{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T20:30:20Z","timestamp":1772829020027,"version":"3.50.1"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2019,12,7]],"date-time":"2019-12-07T00:00:00Z","timestamp":1575676800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,12,7]],"date-time":"2019-12-07T00:00:00Z","timestamp":1575676800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/ECI\/04625\/2019"],"award-info":[{"award-number":["UID\/ECI\/04625\/2019"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/ECI\/04625\/2019"],"award-info":[{"award-number":["UID\/ECI\/04625\/2019"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int J Fract"],"published-print":{"date-parts":[[2020,1]]},"DOI":"10.1007\/s10704-019-00397-3","type":"journal-article","created":{"date-parts":[[2019,12,7]],"date-time":"2019-12-07T13:02:29Z","timestamp":1575723749000},"page":"1-23","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Wedge and crack solutions for Mindlin\u2013Reissner plates"],"prefix":"10.1007","volume":"221","author":[{"given":"J. A.","family":"Teixeira\u00a0de\u00a0Freitas","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2009-4641","authenticated-orcid":false,"given":"C.","family":"Tiago","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,12,7]]},"reference":[{"key":"397_CR1","volume-title":"Handbook of mathematical functions with formulas, graphs, and mathematical tables","author":"M Abramowitz","year":"1964","unstructured":"Abramowitz M, Stegun I (1964) Handbook of mathematical functions with formulas, graphs, and mathematical tables. Dover Publications, New York"},{"issue":"3","key":"397_CR2","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1016\/0021-8928(67)90034-2","volume":"31","author":"GPM Cherepanov","year":"1967","unstructured":"Cherepanov GPM (1967) Crack propagation in continuous media. J Appl Math Mech 31(3):503\u2013512. https:\/\/doi.org\/10.1016\/0021-8928(67)90034-2","journal-title":"J Appl Math Mech"},{"issue":"9","key":"397_CR3","doi-asserted-by":"publisher","first-page":"2749","DOI":"10.1016\/j.jmps.2008.06.001","volume":"56","author":"N Fowkes","year":"2008","unstructured":"Fowkes N, Freitas JAT, Stacey R (2008) Crack repair using an elastic filler. J Mech Phys Solids 56(9):2749\u20132758. https:\/\/doi.org\/10.1016\/j.jmps.2008.06.001","journal-title":"J Mech Phys Solids"},{"key":"397_CR4","doi-asserted-by":"crossref","unstructured":"Freitas JAT, Ji Z-Y (1996) Hybrid-Trefftz equilibrium model for crack problems. Int J Num Methods Eng 39:569\u2013584. https:\/\/doi.org\/10.1002\/(SICI)1097-0207(19960229)39:4<569::AID-NME870>3.0.CO;2-8","DOI":"10.1002\/(SICI)1097-0207(19960229)39:4<569::AID-NME870>3.0.CO;2-8"},{"key":"397_CR5","doi-asserted-by":"crossref","unstructured":"Freitas JAT, Tiago C (2020) Hybrid-Trefftz stress elements for plate bending. Int J Numer Methods Eng. https:\/\/doi.org\/10.1002\/NME.6294","DOI":"10.1002\/nme.6294"},{"key":"397_CR6","unstructured":"Hartranft RJ, Sih GC (1969) The use of eigenfunction expansions in general solution of three-dimensional crack problem. J Math Mech 19:123\u2013138 http:\/\/www.jstor.org\/stable\/24901923"},{"key":"397_CR7","volume-title":"Variational principles of theory of elasticity with applications","author":"HC Hu","year":"1984","unstructured":"Hu HC (1984) Variational principles of theory of elasticity with applications. Science Press, Beijing"},{"key":"397_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0020-7403(03)00046-8","volume":"45","author":"CS Huang","year":"2003","unstructured":"Huang CS (2003) Stress singularities at angular corners in first-order shear deformation plate theory. Int J Mech Sci 45:1\u201320. https:\/\/doi.org\/10.1016\/S0020-7403(03)00046-8","journal-title":"Int J Mech Sci"},{"key":"397_CR9","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/BF00036341","volume":"61","author":"CY Hui","year":"1993","unstructured":"Hui CY, Zhender AT (1993) A theory for the fracture of thin plates subjected to bending and twisting moments. Int J Fract 61:211\u2013229. https:\/\/doi.org\/10.1007\/BF00036341","journal-title":"Int J Fract"},{"key":"397_CR10","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1115\/1.4011547","volume":"24","author":"GR Irwin","year":"1957","unstructured":"Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 24:361\u2013364","journal-title":"J Appl Mech"},{"key":"397_CR11","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/0045-7825(77)90052-4","volume":"12","author":"J Jirousek","year":"1977","unstructured":"Jirousek J, Leon N (1977) A powerful finite element for plate bending. Comput Methods Appl Mech Eng 12:77\u201396. https:\/\/doi.org\/10.1016\/0045-7825(77)90052-4","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"3","key":"397_CR12","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1016\/0045-7825(90)90005-7","volume":"78","author":"J Petrolito","year":"1990","unstructured":"Petrolito J (1990) Hybrid-Trefftz quadrilateral elements for thick plate analysis. Comput Methods Appl Mech Eng 78(3):331\u2013351. https:\/\/doi.org\/10.1016\/0045-7825(90)90005-7","journal-title":"Comput Methods Appl Mech Eng"},{"key":"397_CR13","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1115\/1.3601206","volume":"35","author":"JR Rice","year":"1968","unstructured":"Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35:379\u2013386. https:\/\/doi.org\/10.1115\/1.3601206","journal-title":"J Appl Mech"},{"key":"397_CR14","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1007\/s10659-010-9258-5","volume":"103","author":"A R\u00f6ssle","year":"2011","unstructured":"R\u00f6ssle A, S\u00e4ndig A-M (2011) Corner singularities and regularity results for the Reissner\/Mindlin plate model. J Elast 103:113\u2013135. https:\/\/doi.org\/10.1007\/s10659-010-9258-5","journal-title":"J Elast"},{"issue":"1","key":"397_CR15","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/BF00236482","volume":"7","author":"GC Sih","year":"1971","unstructured":"Sih GC (1971) A review of the three-dimensional stress problem for a cracked plate. Int J Fract Mech 7(1):39\u201361. https:\/\/doi.org\/10.1007\/BF00236482","journal-title":"Int J Fract Mech"},{"issue":"5","key":"397_CR16","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1115\/1.1767846","volume":"57","author":"GB Sinclair","year":"2004","unstructured":"Sinclair GB (2004) Stress singularities in classical elasticity\u2014Part II: Asymptotic identification. Appl Mech Rev 57(5):385\u2013439. https:\/\/doi.org\/10.1115\/1.1767846","journal-title":"Appl Mech Rev"},{"issue":"4","key":"397_CR17","doi-asserted-by":"publisher","first-page":"451","DOI":"10.1016\/0013-7944(86)90259-6","volume":"25","author":"HA Sosa","year":"1986","unstructured":"Sosa HA, Eischen JW (1986) Computation of stress intensity factors for plate bending via a path-independent integral. Eng Fract Mech 25(4):451\u2013462. https:\/\/doi.org\/10.1016\/0013-7944(86)90259-6","journal-title":"Eng Fract Mech"},{"key":"397_CR18","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1023\/A:1007652028645","volume":"107","author":"RKL Su","year":"2001","unstructured":"Su RKL, Leung AYT (2001) Mixed mode cracks in Reissner plates. Int J Fract 107:235\u2013257. https:\/\/doi.org\/10.1023\/A:1007652028645","journal-title":"Int J Fract"},{"key":"397_CR19","doi-asserted-by":"publisher","DOI":"10.1115\/1.801535","volume-title":"The stress analysis of cracks handbook","author":"H Tada","year":"2000","unstructured":"Tada H, Paris PC, Irwin GR (2000) The stress analysis of cracks handbook. ASME Press, New York"},{"key":"397_CR20","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1115\/1.4008919","volume":"66","author":"HM Westergaard","year":"1939","unstructured":"Westergaard HM (1939) Bearing pressures and cracks. J Appl Mech 66:49\u201353","journal-title":"J Appl Mech"}],"container-title":["International Journal of Fracture"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10704-019-00397-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10704-019-00397-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10704-019-00397-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,7]],"date-time":"2022-10-07T22:59:09Z","timestamp":1665183549000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10704-019-00397-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,7]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2020,1]]}},"alternative-id":["397"],"URL":"https:\/\/doi.org\/10.1007\/s10704-019-00397-3","relation":{},"ISSN":["0376-9429","1573-2673"],"issn-type":[{"value":"0376-9429","type":"print"},{"value":"1573-2673","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,12,7]]},"assertion":[{"value":"9 April 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 October 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 December 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}