DOI: 10.1016/j.actamat.2007.11.033. A generalized Peierls–Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu

A generalized Peierls–Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu

10.1016/j.actamat.2007.11.033

Crossref journal-article

Elsevier BV

Acta Materialia (78)

Authors 4

Yang Xiang (first)
He Wei (additional)
Pingbing Ming (additional)
Weinan E (additional)

References 45 Referenced 80

{'key': '10.1016/j.actamat.2007.11.033_bib1', 'series-title': 'Theory of dislocations', 'author': 'Hirth', 'year': '1982'} / Theory of dislocations by Hirth (1982)
10.1088/0959-5309/52/1/305 / Proc Phys Soc by Peierls (1940)
10.1088/0959-5309/59/2/309 / Proc Phys Soc by Nabarro (1947)
10.1007/BF01397292 / Z Phys by Frenkel (1926)
10.1080/14786436808227500 / Philos Mag by Vitek (1968)
10.1103/PhysRevLett.70.3752 / Phys Rev Lett by Kaxiras (1993)
10.1103/PhysRevB.50.5890 / Phys Rev B by Joos (1994)
10.1080/01418619608240729 / Philos Mag A by Juan (1996)
10.1103/PhysRevLett.78.4221 / Phys Rev Lett by Bulatov (1997)
10.1103/PhysRevB.58.2487 / Phys Rev B by Hartford (1998)
10.1103/PhysRevB.62.3099 / Phys Rev B by Lu (2000)
10.1080/01418619408242240 / Philos Mag A by Schoeck (1994)
10.1080/14786430412331314654 / Philos Mag by Schoeck (2005)
10.1080/14786444908561420 / Philos Mag by Eshelby (1949)
10.1016/0001-6160(53)90082-0 / Acta Metall by Seeger (1953)
10.1017/S0956792598003489 / Eur J Appl Math by Movchan (1998)
10.1080/01418619908212014 / Philos Mag A by Schoeck (1999)
10.1016/S0022-5096(98)00057-X / J Mech Phys Solid by Miller (1998)
10.1016/S0022-5096(96)00125-1 / J Mech Phys Solid by Ngan (1997)
10.1080/14786430310001634630 / Philos Mag by Lu (2003)
10.1080/09500830050134318 / Philos Mag Lett by Xu (2000)
10.1002/nme.1620362107 / Int J Numer Method Eng by Xu (1993)
10.1115/1.1305276 / J Appl Mech by Xu (2000)
10.1080/01418618208236217 / Philos Mag A by Lothe (1982)
10.1016/S0022-5096(05)80012-2 / J Mech Phys Solid by Rice (1992)
10.1080/0141861021000049256 / Philos Mag by Movchan (2003)
10.1080/14786430701528739 / Philos Mag by Banerjee (2007)
10.1016/S1359-6454(01)00075-1 / Acta Mater by Wang (2001)
10.1016/S0022-5096(02)00037-6 / J Mech Phys Solid by Koslowski (2002)
10.1016/j.actamat.2003.10.014 / Acta Mater by Shen (2004)
10.1016/0001-6160(53)90054-6 / Acta Metall by Nye (1953)
10.1007/BF01337948 / Z Phys by Kröner (1958)
{'key': '10.1016/j.actamat.2007.11.033_bib33', 'series-title': 'Micromechanics of defects in solids', 'author': 'Mura', 'year': '1987'} / Micromechanics of defects in solids by Mura (1987)
Ming PB, Xiang Y, Yang Z, E W., in preparation.
10.1103/PhysRevLett.47.675 / Phys Rev Lett by Rose (1981)
10.1016/0022-5096(90)90001-K / J Mech Phys Solid by Needleman (1990)
{'key': '10.1016/j.actamat.2007.11.033_bib37', 'series-title': 'Modeling the deformation of crystalline solids', 'first-page': '457', 'author': 'Beltz', 'year': '1991'} / Modeling the deformation of crystalline solids by Beltz (1991)
10.1016/0956-716X(91)90330-4 / Scripta Metall by Bozzolo (1991)
{'key': '10.1016/j.actamat.2007.11.033_bib39', 'series-title': 'Foundations of solid mechanics', 'author': 'Fung', 'year': '1965'} / Foundations of solid mechanics by Fung (1965)
10.1088/0965-0393/8/2/302 / Modell Simul Mater Sci Eng by Zimmerman (2000)
10.1080/14786437108217418 / Philos Mag by Stobbs (1971)
10.1080/01418619108204596 / Philos Mag A by Schoeck (1991)
10.1080/01418619508239933 / Philos Mag A by Xu (1995)
10.1146/annurev.matsci.29.1.173 / Annu Rev Mater Sci by Gao (1999)
10.1016/S0022-5096(03)00067-X / J Mech Phys Solid by Xu (2001)

Dates

Type	When
Created	17 years, 7 months ago (Jan. 17, 2008, 8:03 a.m.)
Deposited	6 years, 7 months ago (Jan. 1, 2019, 7:59 a.m.)
Indexed	3 days, 4 hours ago (Aug. 23, 2025, 9:28 p.m.)
Issued	17 years, 4 months ago (April 1, 2008)
Published	17 years, 4 months ago (April 1, 2008)
Published Print	17 years, 4 months ago (April 1, 2008)

Funders 0

None

BibTeX

@article{Xiang_2008, title={A generalized Peierls–Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu}, volume={56}, ISSN={1359-6454}, url={http://dx.doi.org/10.1016/j.actamat.2007.11.033}, DOI={10.1016/j.actamat.2007.11.033}, number={7}, journal={Acta Materialia}, publisher={Elsevier BV}, author={Xiang, Yang and Wei, He and Ming, Pingbing and E, Weinan}, year={2008}, month=apr, pages={1447–1460} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        24
      ]
    ],
    "date-time": "2025-08-24T01:28:41Z",
    "timestamp": 1755998921696
  },
  "reference-count": 45,
  "publisher": "Elsevier BV",
  "issue": "7",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2008,
            4,
            1
          ]
        ],
        "date-time": "2008-04-01T00:00:00Z",
        "timestamp": 1207008000000
      },
      "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": [
      [
        2008,
        4
      ]
    ]
  },
  "DOI": "10.1016/j.actamat.2007.11.033",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2008,
        1,
        17
      ]
    ],
    "date-time": "2008-01-17T13:03:20Z",
    "timestamp": 1200575000000
  },
  "page": "1447-1460",
  "source": "Crossref",
  "is-referenced-by-count": 80,
  "title": "A generalized Peierls\u2013Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu",
  "prefix": "10.1016",
  "volume": "56",
  "author": [
    {
      "given": "Yang",
      "family": "Xiang",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "He",
      "family": "Wei",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Pingbing",
      "family": "Ming",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Weinan",
      "family": "E",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "78",
  "reference": [
    {
      "key": "10.1016/j.actamat.2007.11.033_bib1",
      "series-title": "Theory of dislocations",
      "author": "Hirth",
      "year": "1982"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib2",
      "doi-asserted-by": "crossref",
      "first-page": "34",
      "DOI": "10.1088/0959-5309/52/1/305",
      "volume": "52",
      "author": "Peierls",
      "year": "1940",
      "journal-title": "Proc Phys Soc"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib3",
      "doi-asserted-by": "crossref",
      "first-page": "256",
      "DOI": "10.1088/0959-5309/59/2/309",
      "volume": "59",
      "author": "Nabarro",
      "year": "1947",
      "journal-title": "Proc Phys Soc"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib4",
      "doi-asserted-by": "crossref",
      "first-page": "572",
      "DOI": "10.1007/BF01397292",
      "volume": "37",
      "author": "Frenkel",
      "year": "1926",
      "journal-title": "Z Phys"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib5",
      "doi-asserted-by": "crossref",
      "first-page": "773",
      "DOI": "10.1080/14786436808227500",
      "volume": "18",
      "author": "Vitek",
      "year": "1968",
      "journal-title": "Philos Mag"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib6",
      "doi-asserted-by": "crossref",
      "first-page": "3752",
      "DOI": "10.1103/PhysRevLett.70.3752",
      "volume": "70",
      "author": "Kaxiras",
      "year": "1993",
      "journal-title": "Phys Rev Lett"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib7",
      "doi-asserted-by": "crossref",
      "first-page": "5890",
      "DOI": "10.1103/PhysRevB.50.5890",
      "volume": "50",
      "author": "Joos",
      "year": "1994",
      "journal-title": "Phys Rev B"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib8",
      "doi-asserted-by": "crossref",
      "first-page": "1367",
      "DOI": "10.1080/01418619608240729",
      "volume": "74",
      "author": "Juan",
      "year": "1996",
      "journal-title": "Philos Mag A"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib9",
      "doi-asserted-by": "crossref",
      "first-page": "4221",
      "DOI": "10.1103/PhysRevLett.78.4221",
      "volume": "78",
      "author": "Bulatov",
      "year": "1997",
      "journal-title": "Phys Rev Lett"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib10",
      "doi-asserted-by": "crossref",
      "first-page": "2487",
      "DOI": "10.1103/PhysRevB.58.2487",
      "volume": "58",
      "author": "Hartford",
      "year": "1998",
      "journal-title": "Phys Rev B"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib11",
      "doi-asserted-by": "crossref",
      "first-page": "3099",
      "DOI": "10.1103/PhysRevB.62.3099",
      "volume": "62",
      "author": "Lu",
      "year": "2000",
      "journal-title": "Phys Rev B"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib12",
      "doi-asserted-by": "crossref",
      "first-page": "1085",
      "DOI": "10.1080/01418619408242240",
      "volume": "69",
      "author": "Schoeck",
      "year": "1994",
      "journal-title": "Philos Mag A"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib13",
      "doi-asserted-by": "crossref",
      "first-page": "949",
      "DOI": "10.1080/14786430412331314654",
      "volume": "85",
      "author": "Schoeck",
      "year": "2005",
      "journal-title": "Philos Mag"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib14",
      "doi-asserted-by": "crossref",
      "first-page": "903",
      "DOI": "10.1080/14786444908561420",
      "volume": "40",
      "author": "Eshelby",
      "year": "1949",
      "journal-title": "Philos Mag"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib15",
      "doi-asserted-by": "crossref",
      "first-page": "519",
      "DOI": "10.1016/0001-6160(53)90082-0",
      "volume": "1",
      "author": "Seeger",
      "year": "1953",
      "journal-title": "Acta Metall"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib16",
      "doi-asserted-by": "crossref",
      "first-page": "373",
      "DOI": "10.1017/S0956792598003489",
      "volume": "9",
      "author": "Movchan",
      "year": "1998",
      "journal-title": "Eur J Appl Math"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib17",
      "doi-asserted-by": "crossref",
      "first-page": "2629",
      "DOI": "10.1080/01418619908212014",
      "volume": "79",
      "author": "Schoeck",
      "year": "1999",
      "journal-title": "Philos Mag A"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib18",
      "doi-asserted-by": "crossref",
      "first-page": "1845",
      "DOI": "10.1016/S0022-5096(98)00057-X",
      "volume": "46",
      "author": "Miller",
      "year": "1998",
      "journal-title": "J Mech Phys Solid"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib19",
      "doi-asserted-by": "crossref",
      "first-page": "903",
      "DOI": "10.1016/S0022-5096(96)00125-1",
      "volume": "45",
      "author": "Ngan",
      "year": "1997",
      "journal-title": "J Mech Phys Solid"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib20",
      "doi-asserted-by": "crossref",
      "first-page": "3539",
      "DOI": "10.1080/14786430310001634630",
      "volume": "83",
      "author": "Lu",
      "year": "2003",
      "journal-title": "Philos Mag"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib21",
      "doi-asserted-by": "crossref",
      "first-page": "605",
      "DOI": "10.1080/09500830050134318",
      "volume": "80",
      "author": "Xu",
      "year": "2000",
      "journal-title": "Philos Mag Lett"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib22",
      "doi-asserted-by": "crossref",
      "first-page": "3675",
      "DOI": "10.1002/nme.1620362107",
      "volume": "36",
      "author": "Xu",
      "year": "1993",
      "journal-title": "Int J Numer Method Eng"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib23",
      "doi-asserted-by": "crossref",
      "first-page": "403",
      "DOI": "10.1115/1.1305276",
      "volume": "67",
      "author": "Xu",
      "year": "2000",
      "journal-title": "J Appl Mech"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib24",
      "doi-asserted-by": "crossref",
      "first-page": "177",
      "DOI": "10.1080/01418618208236217",
      "volume": "46",
      "author": "Lothe",
      "year": "1982",
      "journal-title": "Philos Mag A"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib25",
      "doi-asserted-by": "crossref",
      "first-page": "239",
      "DOI": "10.1016/S0022-5096(05)80012-2",
      "volume": "40",
      "author": "Rice",
      "year": "1992",
      "journal-title": "J Mech Phys Solid"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib26",
      "doi-asserted-by": "crossref",
      "first-page": "569",
      "DOI": "10.1080/0141861021000049256",
      "volume": "83",
      "author": "Movchan",
      "year": "2003",
      "journal-title": "Philos Mag"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib27",
      "doi-asserted-by": "crossref",
      "first-page": "4131",
      "DOI": "10.1080/14786430701528739",
      "volume": "87",
      "author": "Banerjee",
      "year": "2007",
      "journal-title": "Philos Mag"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib28",
      "doi-asserted-by": "crossref",
      "first-page": "1847",
      "DOI": "10.1016/S1359-6454(01)00075-1",
      "volume": "49",
      "author": "Wang",
      "year": "2001",
      "journal-title": "Acta Mater"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib29",
      "doi-asserted-by": "crossref",
      "first-page": "2597",
      "DOI": "10.1016/S0022-5096(02)00037-6",
      "volume": "50",
      "author": "Koslowski",
      "year": "2002",
      "journal-title": "J Mech Phys Solid"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib30",
      "doi-asserted-by": "crossref",
      "first-page": "683",
      "DOI": "10.1016/j.actamat.2003.10.014",
      "volume": "52",
      "author": "Shen",
      "year": "2004",
      "journal-title": "Acta Mater"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib31",
      "doi-asserted-by": "crossref",
      "first-page": "153",
      "DOI": "10.1016/0001-6160(53)90054-6",
      "volume": "1",
      "author": "Nye",
      "year": "1953",
      "journal-title": "Acta Metall"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib32",
      "doi-asserted-by": "crossref",
      "first-page": "504",
      "DOI": "10.1007/BF01337948",
      "volume": "151",
      "author": "Kr\u00f6ner",
      "year": "1958",
      "journal-title": "Z Phys"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib33",
      "series-title": "Micromechanics of defects in solids",
      "author": "Mura",
      "year": "1987"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib34",
      "unstructured": "Ming PB, Xiang Y, Yang Z, E W., in preparation."
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib35",
      "doi-asserted-by": "crossref",
      "first-page": "675",
      "DOI": "10.1103/PhysRevLett.47.675",
      "volume": "47",
      "author": "Rose",
      "year": "1981",
      "journal-title": "Phys Rev Lett"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib36",
      "doi-asserted-by": "crossref",
      "first-page": "289",
      "DOI": "10.1016/0022-5096(90)90001-K",
      "volume": "38",
      "author": "Needleman",
      "year": "1990",
      "journal-title": "J Mech Phys Solid"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib37",
      "series-title": "Modeling the deformation of crystalline solids",
      "first-page": "457",
      "author": "Beltz",
      "year": "1991"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib38",
      "doi-asserted-by": "crossref",
      "first-page": "1927",
      "DOI": "10.1016/0956-716X(91)90330-4",
      "volume": "25",
      "author": "Bozzolo",
      "year": "1991",
      "journal-title": "Scripta Metall"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib39",
      "series-title": "Foundations of solid mechanics",
      "author": "Fung",
      "year": "1965"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib40",
      "doi-asserted-by": "crossref",
      "first-page": "103",
      "DOI": "10.1088/0965-0393/8/2/302",
      "volume": "8",
      "author": "Zimmerman",
      "year": "2000",
      "journal-title": "Modell Simul Mater Sci Eng"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib41",
      "doi-asserted-by": "crossref",
      "first-page": "1365",
      "DOI": "10.1080/14786437108217418",
      "volume": "24",
      "author": "Stobbs",
      "year": "1971",
      "journal-title": "Philos Mag"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib42",
      "doi-asserted-by": "crossref",
      "first-page": "111",
      "DOI": "10.1080/01418619108204596",
      "volume": "63",
      "author": "Schoeck",
      "year": "1991",
      "journal-title": "Philos Mag A"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib43",
      "doi-asserted-by": "crossref",
      "first-page": "415",
      "DOI": "10.1080/01418619508239933",
      "volume": "72",
      "author": "Xu",
      "year": "1995",
      "journal-title": "Philos Mag A"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib44",
      "doi-asserted-by": "crossref",
      "first-page": "173",
      "DOI": "10.1146/annurev.matsci.29.1.173",
      "volume": "29",
      "author": "Gao",
      "year": "1999",
      "journal-title": "Annu Rev Mater Sci"
    },
    {
      "key": "10.1016/j.actamat.2007.11.033_bib45",
      "doi-asserted-by": "crossref",
      "first-page": "1371",
      "DOI": "10.1016/S0022-5096(03)00067-X",
      "volume": "51",
      "author": "Xu",
      "year": "2001",
      "journal-title": "J Mech Phys Solid"
    }
  ],
  "container-title": "Acta Materialia",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://api.elsevier.com/content/article/PII:S1359645407008087?httpAccept=text/xml",
      "content-type": "text/xml",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://api.elsevier.com/content/article/PII:S1359645407008087?httpAccept=text/plain",
      "content-type": "text/plain",
      "content-version": "vor",
      "intended-application": "text-mining"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2019,
        1,
        1
      ]
    ],
    "date-time": "2019-01-01T12:59:32Z",
    "timestamp": 1546347572000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://linkinghub.elsevier.com/retrieve/pii/S1359645407008087"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2008,
        4
      ]
    ]
  },
  "references-count": 45,
  "journal-issue": {
    "issue": "7",
    "published-print": {
      "date-parts": [
        [
          2008,
          4
        ]
      ]
    }
  },
  "alternative-id": [
    "S1359645407008087"
  ],
  "URL": "http://dx.doi.org/10.1016/j.actamat.2007.11.033",
  "relation": {},
  "ISSN": [
    "1359-6454"
  ],
  "subject": [],
  "container-title-short": "Acta Materialia",
  "published": {
    "date-parts": [
      [
        2008,
        4
      ]
    ]
  }
}