DOI: 10.1016/s0022-5096(02)00037-6. A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals

A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals

10.1016/s0022-5096(02)00037-6

Crossref journal-article

Elsevier BV

Journal of the Mechanics and Physics of Solids (78)

Bibliography

Koslowski, M., CuitiÃ±o, A. M., & Ortiz, M. (2002). A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals. Journal of the Mechanics and Physics of Solids, 50(12), 2597â2635.

Authors 3

M. Koslowski (first)
A.M. Cuitiño (additional)
M. Ortiz (additional)

References 38 Referenced 242

{'key': '10.1016/S0022-5096(02)00037-6_BIB1', 'series-title': 'Strengthening Methods in Crystals', 'first-page': '137', 'article-title': 'The deformation of plastically non-homogeneous alloys', 'author': 'Ashby', 'year': '1972'} / Strengthening Methods in Crystals / The deformation of plastically non-homogeneous alloys by Ashby (1972)
10.1088/0965-0393/6/1/002 / Modelling Simul. Mater. Sci. Eng. / An atomistic study of the strength of an extended-dislocation barrier by Baskes (1998)
{'issue': '3', 'key': '10.1016/S0022-5096(02)00037-6_BIB3', 'first-page': '333', 'article-title': 'Constitutive modeling of the stored energy of cold work under cyclic loading', 'volume': '14', 'author': 'Bodner', 'year': '1995', 'journal-title': 'Eur. J. Mech. A'} / Eur. J. Mech. A / Constitutive modeling of the stored energy of cold work under cyclic loading by Bodner (1995)
{'key': '10.1016/S0022-5096(02)00037-6_BIB4', 'series-title': 'Optimization and Nonsmooth Analysis', 'author': 'Clarke', 'year': '1983'} / Optimization and Nonsmooth Analysis by Clarke (1983)
{'key': '10.1016/S0022-5096(02)00037-6_BIB5', 'first-page': '255', 'article-title': 'Computational modeling of single crystals', 'volume': '1', 'author': 'Cuitiño', 'year': '1992', 'journal-title': 'Modelling Simul. Mater. Sci. Eng.'} / Modelling Simul. Mater. Sci. Eng. / Computational modeling of single crystals by Cuitiño (1992)
Dahmen, K., Kartha, S., Krumhansi, A., Roberts, B.W., P., S.J., D., S.J., 1994. Disorder-driven first-order phase transformations: a model of hysteresis. J. Appl. Phys. 75, 5946–5948. (10.1063/1.355522)
10.1103/PhysRevB.61.913 / Phys. Rev. B / Parametric dislocation dynamics: a thermodynamics-based approach to investigations of mesoscopic plastic deformation by Ghoniem (2000)
10.1016/S0022-5096(01)00025-4 / J. Mech. Phys. Solids / Reconciliation of atomic-level and continuum notions concerning the interaction of dislocations and obstacles by Hardikar (2001)
{'key': '10.1016/S0022-5096(02)00037-6_BIB9', 'series-title': 'Theory of Dislocations', 'author': 'Hirth', 'year': '1968'} / Theory of Dislocations by Hirth (1968)
10.1080/01418619608240729 / Philos. Mag. A / Generalized stacking fault energy surfaces and dislocation properties of silicon: a first-principles theoretical study by Juan (1996)
10.1080/095008396180704 / Philos. Mag. Lett. / Ledge effects on dislocation emission from a crack tip: a first-principles study for silicon by Juan (1996)
10.1002/1097-0207(20001210)49:10<1295::AID-NME993>3.0.CO;2-W / Int. J. Numer. Method Eng. / Variational integrators and the newmark algorithm for conservative and dissipative mechanical systems by Kane (2000)
10.1007/BF02677975 / J. Nonlinear Sci. / The hysteric event in the computation of magnetization by Kinderlehrer (1997)
10.1007/BF01337948 / Zeitung Physik / Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls by Kröner (1958)
10.1016/0001-6160(62)90120-7 / Acta Metall. / The density and distribution of dislocations in deformed copper crystals by Livingston (1962)
{'key': '10.1016/S0022-5096(02)00037-6_BIB16', 'series-title': 'Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences', 'author': 'Mathai', 'year': '1987'} / Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences by Mathai (1987)
Morrow, J., 1975. Unpublished test results.
{'key': '10.1016/S0022-5096(02)00037-6_BIB18', 'series-title': 'Micromechanics of Defects in Solids', 'author': 'Mura', 'year': '1987'} / Micromechanics of Defects in Solids by Mura (1987)
10.1016/0001-6160(53)90054-6 / Acta Metall. / Some geometrical relations in dislocated crystals by Nye (1953)
10.1115/1.2791048 / J. Appl. Mech.-Trans. ASME / Plastic yielding as a phase transition by Ortiz (1999)
10.1016/S0065-2156(08)70184-4 / Adv. Appl. Mech. / Nanomechanics of defects in solids by Ortiz (1999)
10.1098/rspa.1982.0025 / Proc. R. Soc. London / A statistical theory of polycrystalline plasticity by Ortiz (1982)
10.1016/S0022-5096(97)00096-3 / J. Mech. Phys. Solids / Nonconvex energy minimization and dislocation structures in ductile single crystals by Ortiz (1999)
10.1016/S0045-7825(98)00219-9 / Comput. Meth. Appl. Mech. Eng. / The variational formulation of viscoplastic constitutive updates by Ortiz (1999)
10.1016/S0022-5096(99)00104-0 / J. Mech. Phys. Solids / A theory of subgrain dislocation structures by Ortiz (2000)
10.1088/0965-0393/7/5/309 / Modelling Simul. Mater. Sci. Eng. / Hierarchical models of plasticity: dislocation nucleation and interaction by Phillips (1999)
10.1016/S0045-7825(98)00230-8 / Comput. Methods Appl. Mech. Eng. / Error estimation and adaptive meshing in strongly nonlinear dynamic problems by Radovitzky (1999)
10.1016/S0022-5096(05)80012-2 / J. Mech. Phys. Solids / Dislocation nucleation from a crack tip—an analysis based on the Peierls concept by Rice (1992)
{'key': '10.1016/S0022-5096(02)00037-6_BIB29', 'series-title': 'Convex Analysis', 'author': 'Rockafellar', 'year': '1970'} / Convex Analysis by Rockafellar (1970)
10.1103/PhysRevLett.82.1704 / Phys. Rev. Lett. / Structure and strength of dislocation junctions: an atomic level analysis by Rodney (1999)
Sethna, J.P., Dahmen, K., Kartha, S., A., K.J., Roberts, B.W., D., S.J., 1993. Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations. Phys. Rev. Lett. 70, 3347–3350. (10.1103/PhysRevLett.70.3347)
10.1103/PhysRevLett.84.1491 / Phys. Rev. Lett. / Mesoscopic analysis of structure and strength of dislocation junctions in fcc metals by Shenoy (2000)
10.1016/0921-5093(93)90370-T / Mater. Sci. Eng. A / Estimates from atomic models of tension shear coupling in dislocation nucleation from a crack tip by Sun (1993)
Sun, Y., Rice, J., Truskinovsky, L., 1991. In: Dislocation nucleation versus cleavage in Ni3Al and Ni. High-Temperature Ordered Intermetallic Alloys, Vol. 213. Materials Research Society, Warrendale, PA, pp. 243–248. (10.1557/PROC-213-243)
10.1063/1.1366370 / Appl. Phys. Lett. / Phase field microelasticity theory and modeling of multiple dislocation dynamics by Wang (2001)
10.1115/1.1305276 / J. Appl. Mech. ASME / A variational boundary integral method for the analysis of three-dimensional cracks of arbitrary geometry in anisotropic elastic solids by Xu (2000)
10.1002/nme.1620362107 / Int. J. Numer. Meth. Eng. / A variational boundary integral method for the analysis of three-dimensional cracks of arbitrary geometry modeled as continuous distributions of dislocation loops by Xu (1993)
10.1080/01418618108239509 / Philos. Mag. / Planar faults in the Li2 lattice, stability and structure by Yamaguchi (1981)

Dates

Type	When
Created	22 years, 10 months ago (Oct. 16, 2002, 4:55 p.m.)
Deposited	5 years, 5 months ago (March 10, 2020, 10:44 a.m.)
Indexed	1 week, 5 days ago (Aug. 12, 2025, 6:18 p.m.)
Issued	22 years, 8 months ago (Dec. 1, 2002)
Published	22 years, 8 months ago (Dec. 1, 2002)
Published Print	22 years, 8 months ago (Dec. 1, 2002)

Funders 0

None

BibTeX

@article{Koslowski_2002, title={A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals}, volume={50}, ISSN={0022-5096}, url={http://dx.doi.org/10.1016/s0022-5096(02)00037-6}, DOI={10.1016/s0022-5096(02)00037-6}, number={12}, journal={Journal of the Mechanics and Physics of Solids}, publisher={Elsevier BV}, author={Koslowski, M. and Cuitiño, A.M. and Ortiz, M.}, year={2002}, month=dec, pages={2597–2635} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        12
      ]
    ],
    "date-time": "2025-08-12T22:18:37Z",
    "timestamp": 1755037117020
  },
  "reference-count": 38,
  "publisher": "Elsevier BV",
  "issue": "12",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2002,
            12,
            1
          ]
        ],
        "date-time": "2002-12-01T00:00:00Z",
        "timestamp": 1038700800000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "https://www.elsevier.com/tdm/userlicense/1.0/"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        2002,
        12
      ]
    ]
  },
  "DOI": "10.1016/s0022-5096(02)00037-6",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        10,
        16
      ]
    ],
    "date-time": "2002-10-16T20:55:29Z",
    "timestamp": 1034801729000
  },
  "page": "2597-2635",
  "source": "Crossref",
  "is-referenced-by-count": 242,
  "title": "A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals",
  "prefix": "10.1016",
  "volume": "50",
  "author": [
    {
      "given": "M.",
      "family": "Koslowski",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "A.M.",
      "family": "Cuiti\u00f1o",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "M.",
      "family": "Ortiz",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "78",
  "reference": [
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB1",
      "series-title": "Strengthening Methods in Crystals",
      "first-page": "137",
      "article-title": "The deformation of plastically non-homogeneous alloys",
      "author": "Ashby",
      "year": "1972"
    },
    {
      "issue": "1",
      "key": "10.1016/S0022-5096(02)00037-6_BIB2",
      "doi-asserted-by": "crossref",
      "first-page": "9",
      "DOI": "10.1088/0965-0393/6/1/002",
      "article-title": "An atomistic study of the strength of an extended-dislocation barrier",
      "volume": "6",
      "author": "Baskes",
      "year": "1998",
      "journal-title": "Modelling Simul. Mater. Sci. Eng."
    },
    {
      "issue": "3",
      "key": "10.1016/S0022-5096(02)00037-6_BIB3",
      "first-page": "333",
      "article-title": "Constitutive modeling of the stored energy of cold work under cyclic loading",
      "volume": "14",
      "author": "Bodner",
      "year": "1995",
      "journal-title": "Eur. J. Mech. A"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB4",
      "series-title": "Optimization and Nonsmooth Analysis",
      "author": "Clarke",
      "year": "1983"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB5",
      "first-page": "255",
      "article-title": "Computational modeling of single crystals",
      "volume": "1",
      "author": "Cuiti\u00f1o",
      "year": "1992",
      "journal-title": "Modelling Simul. Mater. Sci. Eng."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB6",
      "doi-asserted-by": "crossref",
      "unstructured": "Dahmen, K., Kartha, S., Krumhansi, A., Roberts, B.W., P., S.J., D., S.J., 1994. Disorder-driven first-order phase transformations: a model of hysteresis. J. Appl. Phys. 75, 5946\u20135948.",
      "DOI": "10.1063/1.355522"
    },
    {
      "issue": "2",
      "key": "10.1016/S0022-5096(02)00037-6_BIB7",
      "doi-asserted-by": "crossref",
      "first-page": "913",
      "DOI": "10.1103/PhysRevB.61.913",
      "article-title": "Parametric dislocation dynamics: a thermodynamics-based approach to investigations of mesoscopic plastic deformation",
      "volume": "61",
      "author": "Ghoniem",
      "year": "2000",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB8",
      "doi-asserted-by": "crossref",
      "first-page": "1951",
      "DOI": "10.1016/S0022-5096(01)00025-4",
      "article-title": "Reconciliation of atomic-level and continuum notions concerning the interaction of dislocations and obstacles",
      "volume": "49",
      "author": "Hardikar",
      "year": "2001",
      "journal-title": "J. Mech. Phys. Solids"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB9",
      "series-title": "Theory of Dislocations",
      "author": "Hirth",
      "year": "1968"
    },
    {
      "issue": "6",
      "key": "10.1016/S0022-5096(02)00037-6_BIB10",
      "doi-asserted-by": "crossref",
      "first-page": "1367",
      "DOI": "10.1080/01418619608240729",
      "article-title": "Generalized stacking fault energy surfaces and dislocation properties of silicon: a first-principles theoretical study",
      "volume": "74",
      "author": "Juan",
      "year": "1996",
      "journal-title": "Philos. Mag. A"
    },
    {
      "issue": "5",
      "key": "10.1016/S0022-5096(02)00037-6_BIB11",
      "doi-asserted-by": "crossref",
      "first-page": "233",
      "DOI": "10.1080/095008396180704",
      "article-title": "Ledge effects on dislocation emission from a crack tip: a first-principles study for silicon",
      "volume": "73",
      "author": "Juan",
      "year": "1996",
      "journal-title": "Philos. Mag. Lett."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB12",
      "doi-asserted-by": "crossref",
      "first-page": "1295",
      "DOI": "10.1002/1097-0207(20001210)49:10<1295::AID-NME993>3.0.CO;2-W",
      "article-title": "Variational integrators and the newmark algorithm for conservative and dissipative mechanical systems",
      "volume": "49",
      "author": "Kane",
      "year": "2000",
      "journal-title": "Int. J. Numer. Method Eng."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB13",
      "doi-asserted-by": "crossref",
      "first-page": "101",
      "DOI": "10.1007/BF02677975",
      "article-title": "The hysteric event in the computation of magnetization",
      "volume": "23",
      "author": "Kinderlehrer",
      "year": "1997",
      "journal-title": "J. Nonlinear Sci."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB14",
      "doi-asserted-by": "crossref",
      "first-page": "504",
      "DOI": "10.1007/BF01337948",
      "article-title": "Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls",
      "volume": "151",
      "author": "Kr\u00f6ner",
      "year": "1958",
      "journal-title": "Zeitung Physik"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB15",
      "doi-asserted-by": "crossref",
      "first-page": "229",
      "DOI": "10.1016/0001-6160(62)90120-7",
      "article-title": "The density and distribution of dislocations in deformed copper crystals",
      "volume": "10",
      "author": "Livingston",
      "year": "1962",
      "journal-title": "Acta Metall."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB16",
      "series-title": "Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences",
      "author": "Mathai",
      "year": "1987"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB17",
      "unstructured": "Morrow, J., 1975. Unpublished test results."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB18",
      "series-title": "Micromechanics of Defects in Solids",
      "author": "Mura",
      "year": "1987"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB19",
      "doi-asserted-by": "crossref",
      "first-page": "153",
      "DOI": "10.1016/0001-6160(53)90054-6",
      "article-title": "Some geometrical relations in dislocated crystals",
      "volume": "1",
      "author": "Nye",
      "year": "1953",
      "journal-title": "Acta Metall."
    },
    {
      "issue": "2",
      "key": "10.1016/S0022-5096(02)00037-6_BIB20",
      "doi-asserted-by": "crossref",
      "first-page": "289",
      "DOI": "10.1115/1.2791048",
      "article-title": "Plastic yielding as a phase transition",
      "volume": "66",
      "author": "Ortiz",
      "year": "1999",
      "journal-title": "J. Appl. Mech.-Trans. ASME"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB21",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1016/S0065-2156(08)70184-4",
      "article-title": "Nanomechanics of defects in solids",
      "volume": "36",
      "author": "Ortiz",
      "year": "1999",
      "journal-title": "Adv. Appl. Mech."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB22",
      "doi-asserted-by": "crossref",
      "first-page": "439",
      "DOI": "10.1098/rspa.1982.0025",
      "article-title": "A statistical theory of polycrystalline plasticity",
      "volume": "A379",
      "author": "Ortiz",
      "year": "1982",
      "journal-title": "Proc. R. Soc. London"
    },
    {
      "issue": "2",
      "key": "10.1016/S0022-5096(02)00037-6_BIB23",
      "doi-asserted-by": "crossref",
      "first-page": "397",
      "DOI": "10.1016/S0022-5096(97)00096-3",
      "article-title": "Nonconvex energy minimization and dislocation structures in ductile single crystals",
      "volume": "47",
      "author": "Ortiz",
      "year": "1999",
      "journal-title": "J. Mech. Phys. Solids"
    },
    {
      "issue": "3\u20134",
      "key": "10.1016/S0022-5096(02)00037-6_BIB24",
      "doi-asserted-by": "crossref",
      "first-page": "419",
      "DOI": "10.1016/S0045-7825(98)00219-9",
      "article-title": "The variational formulation of viscoplastic constitutive updates",
      "volume": "171",
      "author": "Ortiz",
      "year": "1999",
      "journal-title": "Comput. Meth. Appl. Mech. Eng."
    },
    {
      "issue": "10",
      "key": "10.1016/S0022-5096(02)00037-6_BIB25",
      "doi-asserted-by": "crossref",
      "first-page": "2077",
      "DOI": "10.1016/S0022-5096(99)00104-0",
      "article-title": "A theory of subgrain dislocation structures",
      "volume": "48",
      "author": "Ortiz",
      "year": "2000",
      "journal-title": "J. Mech. Phys. Solids"
    },
    {
      "issue": "5",
      "key": "10.1016/S0022-5096(02)00037-6_BIB26",
      "doi-asserted-by": "crossref",
      "first-page": "769",
      "DOI": "10.1088/0965-0393/7/5/309",
      "article-title": "Hierarchical models of plasticity: dislocation nucleation and interaction",
      "volume": "7",
      "author": "Phillips",
      "year": "1999",
      "journal-title": "Modelling Simul. Mater. Sci. Eng."
    },
    {
      "issue": "1\u20134",
      "key": "10.1016/S0022-5096(02)00037-6_BIB27",
      "doi-asserted-by": "crossref",
      "first-page": "203",
      "DOI": "10.1016/S0045-7825(98)00230-8",
      "article-title": "Error estimation and adaptive meshing in strongly nonlinear dynamic problems",
      "volume": "172",
      "author": "Radovitzky",
      "year": "1999",
      "journal-title": "Comput. Methods Appl. Mech. Eng."
    },
    {
      "issue": "2",
      "key": "10.1016/S0022-5096(02)00037-6_BIB28",
      "doi-asserted-by": "crossref",
      "first-page": "239",
      "DOI": "10.1016/S0022-5096(05)80012-2",
      "article-title": "Dislocation nucleation from a crack tip\u2014an analysis based on the Peierls concept",
      "volume": "40",
      "author": "Rice",
      "year": "1992",
      "journal-title": "J. Mech. Phys. Solids"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB29",
      "series-title": "Convex Analysis",
      "author": "Rockafellar",
      "year": "1970"
    },
    {
      "issue": "8",
      "key": "10.1016/S0022-5096(02)00037-6_BIB30",
      "doi-asserted-by": "crossref",
      "first-page": "1704",
      "DOI": "10.1103/PhysRevLett.82.1704",
      "article-title": "Structure and strength of dislocation junctions: an atomic level analysis",
      "volume": "82",
      "author": "Rodney",
      "year": "1999",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB31",
      "doi-asserted-by": "crossref",
      "unstructured": "Sethna, J.P., Dahmen, K., Kartha, S., A., K.J., Roberts, B.W., D., S.J., 1993. Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations. Phys. Rev. Lett. 70, 3347\u20133350.",
      "DOI": "10.1103/PhysRevLett.70.3347"
    },
    {
      "issue": "7",
      "key": "10.1016/S0022-5096(02)00037-6_BIB32",
      "doi-asserted-by": "crossref",
      "first-page": "1491",
      "DOI": "10.1103/PhysRevLett.84.1491",
      "article-title": "Mesoscopic analysis of structure and strength of dislocation junctions in fcc metals",
      "volume": "84",
      "author": "Shenoy",
      "year": "2000",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "issue": "1\u20132",
      "key": "10.1016/S0022-5096(02)00037-6_BIB33",
      "doi-asserted-by": "crossref",
      "first-page": "67",
      "DOI": "10.1016/0921-5093(93)90370-T",
      "article-title": "Estimates from atomic models of tension shear coupling in dislocation nucleation from a crack tip",
      "volume": "170",
      "author": "Sun",
      "year": "1993",
      "journal-title": "Mater. Sci. Eng. A"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB34",
      "doi-asserted-by": "crossref",
      "unstructured": "Sun, Y., Rice, J., Truskinovsky, L., 1991. In: Dislocation nucleation versus cleavage in Ni3Al and Ni. High-Temperature Ordered Intermetallic Alloys, Vol. 213. Materials Research Society, Warrendale, PA, pp. 243\u2013248.",
      "DOI": "10.1557/PROC-213-243"
    },
    {
      "issue": "16",
      "key": "10.1016/S0022-5096(02)00037-6_BIB35",
      "doi-asserted-by": "crossref",
      "first-page": "2324",
      "DOI": "10.1063/1.1366370",
      "article-title": "Phase field microelasticity theory and modeling of multiple dislocation dynamics",
      "volume": "78",
      "author": "Wang",
      "year": "2001",
      "journal-title": "Appl. Phys. Lett."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB36",
      "doi-asserted-by": "crossref",
      "first-page": "403",
      "DOI": "10.1115/1.1305276",
      "article-title": "A variational boundary integral method for the analysis of three-dimensional cracks of arbitrary geometry in anisotropic elastic solids",
      "volume": "67",
      "author": "Xu",
      "year": "2000",
      "journal-title": "J. Appl. Mech. ASME"
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB37",
      "doi-asserted-by": "crossref",
      "first-page": "3675",
      "DOI": "10.1002/nme.1620362107",
      "article-title": "A variational boundary integral method for the analysis of three-dimensional cracks of arbitrary geometry modeled as continuous distributions of dislocation loops",
      "volume": "36",
      "author": "Xu",
      "year": "1993",
      "journal-title": "Int. J. Numer. Meth. Eng."
    },
    {
      "key": "10.1016/S0022-5096(02)00037-6_BIB38",
      "doi-asserted-by": "crossref",
      "first-page": "1027",
      "DOI": "10.1080/01418618108239509",
      "article-title": "Planar faults in the Li2 lattice, stability and structure",
      "volume": "43",
      "author": "Yamaguchi",
      "year": "1981",
      "journal-title": "Philos. Mag."
    }
  ],
  "container-title": "Journal of the Mechanics and Physics of Solids",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://api.elsevier.com/content/article/PII:S0022509602000376?httpAccept=text/xml",
      "content-type": "text/xml",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://api.elsevier.com/content/article/PII:S0022509602000376?httpAccept=text/plain",
      "content-type": "text/plain",
      "content-version": "vor",
      "intended-application": "text-mining"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2020,
        3,
        10
      ]
    ],
    "date-time": "2020-03-10T14:44:48Z",
    "timestamp": 1583851488000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://linkinghub.elsevier.com/retrieve/pii/S0022509602000376"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2002,
        12
      ]
    ]
  },
  "references-count": 38,
  "journal-issue": {
    "issue": "12",
    "published-print": {
      "date-parts": [
        [
          2002,
          12
        ]
      ]
    }
  },
  "alternative-id": [
    "S0022509602000376"
  ],
  "URL": "http://dx.doi.org/10.1016/S0022-5096(02)00037-6",
  "relation": {},
  "ISSN": [
    "0022-5096"
  ],
  "subject": [],
  "container-title-short": "Journal of the Mechanics and Physics of Solids",
  "published": {
    "date-parts": [
      [
        2002,
        12
      ]
    ]
  }
}