DOI: 10.1007/bf00250808. Variational methods for elastic crystals

Variational methods for elastic crystals

10.1007/bf00250808

Crossref journal-article

Springer Science and Business Media LLC

Archive for Rational Mechanics and Analysis (297)

Bibliography

Fonseca, I. (1987). Variational methods for elastic crystals. Archive for Rational Mechanics and Analysis, 97(3), 189â220.

Authors 1

Irene Fonseca (first)

References 17 Referenced 71

Atkin, R. J., & N. Fox, An Introduction to the Theory of Elasticity. Longman, London, 1980. / An Introduction to the Theory of Elasticity by R. J. Atkin (1980)
Ball, J. M., “Convexity conditions and existence theorems in nonlinear elasticity”, Arch. Rational Mech. Anal. 63 (1977), 337–403. (10.1007/BF00279992) / Arch. Rational Mech. Anal. by J. M. Ball (1977)
Chillingworth, D. R. J., J. E. Marsden, & Y. M. Wan, “Symmetry and bifurcation in three-dimensional elasticity, Part I”, Arch. Rational Mech. Anal. 80 (1982), 295–331. (10.1007/BF00253119) / Arch. Rational Mech. Anal. by D. R. J. Chillingworth (1982)
Ericksen, J. L., “Loading devices and stability of equilibrium”, in Nonlinear Elasticity. Academic Press, N.Y. (1973), 161–173. / Nonlinear Elasticity by J. L. Ericksen (1973)
Ericksen, J. L., “Special topics in elastostatics”, Advances in Applied Mech. 17 (1977), 189–244. (10.1016/S0065-2156(08)70221-7) / Advances in Applied Mech. by J. L. Ericksen (1977)
Ericksen, J. L., “On the symmetry of deformable crystals”, Arch. Rational Mech. Anal. 72 (1979), 1–13. (10.1007/BF00250733) / Arch. Rational Mech. Anal. by J. L. Ericksen (1979)
Ericksen, J. L., “Twinning of Crystals”, IMA Preprint Series # 95, Univ. of Minn., Minneapolis, 1984. / Twinning of Crystals / IMA Preprint Series # 95 by J. L. Ericksen (1984)
Ericksen, J. L., “Some surface defects in unstressed thermoelastic solids”, Arch. Rational Mech. Anal. 88 (1985), 337–345. (10.1007/BF00250870) / Arch. Rational Mech. Anal. by J. L. Ericksen (1985)
Fonseca, I., “Variational methods for elastic crystals”, Thesis, Univ. of Minnesota, 1985.
Grauert, H., & K. Fritzsche, Several Complex Variables. Springer-Verlag, Berlin Heidelberg New York 1976. (10.1007/978-1-4612-9874-8) / Several Complex Variables by H. Grauert (1976)
Gurtin, M. E., “Two phase deformations of elastic solids”, Arch. Rational Mech. Anal. 84 (1983), 1–29. (10.1007/BF00251547) / Arch. Rational Mech. Anal. by M. E. Gurtin (1983)
James, R. D., “Finite deformations by mechanical twinning”, Arch. Rational Mech. Anal. 77 (1981), 143–176. (10.1007/BF00250621) / Arch. Rational Mech. Anal. by R. D. James (1981)
Kinderlehrer, D., “Twinning of Crystals II”, IMA Preprint Series # 106. Univ. Minn., Minneapolis, 1984. / Twinning of Crystals II / IMA Preprint Series # 106 by D. Kinderlehrer (1984)
Pitteri, M., “Reconciliation of local and global symmetries of crystals”, J. Elasticity 14 (1984), 175–190. (10.1007/BF00041664) / J. Elasticity by M. Pitteri (1984)
Pitteri, M., “On the kinematics of mechanical twinning in crystals”, Arch. Rational Mech. Anal. 88 (1985), 25–57. (10.1007/BF00250681) / Arch. Rational Mech. Anal. by M. Pitteri (1985)
Rudin, W., Functional Analysis. McGraw-Hill, New York, 1973. / Functional Analysis by W. Rudin (1973)
Stoppelli, F., “Sul'esistenza di soluzioni delle equazioni dell'elastostatica isoterma nel caso di sollecitazione dotate di assi di equilibrio”, Richerche Mat. 6 (1957), 241–287, 7 (1958), 71–101 and 138–152. / Richerche Mat. by F. Stoppelli (1957)

Dates

Type	When
Created	20 years, 11 months ago (Sept. 26, 2004, 11:21 a.m.)
Deposited	6 years, 4 months ago (April 3, 2019, 11:56 a.m.)
Indexed	2 months, 2 weeks ago (June 11, 2025, 10:45 a.m.)
Issued	38 years ago (Sept. 1, 1987)
Published	38 years ago (Sept. 1, 1987)
Published Print	38 years ago (Sept. 1, 1987)

Funders 0

None

BibTeX

@article{Fonseca_1987, title={Variational methods for elastic crystals}, volume={97}, ISSN={1432-0673}, url={http://dx.doi.org/10.1007/bf00250808}, DOI={10.1007/bf00250808}, number={3}, journal={Archive for Rational Mechanics and Analysis}, publisher={Springer Science and Business Media LLC}, author={Fonseca, Irene}, year={1987}, month=sep, pages={189–220} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        6,
        11
      ]
    ],
    "date-time": "2025-06-11T14:45:28Z",
    "timestamp": 1749653128716
  },
  "reference-count": 17,
  "publisher": "Springer Science and Business Media LLC",
  "issue": "3",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1987,
            9,
            1
          ]
        ],
        "date-time": "1987-09-01T00:00:00Z",
        "timestamp": 557452800000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "http://www.springer.com/tdm"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1987,
        9
      ]
    ]
  },
  "DOI": "10.1007/bf00250808",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2004,
        9,
        26
      ]
    ],
    "date-time": "2004-09-26T15:21:09Z",
    "timestamp": 1096212069000
  },
  "page": "189-220",
  "source": "Crossref",
  "is-referenced-by-count": 71,
  "title": "Variational methods for elastic crystals",
  "prefix": "10.1007",
  "volume": "97",
  "author": [
    {
      "given": "Irene",
      "family": "Fonseca",
      "sequence": "first",
      "affiliation": []
    }
  ],
  "member": "297",
  "reference": [
    {
      "key": "BF00250808_CR1",
      "volume-title": "An Introduction to the Theory of Elasticity",
      "author": "R. J. Atkin",
      "year": "1980",
      "unstructured": "Atkin, R. J., & N. Fox, An Introduction to the Theory of Elasticity. Longman, London, 1980."
    },
    {
      "key": "BF00250808_CR2",
      "doi-asserted-by": "crossref",
      "first-page": "337",
      "DOI": "10.1007/BF00279992",
      "volume": "63",
      "author": "J. M. Ball",
      "year": "1977",
      "unstructured": "Ball, J. M., \u201cConvexity conditions and existence theorems in nonlinear elasticity\u201d, Arch. Rational Mech. Anal. 63 (1977), 337\u2013403.",
      "journal-title": "Arch. Rational Mech. Anal."
    },
    {
      "key": "BF00250808_CR3",
      "doi-asserted-by": "crossref",
      "first-page": "295",
      "DOI": "10.1007/BF00253119",
      "volume": "80",
      "author": "D. R. J. Chillingworth",
      "year": "1982",
      "unstructured": "Chillingworth, D. R. J., J. E. Marsden, & Y. M. Wan, \u201cSymmetry and bifurcation in three-dimensional elasticity, Part I\u201d, Arch. Rational Mech. Anal. 80 (1982), 295\u2013331.",
      "journal-title": "Arch. Rational Mech. Anal."
    },
    {
      "key": "BF00250808_CR4",
      "first-page": "161",
      "volume-title": "Nonlinear Elasticity",
      "author": "J. L. Ericksen",
      "year": "1973",
      "unstructured": "Ericksen, J. L., \u201cLoading devices and stability of equilibrium\u201d, in Nonlinear Elasticity. Academic Press, N.Y. (1973), 161\u2013173."
    },
    {
      "key": "BF00250808_CR5",
      "doi-asserted-by": "crossref",
      "first-page": "189",
      "DOI": "10.1016/S0065-2156(08)70221-7",
      "volume": "17",
      "author": "J. L. Ericksen",
      "year": "1977",
      "unstructured": "Ericksen, J. L., \u201cSpecial topics in elastostatics\u201d, Advances in Applied Mech. 17 (1977), 189\u2013244.",
      "journal-title": "Advances in Applied Mech."
    },
    {
      "key": "BF00250808_CR6",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1007/BF00250733",
      "volume": "72",
      "author": "J. L. Ericksen",
      "year": "1979",
      "unstructured": "Ericksen, J. L., \u201cOn the symmetry of deformable crystals\u201d, Arch. Rational Mech. Anal. 72 (1979), 1\u201313.",
      "journal-title": "Arch. Rational Mech. Anal."
    },
    {
      "key": "BF00250808_CR7",
      "series-title": "IMA Preprint Series # 95",
      "volume-title": "Twinning of Crystals",
      "author": "J. L. Ericksen",
      "year": "1984",
      "unstructured": "Ericksen, J. L., \u201cTwinning of Crystals\u201d, IMA Preprint Series # 95, Univ. of Minn., Minneapolis, 1984."
    },
    {
      "key": "BF00250808_CR8",
      "doi-asserted-by": "crossref",
      "first-page": "337",
      "DOI": "10.1007/BF00250870",
      "volume": "88",
      "author": "J. L. Ericksen",
      "year": "1985",
      "unstructured": "Ericksen, J. L., \u201cSome surface defects in unstressed thermoelastic solids\u201d, Arch. Rational Mech. Anal. 88 (1985), 337\u2013345.",
      "journal-title": "Arch. Rational Mech. Anal."
    },
    {
      "key": "BF00250808_CR9",
      "unstructured": "Fonseca, I., \u201cVariational methods for elastic crystals\u201d, Thesis, Univ. of Minnesota, 1985."
    },
    {
      "key": "BF00250808_CR10",
      "doi-asserted-by": "crossref",
      "DOI": "10.1007/978-1-4612-9874-8",
      "volume-title": "Several Complex Variables",
      "author": "H. Grauert",
      "year": "1976",
      "unstructured": "Grauert, H., & K. Fritzsche, Several Complex Variables. Springer-Verlag, Berlin Heidelberg New York 1976."
    },
    {
      "key": "BF00250808_CR11",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1007/BF00251547",
      "volume": "84",
      "author": "M. E. Gurtin",
      "year": "1983",
      "unstructured": "Gurtin, M. E., \u201cTwo phase deformations of elastic solids\u201d, Arch. Rational Mech. Anal. 84 (1983), 1\u201329.",
      "journal-title": "Arch. Rational Mech. Anal."
    },
    {
      "key": "BF00250808_CR12",
      "doi-asserted-by": "crossref",
      "first-page": "143",
      "DOI": "10.1007/BF00250621",
      "volume": "77",
      "author": "R. D. James",
      "year": "1981",
      "unstructured": "James, R. D., \u201cFinite deformations by mechanical twinning\u201d, Arch. Rational Mech. Anal. 77 (1981), 143\u2013176.",
      "journal-title": "Arch. Rational Mech. Anal."
    },
    {
      "key": "BF00250808_CR13",
      "series-title": "IMA Preprint Series # 106",
      "volume-title": "Twinning of Crystals II",
      "author": "D. Kinderlehrer",
      "year": "1984",
      "unstructured": "Kinderlehrer, D., \u201cTwinning of Crystals II\u201d, IMA Preprint Series # 106. Univ. Minn., Minneapolis, 1984."
    },
    {
      "key": "BF00250808_CR14",
      "doi-asserted-by": "crossref",
      "first-page": "175",
      "DOI": "10.1007/BF00041664",
      "volume": "14",
      "author": "M. Pitteri",
      "year": "1984",
      "unstructured": "Pitteri, M., \u201cReconciliation of local and global symmetries of crystals\u201d, J. Elasticity 14 (1984), 175\u2013190.",
      "journal-title": "J. Elasticity"
    },
    {
      "key": "BF00250808_CR15",
      "doi-asserted-by": "crossref",
      "first-page": "25",
      "DOI": "10.1007/BF00250681",
      "volume": "88",
      "author": "M. Pitteri",
      "year": "1985",
      "unstructured": "Pitteri, M., \u201cOn the kinematics of mechanical twinning in crystals\u201d, Arch. Rational Mech. Anal. 88 (1985), 25\u201357.",
      "journal-title": "Arch. Rational Mech. Anal."
    },
    {
      "key": "BF00250808_CR16",
      "volume-title": "Functional Analysis",
      "author": "W. Rudin",
      "year": "1973",
      "unstructured": "Rudin, W., Functional Analysis. McGraw-Hill, New York, 1973."
    },
    {
      "key": "BF00250808_CR17",
      "first-page": "241",
      "volume": "6",
      "author": "F. Stoppelli",
      "year": "1957",
      "unstructured": "Stoppelli, F., \u201cSul'esistenza di soluzioni delle equazioni dell'elastostatica isoterma nel caso di sollecitazione dotate di assi di equilibrio\u201d, Richerche Mat. 6 (1957), 241\u2013287, 7 (1958), 71\u2013101 and 138\u2013152.",
      "journal-title": "Richerche Mat."
    }
  ],
  "container-title": "Archive for Rational Mechanics and Analysis",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF00250808.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/article/10.1007/BF00250808/fulltext.html",
      "content-type": "text/html",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF00250808",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    },
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF00250808.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2019,
        4,
        3
      ]
    ],
    "date-time": "2019-04-03T15:56:27Z",
    "timestamp": 1554306987000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "http://link.springer.com/10.1007/BF00250808"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1987,
        9
      ]
    ]
  },
  "references-count": 17,
  "journal-issue": {
    "issue": "3",
    "published-print": {
      "date-parts": [
        [
          1987,
          9
        ]
      ]
    }
  },
  "alternative-id": [
    "BF00250808"
  ],
  "URL": "http://dx.doi.org/10.1007/BF00250808",
  "relation": {},
  "ISSN": [
    "0003-9527",
    "1432-0673"
  ],
  "subject": [],
  "container-title-short": "Arch. Rational Mech. Anal.",
  "published": {
    "date-parts": [
      [
        1987,
        9
      ]
    ]
  }
}