoelasticity},
  author = {Barthélémy, Jean-François and Giraud, A and Lavergne, F and Sanahuja, J},
  date = {2016-10},
  journaltitle = {Int. J. Solids Struct.},
  volume = {97--98},
  pages = {530--542},
  issn = {00207683},
  doi = {10.1016/j.ijsolstr.2016.06.035},
  url = {http://linkinghub.elsevier.com/retrieve/pii/S0020768316301500},
  keywords = {⛔ No INSPIRE recid found,ACL},
  annotation = {24 citations (Crossref) [2022-11-29]\\
28 citations (Semantic Scholar/DOI) [2022-10-26]},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\CFYEXTZS\Barthélémy et al_2016_The Eshelby inclusion problem in ageing linear viscoelasticity.pdf}
}
% == BibLateX quality report for barthelemyIJSS2016:
% ? Possibly abbreviated journal title Int. J. Solids Struct.

@article{barthelemyMMS2023,
  ids = {barthelemy},
  title = {Compliance of a Crack Embedded in a Transformed Transversely Isotropic Material},
  author = {Barthélémy, Jean-François and Sevostianov, Igor and Giraud, Albert and Vilchevskaya, Elena},
  date = {2023-03-01},
  journaltitle = {Mathematics and Mechanics of Solids},
  shortjournal = {Mathematics and Mechanics of Solids},
  pages = {1--30},
  doi = {10.1177/10812865221150771},
  langid = {english},
  keywords = {⛔ No DOI found,⛔ No INSPIRE recid found,ACL},
  file = {C\:\\Users\\jf.barthelemy\\Documents\\CTOA\\Articles\\2022_CrackInTraTI\\Published\\10812865221150771.rflw.epub;C\:\\Users\\jf.barthelemy\\Documents\\CTOA\\Articles\\2022_CrackInTraTI\\Published\\Barthélémy et al. - 2023 - Compliance of a crack embedded in a transformed tr.pdf}
}

@article{barthelemyTIPM2009,
  title = {Effective {{Permeability}} of {{Media}} with a {{Dense Network}} of {{Long}} and {{Micro Fractures}}},
  author = {Barthélémy, J.-F.},
  date = {2009-01},
  journaltitle = {Transport in Porous Media},
  volume = {76},
  number = {1},
  pages = {153--178},
  issn = {0169-3913},
  doi = {10.1007/s11242-008-9241-9},
  url = {http://link.springer.com/10.1007/s11242-008-9241-9},
  keywords = {⛔ No INSPIRE recid found,ACL},
  annotation = {71 citations (Semantic Scholar/DOI) [2022-10-26]\\
61 citations (Crossref) [2022-10-26]},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\XTDTTECV\Barthélémy_2009_Effective Permeability of Media with a Dense Network of Long and Micro Fractures.pdf}
}
% == BibLateX quality report for barthelemyTIPM2009:
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@book{bornert2001a,
  title = {Homogénéisation En Mécanique Des Matériaux},
  author = {Bornert, M and Bretheau, T and Gilormini, P},
  date = {2001},
  publisher = {Hermes science},
  pagetotal = {250}
}

@online{brisard2014a,
  title = {Tensor Algebra Section in {{Sébastien Brisard}}’s Blog},
  author = {Brisard, Sébastien},
  date = {2014},
  url = {https://sbrisard.github.io/category/tensor-algebra.html},
  langid = {english}
}

@book{dormieux2006,
  title = {Microporomechanics},
  author = {Dormieux, Luc and Kondo, Djimédo and Ulm, F.-J.},
  date = {2006},
  publisher = {John Wiley \& Sons},
  location = {Chichester, West Sussex, England ; Hoboken, NJ},
  doi = {10.1002/0470032006},
  url = {https://doi.org/10.1002/0470032006},
  isbn = {978-0-470-03188-9},
  langid = {english},
  pagetotal = {328},
  keywords = {Mechanical properties,Mechanical properties Mathematical models,Micromechanics,Porous materials},
  annotation = {OCLC: ocm71829949},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\VJXI9NLR\Dormieux et al_2006_Microporomechanics.pdf}
}
% == BibLateX quality report for dormieux2006:
% ? unused Call number ("TA418.9.P6 D67 2006")
% ? unused Library catalog ("Library of Congress ISBN")

@book{dormieux2016,
  title = {Micromechanics of {{Fracture}} and {{Damage}}},
  author = {Dormieux, Luc and Kondo, Djimédo},
  date = {2016},
  publisher = {Wiley},
  doi = {10.1002/9781119292166},
  url = {http://repositorio.unan.edu.ni/2986/1/5624.pdf},
  isbn = {978-1-84821-863-5},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\UKG23ECH\Dormieux_Kondo_2016_Micromechanics of Fracture and Damage.pdf}
}
% == BibLateX quality report for dormieux2016:
% ? Title looks like it was stored in title-case in Zotero

@software{echoes,
  title = {Echoes: {{Extended Calculator}} of {{HOmogEnization Schemes}}},
  shorttitle = {Echoes},
  author = {Barthélémy, Jean-François},
  date = {2022-11-22},
  doi = {10.5281/ZENODO.14959866},
  url = {https://jfbarthelemy.github.io/echoes/},
  urldate = {2022-11-29},
  abstract = {The library {$<$}strong{$>$}Echoes {$<$}/strong{$>$}allows to implement various homogenization schemes involving different types of heterogeneities in the framework of elasticity, conductivity, viscoelasticity as well as tools to properly calculate the derivatives of macroscopic stiffness with respect to lower scale moduli (fundamental tool of the modified secant method in nonlinear homogenization). This manual aims at recalling some fundamental aspects of the theory of homogenization of random media along with a presentation of the main features of the library {$<$}strong{$>$}Echoes{$<$}/strong{$>$} as well as code examples. {$<$}br{$>$}},
  langid = {english},
  organization = {Zenodo},
  version = {v1.0.0},
  keywords = {⛔ No INSPIRE recid found,Conductivity,Cracks,Elasticity,Ellipsoids,Eshelby problem,LOG,Micromechanics,Morphologically Representative Patterns,Viscoelasticity}
}
% == BibLateX quality report for echoes:
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% ? unused Library catalog ("DOI.org (Datacite)")
% ? unused Programming language ("C++/Python")

@article{eshelby1957,
  title = {The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems},
  author = {Eshelby, J D},
  date = {1957},
  journaltitle = {Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  volume = {241},
  number = {1226},
  pages = {376--396},
  issn = {0080-4630},
  doi = {10.1098/rspa.1957.0133},
  url = {https://royalsocietypublishing.org/doi/10.1098/rspa.1957.0133},
  abstract = {It is supposed that a region within an isotropic elastic solid undergoes a spontaneous change of form which, if the surrounding material were absent, would be some prescribed homogeneous deformation. Because of the presence of the surrounding material stresses will be present both inside and outside the region. The resulting elastic field may be found very simply with the help of a sequence of imaginary cutting, straining and welding operations. In particular, if the region is an ellipsoid the strain inside it is uniform and may be expressed in terms of tabu­lated elliptic integrals. In this case a further problem may be solved. An ellipsoidal region in an infinite medium has elastic constants different from those of the rest of the material; how does the presence of this inhomogeneity disturb an applied stress-field uniform at large distances? It is shown that to answer several questions of physical or engineering interest it is necessary to know only the relatively simple elastic field inside the ellipsoid.},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\3AJSDXCM\Eshelby_1957_The determination of the elastic field of an ellipsoidal inclusion, and related.pdf}
}
% == BibLateX quality report for eshelby1957:
% ? Possibly abbreviated journal title Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

@article{espelid1994,
  title = {{{DECUHR}}: An Algorithm for Automatic Integration of Singular Functions over a Hyperrectangular Region},
  author = {Espelid, Terje O and Genz, Alan},
  date = {1994-09},
  journaltitle = {Numerical Algorithms},
  volume = {8},
  number = {2},
  pages = {201--220},
  issn = {1017-1398},
  doi = {10.1007/BF02142691},
  url = {http://link.springer.com/10.1007/BF02142691},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\TE89R7AZ\Espelid_Genz_1994_DECUHR.pdf}
}

@article{gavazzi1990,
  title = {On the Numerical Evaluation of {{Eshelby}}'s Tensor and Its Application to Elastoplastic Fibrous Composites},
  author = {Gavazzi, A C and Lagoudas, D C},
  date = {1990},
  journaltitle = {Computational Mechanics},
  volume = {7},
  number = {1},
  pages = {13--19},
  issn = {0178-7675},
  doi = {10.1007/BF00370053},
  url = {http://link.springer.com/10.1007/BF00370053},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\B5CFTWJN\Gavazzi_Lagoudas_1990_On the numerical evaluation of Eshelby's tensor and its application to.pdf}
}

@article{ghahremani1977,
  ids = {ghahremani1977a},
  title = {Numerical Evaluation of the Stresses and Strains in Ellipsoidal Inclusions in an Anisotropic Elastic Material},
  author = {Ghahremani, F},
  date = {1977-01},
  journaltitle = {Mechanics Research Communications},
  volume = {4},
  number = {2},
  pages = {89--91},
  issn = {00936413},
  doi = {10.1016/0093-6413(77)90018-0},
  url = {https://linkinghub.elsevier.com/retrieve/pii/0093641377900180},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\MAQMMDJB\Ghahremani_1977_Numerical evaluation of the stresses and strains in ellipsoidal inclusions in.pdf}
}

@article{giraudMOM2019,
  title = {Effective Electrical Conductivity of Transversely Isotropic Rocks with Arbitrarily Oriented Ellipsoidal Inclusions},
  author = {Giraud, A and Sevostianov, I and Kushch, V I and Cosenza, P and Prêt, D and Barthélémy, J.-F. and Trofimov, A},
  date = {2019},
  journaltitle = {Mechanics of Materials},
  volume = {133},
  pages = {174--192},
  publisher = {Elsevier},
  issn = {01676636},
  doi = {10.1016/j.mechmat.2019.03.011},
  url = {https://doi.org/10.1016/j.mechmat.2019.03.011 https://linkinghub.elsevier.com/retrieve/pii/S0167663618308160},
  issue = {November 2018},
  keywords = {⛔ No INSPIRE recid found,ACL,arbitrarily oriented inclusion,Arbitrarily oriented inclusion,effective electrical conductivity,Effective electrical conductivity,ellipsoidal inclusion,Ellipsoidal inclusion,Transversely isotropic rock},
  annotation = {16 citations (Semantic Scholar/DOI) [2022-10-26]\\
17 citations (Crossref) [2022-10-26]},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\9QYZIMUS\Giraud et al_2019_Effective electrical conductivity of transversely isotropic rocks with.pdf}
}
% == BibLateX quality report for giraudMOM2019:
% Unexpected field 'publisher'

@article{hill1967a,
  title = {The Essential Structure of Constitutive Laws for Metal Composites and Polycrystals},
  author = {Hill, R.},
  date = {1967-03-01},
  journaltitle = {Journal of the Mechanics and Physics of Solids},
  shortjournal = {Journal of the Mechanics and Physics of Solids},
  volume = {15},
  number = {2},
  pages = {79--95},
  issn = {0022-5096},
  doi = {10.1016/0022-5096(67)90018-X},
  url = {https://www.sciencedirect.com/science/article/pii/002250966790018X},
  urldate = {2022-11-15},
  abstract = {This is a rigorous general study of the macro-mechanics of heterogeneous elastoplastic systems. The problem is to uncover those structural features of overall constitutive laws which are unaffected by the heterogeneity, of whatever kind. The outcome is a theoretical framework describing the principal phenomena at pointed vertices on overall yield surfaces. This makes possible a reassessment of the classical rules for yield and flow, and also of recent observational data.},
  langid = {english},
  keywords = {⛔ No INSPIRE recid found},
  file = {C\:\\Users\\jf.barthelemy\\Documents\\CTOA\\Biblio\\Zotero\\storage\\WEKFT229\\Hill_1967_The essential structure of constitutive laws for metal composites and.pdf;C\:\\Users\\jf.barthelemy\\Documents\\CTOA\\Biblio\\Zotero\\storage\\MY9JC4P5\\002250966790018X.html}
}
% == BibLateX quality report for hill1967a:
% ? unused Library catalog ("ScienceDirect")

@article{kachanov1992,
  title = {Effective {{Elastic Properties}} of {{Cracked Solids}}: {{Critical Review}} of {{Some Basic Concepts}}},
  author = {Kachanov, Mark},
  date = {1992},
  journaltitle = {Applied Mechanics Reviews},
  volume = {45},
  number = {8},
  pages = {304--335},
  issn = {0003-6900},
  doi = {10.1115/1.3119761},
  url = {https://asmedigitalcollection.asme.org/appliedmechanicsreviews/article/45/8/304/421514/Effective-Elastic-Properties-of-Cracked-Solids},
  abstract = {The problem of effective moduli of cracked solids is critically reviewed. Various approaches to the problem are discussed; they are further assessed by comparing their predictions to results for sample deterministic arrays. These computer experiments indicate that the approximation of non-interacting cracks has a wider than expected range of applicability. Some of the deficiencies of various approximate schemes seem to be related to inadequacy of the conventionally used crack density parameter (insensitive to mutual positions of cracks). An alternative parameter that has this sensitivity, is suggested. Finally, the problem of effective moduli is discussed in the context of “damage mechanics”. It is argued that, contrary to the spirit of many damage models, there is no direct quantitative correlation between progression of a microcracking solid towards fracture and deterioration of its stiffness; thus, the effective moduli may not always serve as a reliable indicator of damage.},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\2FE9Q4YU\Kachanov_1992_Effective Elastic Properties of Cracked Solids.pdf}
}
% == BibLateX quality report for kachanov1992:
% ? Title looks like it was stored in title-case in Zotero

@article{kachanov1993,
  title = {Elastic {{Solids}} with {{Many Cracks}} and {{Related Problems}}},
  author = {Kachanov, Mark},
  date = {1993},
  journaltitle = {Advances in Applied Mechanics},
  volume = {30},
  pages = {259--445},
  issn = {00652156},
  doi = {10.1016/S0065-2156(08)70176-5},
  url = {https://linkinghub.elsevier.com/retrieve/pii/S0065215608701765},
  abstract = {This chapter discusses some basic problems in mechanics of elastic solids containing multiple cracks. A number of mathematical aspects that frequently constitute fields of their own (like various numerical techniques) are discussed very briefly in the chapter. The focus is on physically important effects produced by crack interactions and to present results in the simplest form possible. The problems considered in this chapter can be divided into two groups: (1) The impact of interactions on individual cracks, particularly on the stress intensity factors (SIFs), and (2) the effective elastic properties of solids with many cracks. Problems of the first group are, generally, relevant for the fracture-related considerations; solutions are sensitive to the positions of individual cracks. Problems of the second group deal with the volume average quantities; they are relatively insensitive to the information on individual cracks. The chapter discusses, in this connection, whether correlations exist between these two groups of quantities; in particular, whether microcracking can be reliably monitored by measuring changes in the effective elastic moduli. ©1994, Academic Press Inc.},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\FJ3YQYJB\Kachanov_1993_Elastic Solids with Many Cracks and Related Problems.pdf}
}
% == BibLateX quality report for kachanov1993:
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@book{kachanov2018,
  title = {Micromechanics of {{Materials}}, with {{Applications}}},
  author = {Kachanov, Mark and Sevostianov, Igor},
  date = {2018},
  series = {Solid {{Mechanics}} and {{Its Applications}}},
  volume = {249},
  publisher = {Springer International Publishing},
  location = {Cham},
  doi = {10.1007/978-3-319-76204-3},
  url = {http://link.springer.com/10.1007/978-3-319-76204-3},
  urldate = {2022-10-07},
  isbn = {978-3-319-76203-6 978-3-319-76204-3},
  langid = {english},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\G58DH7R5\Kachanov_Sevostianov_2018_Micromechanics of Materials, with Applications.pdf}
}
% == BibLateX quality report for kachanov2018:
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% ? Title looks like it was stored in title-case in Zotero
% ? unused Library catalog ("DOI.org (Crossref)")

@book{kellogg1929,
  title = {Potential Theory},
  author = {Kellogg, O D},
  date = {1929},
  publisher = {Berlin : Springer-Verlag}
}

@article{laws1977,
  title = {A Note on Interaction Energies Associated with Cracks in Anisotropic Solids},
  author = {Laws, N},
  date = {1977},
  journaltitle = {Philos. Magazine},
  volume = {36},
  number = {2},
  pages = {367--372},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\HAVCXYDS\Laws_1977_A note on interaction energies associated with cracks in anisotropic solids.pdf}
}
% == BibLateX quality report for laws1977:
% ? Possibly abbreviated journal title Philos. Magazine

@article{laws1985,
  title = {A Short Note on Penny-Shaped Cracks in Transversely Isotropic Materials},
  author = {Laws, N},
  date = {1985},
  journaltitle = {Mech. Mater.},
  volume = {4},
  pages = {209--212},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\2G7TZJMA\Laws_1985_A short note on penny-shaped cracks in transversely isotropic materials.pdf}
}
% == BibLateX quality report for laws1985:
% ? Possibly abbreviated journal title Mech. Mater.

@article{masson2008,
  title = {New Explicit Expressions of the {{Hill}} Polarization Tensor for General Anisotropic Elastic Solids},
  author = {Masson, Renaud},
  date = {2008-02-01},
  journaltitle = {International Journal of Solids and Structures},
  shortjournal = {International Journal of Solids and Structures},
  volume = {45},
  number = {3},
  pages = {757--769},
  issn = {0020-7683},
  doi = {10.1016/j.ijsolstr.2007.08.035},
  url = {https://www.sciencedirect.com/science/article/pii/S0020768307003599},
  urldate = {2022-10-11},
  abstract = {Except for particular cases, the classical expressions of the Eshelby or Hill polarization tensors, depend, respectively, on a simple or double integral for a fully anisotropic two-dimensional or three-dimensional elastic body. When the body is two-dimensional, we take advantage of Cauchy’s theory of residues to derive a new explicit expression which depends on the two pairs of complex conjugate roots of a quartic equation. If the body exhibits orthotropic symmetry, these roots are explicitly given as a function of the independent components of the elasticity tensor. Similarly, the double integral is reduced to a simple one when the body is three-dimensional. The corresponding integrand depends on the three pairs of complex conjugate roots of a sextic equation which reduces to a cubic one for orthotropic symmetry. This new expression improves significantly the computation times when the degree of anisotropy is high. For both two and three-dimensional bodies, degenerate cases are also studied to yield valid expressions in any events.},
  langid = {english},
  keywords = {Anisotropic elasticity,Eshelby problem,Hill’s polarization tensor,Inclusion},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\GMPZB899\Masson_2008_New explicit expressions of the Hill polarization tensor for general.pdf}
}
% == BibLateX quality report for masson2008:
% ? unused Library catalog ("ScienceDirect")

@book{milton2002,
  ids = {milton,milton2001},
  title = {The {{Theory}} of {{Composites}}},
  author = {Milton, Graeme W.},
  date = {2002},
  series = {Cambridge {{Monographs}} on {{Applied}} and {{Computational Mathematics}}},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  doi = {10.1017/CBO9780511613357},
  url = {https://www.cambridge.org/core/books/theory-of-composites/DDFAE9A8E827C0F6178FC2DDE8877AD7},
  urldate = {2022-10-08},
  abstract = {Some of the greatest scientists including Poisson, Faraday, Maxwell, Rayleigh, and Einstein have contributed to the theory of composite materials. Mathematically, it is the study of partial differential equations with rapid oscillations in their coefficients. Although extensively studied for more than a hundred years, an explosion of ideas in the last five decades (and particularly in the last three decades) has dramatically increased our understanding of the relationship between the properties of the constituent materials, the underlying microstructure of a composite, and the overall effective (electrical, thermal, elastic) moduli which govern the macroscopic behavior. This renaissance has been fueled by the technological need for improving our knowledge  base of composites, by the advance of the underlying mathematical theory of homogenization, by the discovery of new variational principles, by the recognition of how important the subject is to solving structural optimization problems, and by the realization of the connection with the mathematical problem of quasiconvexification. This 2002 book surveys these exciting developments at the frontier of mathematics.},
  file = {C\:\\Users\\jf.barthelemy\\Documents\\CTOA\\Biblio\\Zotero\\storage\\PZKT7FGK\\Milton_2002_The Theory of Composites.pdf;C\:\\Users\\jf.barthelemy\\Documents\\CTOA\\Biblio\\Zotero\\storage\\JWWD8T5R\\DDFAE9A8E827C0F6178FC2DDE8877AD7.html}
}
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@article{morin2020,
  title = {Generalized {{Euclidean Distances}} for {{Elasticity Tensors}}},
  author = {Morin, Léo and Gilormini, Pierre and Derrien, Katell},
  date = {2020-03},
  journaltitle = {Journal of Elasticity},
  volume = {138},
  number = {2},
  pages = {221--232},
  publisher = {Springer Nature B.V.},
  issn = {0374-3535},
  doi = {10.1007/s10659-019-09741-z},
  url = {http://dx.doi.org/10.1007/s10659-019-09741-z http://link.springer.com/10.1007/s10659-019-09741-z},
  abstract = {The aim of this short paper is to provide, for elasticity tensors, generalized Euclidean distances that preserve the property of invariance by inversion. First, the elasticity law is expressed under a non-dimensional form by means of a gauge, which leads to an expression of elasticity (stiffness or compliance) tensors without units. Based on the difference between functions of the dimensionless tensors, generalized Euclidean distances are then introduced. A subclass of functions is proposed, which permits the retrieval of the classical log-Euclidean distance and the derivation of new distances, namely the arctan-Euclidean and power-Euclidean distances. Finally, these distances are applied to the determination of the closest isotropic tensor to a given elasticity tensor.},
  isbn = {1065901909},
  keywords = {Closest isotropic tensor,Elasticity tensor,Log-Euclidean distance},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\XHPGHKHG\Morin et al_2020_Generalized Euclidean Distances for Elasticity Tensors.pdf}
}
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@book{mura1987,
  title = {Micromechanics of {{Defects}} in {{Solids}}, {{Second Edition}}},
  author = {Mura, Toshio},
  date = {1987},
  publisher = {Kluwer Academic},
  doi = {10.1002/zamm.19890690204},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\NJWIV6FW\Mura_1987_Micromechanics of Defects in Solids, Second Edition.pdf}
}
% == BibLateX quality report for mura1987:
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@book{nemat-nasser1999,
  title = {Micromechanics: {{Overall Properties}} of {{Heterogeneous Materials}} 2nd {{Edition}}},
  author = {Nemat-Nasser, S and Hori, M},
  date = {1999},
  edition = {North Holland},
  publisher = {North Holland},
  location = {Amsterdam, The Netherlands},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\AAGC8627\Nemat-Nasser_Hori_1999_Micromechanics.pdf}
}
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@article{parnell2016,
  title = {The {{Eshelby}}, {{Hill}}, {{Moment}} and {{Concentration Tensors}} for {{Ellipsoidal Inhomogeneities}} in the {{Newtonian Potential Problem}} and {{Linear Elastostatics}}},
  author = {Parnell, William J},
  date = {2016},
  journaltitle = {Journal of Elasticity},
  volume = {125},
  number = {2},
  pages = {231--294},
  publisher = {The Author(s)},
  issn = {0374-3535},
  doi = {10.1007/s10659-016-9573-6},
  url = {http://dx.doi.org/10.1007/s10659-016-9573-6 http://link.springer.com/10.1007/s10659-016-9573-6},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\S8WHXXBW\Parnell_2016_The Eshelby, Hill, Moment and Concentration Tensors for Ellipsoidal.pdf}
}
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@article{pouya2000,
  title = {Une Transformation Du Problème d'élasticité Linéaire En Vue d'application Au Problème de l'inclusion et Aux Fonctions de {{Green}}},
  author = {Pouya, Ahmad},
  date = {2000},
  journaltitle = {C. R. Acad. Sci., Série IIb},
  volume = {328},
  pages = {437--443},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\8N7BQI9Y\Pouya_2000_Une transformation du problème d'élasticité linéaire en vue d'application au.pdf}
}
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@article{pouya2006,
  title = {A Transformation of Elastic Boundary Value Problems with Application to Anisotropic Behavior},
  author = {Pouya, Ahmad and Zaoui, A},
  date = {2006},
  journaltitle = {Int. J. Solids Struct.},
  volume = {43},
  pages = {4937--4956},
  doi = {10.1016/j.ijsolstr.2005.06.046},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\DCS6XCVK\Pouya_Zaoui_2006_A transformation of elastic boundary value problems with application to.pdf}
}
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% ? Possibly abbreviated journal title Int. J. Solids Struct.

@article{sevostianov2002,
  title = {On Elastic Compliances of Irregularly Shaped Cracks},
  author = {Sevostianov, Igor and Kachanov, Mark},
  date = {2002},
  journaltitle = {International Journal of Fracture},
  volume = {114},
  pages = {245--257},
  doi = {10.1023/A:1015534127172},
  abstract = {Several methods are suggested to estimate compliances of irregularly shaped cracks – quantities that determine the increase in the overall compliance of a solid due to introduction of such a crack. Besides, the compliance of an annular crack is given – a result that may be of interest on its own.},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\4GNHJX3R\Sevostianov_Kachanov_2002_On elastic compliances of irregularly shaped cracks.pdf}
}

@article{suvorov2002,
  title = {Rate Form of the {{Eshelby}} and {{Hill}} Tensors},
  author = {Suvorov, Alexander P and Dvorak, George J},
  date = {2002},
  journaltitle = {International Journal of Solids and Structures},
  volume = {39},
  pages = {5659--5678},
  issn = {00207683},
  doi = {10.1016/S0020-7683(02)00369-4},
  abstract = {Expressions are derived for the rates of change of the S and P tensors for transformed homogeneous inclusions in an anisotropic comparison medium undergoing prescribed changes of its elastic moduli. General results are obtained for ellipsoids and then reduced to yield explicit expressions in terms of the Stroh eigenvalues for cylindrical and disk-shaped inclusions in anisotropic solids and for spherical inclusions in isotropic solids. Applications are illustrated by solving the rate problem for an inhomogeneity in a large volume of a comparison medium, which is shown to be readily adaptable to standard averaging techniques for predictions of rates of change of overall moduli of composite materials experiencing evolution of phase moduli. ?? 2002 Elsevier Science Ltd. All rights reserved.},
  keywords = {Anisotropic,Composite materials,Inclusions},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\6K3GYWTN\Suvorov_Dvorak_2002_Rate form of the Eshelby and Hill tensors.pdf}
}

@book{torquato2002,
  title = {Random {{Heterogeneous Materials}}},
  author = {Torquato, Salvatore},
  date = {2002},
  series = {Interdisciplinary {{Applied Mathematics}}},
  volume = {16},
  publisher = {Springer New York},
  location = {New York, NY},
  doi = {10.1007/978-1-4757-6355-3},
  url = {https://link.springer.com/book/10.1007/978-1-4757-6355-3},
  isbn = {978-1-4757-6357-7},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\CU6KMH8W\Torquato_2002_Random Heterogeneous Materials.pdf}
}
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@article{walpole1984,
  title = {Fourth-Rank Tensors of the Thirty-Two Crystal Classes: Multiplication Tables},
  author = {Walpole, L J},
  date = {1984-01},
  journaltitle = {Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
  volume = {391},
  number = {1800},
  pages = {149--179},
  issn = {2053-9169},
  doi = {10.1098/rspa.1984.0008},
  url = {https://royalsocietypublishing.org/doi/10.1098/rspa.1984.0008},
  abstract = {The fourth-rank tensors that embody the elastic or other properties of crystalline anisotropic substances can be partitioned into a number of sets in order that each shall acknowledge the symmetry of one or more of the crystal classes and moreover shall make up a closed linear associative algebra of hypercomplex numbers for the purpose of calculating the sums, products and inverses of its constituent tensors, to which end coordinate invariant expressions of the tensors are adopted. The calculations are simplified immensely, and ensuing physical analyses are well prepared for, once the structure of every algebra is unravelled completely in terms of a number of separate subalgebras isomorphic to familiar algebras such as the binary one of the complex numbers, the quaternary one of the 2x2 matrices and the octonary one of the complex quaternions. The fourth-rank tensors do not seem to have been submitted previously to the present algebraic point of view, and nor do those of any other rank: a parallel, but less intricate, development can be provided for the second-rank ones.},
  file = {C\:\\Users\\jf.barthelemy\\Documents\\CTOA\\Biblio\\Zotero\\storage\\B9D2EDNR\\Walpole_1984_Fourth-rank tensors of the thirty-two crystal classes.pdf;C\:\\Users\\jf.barthelemy\\Documents\\CTOA\\Biblio\\Zotero\\storage\\D3RSU7YA\\Walpole_1984_Fourth-rank tensors of the thirty-two crystal classes.pdf}
}
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@article{willis1977,
  title = {Bounds and Self-Consistent Estimates for the Overall Properties of Anisotropic Composites},
  author = {Willis, J. R.},
  date = {1977-06-01},
  journaltitle = {Journal of the Mechanics and Physics of Solids},
  shortjournal = {Journal of the Mechanics and Physics of Solids},
  volume = {25},
  number = {3},
  pages = {185--202},
  issn = {0022-5096},
  doi = {10.1016/0022-5096(77)90022-9},
  url = {https://www.sciencedirect.com/science/article/pii/0022509677900229},
  urldate = {2022-10-11},
  abstract = {Bounds of Hashin-Shtrikman type and self-consistent estimates for the overall properties of composites, which may be anisotropic, are developed. Bodies containing aligned ellipsoidal inclusions are considered particularly, generalizing previously known results. The overall thermal conductivity of a body containing aligned spheroidal inclusions is discussed as an example including, as limiting cases, bodies containing highly-conducting aligned needles and bodies containing aligned pennyshaped cracks.},
  langid = {english},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\GS79VIGL\Willis_1977_Bounds and self-consistent estimates for the overall properties of anisotropic.pdf}
}
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@article{withers1989,
  title = {The Determination of the Elastic Field of an Ellipsoidal Inclusion in a Transversely Isotropic Medium, and Its Relevance to Composite Materials},
  author = {Withers, P J},
  date = {1989},
  journaltitle = {Philosophical Magazine A},
  volume = {59},
  number = {4},
  pages = {759--781},
  issn = {0141-8610},
  doi = {10.1080/01418618908209819},
  url = {http://www.tandfonline.com/doi/abs/10.1080/01418618908209819},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\GSZPXI4G\Withers_1989_The determination of the elastic field of an ellipsoidal inclusion in a.pdf}
}

@article{zaoui2002,
  title = {Continuum {{Micromechanics}}: {{Survey}}},
  shorttitle = {Continuum {{Micromechanics}}},
  author = {Zaoui, André},
  date = {2002},
  journaltitle = {Journal of Engineering Mechanics},
  shortjournal = {J. Eng. Mech.},
  volume = {128},
  number = {8},
  pages = {808--816},
  issn = {0733-9399, 1943-7889},
  doi = {10.1061/(ASCE)0733-9399(2002)128:8(808)},
  url = {https://ascelibrary.org/doi/10.1061/%28ASCE%290733-9399%282002%29128%3A8%28808%29},
  urldate = {2022-10-07},
  abstract = {The foundations of classical homogenization techniques, which aim at predicting the overall behavior of heterogeneous materials from that of their constituents, are reviewed. After introductory definitions and a methodological preamble, attention is focused on linear elasticity, for which the basic principles of estimating and bounding the overall properties are introduced and illustrated. In this context, special recourse is made for that to the solution of the inclusion and inhomogeneity problems as reported by Eshelby in 1957. Approaches proposed recently to account in a better way for the structural morphology of the considered materials are briefly mentioned. The case of linear elasticity with eigenstrains is then discussed: several applications, including heterogeneous thermoelasticity, can be investigated within this framework. Finally, outlines of nonlinear micromechanics are briefly reported from a historical point of view: from rate-independent elastoplasticity to nonlinear elasticity and viscoplasticity, examples of a fruitful interaction between the search for new estimates and the derivation of rigorous bounds are given and the crucial question of the description of intraphase heterogeneity is emphasized. Viscoelastic coupling and rate-dependent effects are briefly discussed in conclusion.},
  langid = {english},
  file = {C:\Users\jf.barthelemy\Documents\CTOA\Biblio\Zotero\storage\VSK9WJS7\Zaoui_2002_Continuum Micromechanics.pdf}
}
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