{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T00:17:23Z","timestamp":1743121043869,"version":"3.40.3"},"publisher-location":"Cham","reference-count":19,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319063997"},{"type":"electronic","value":"9783319064000"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-319-06400-0_5","type":"book-chapter","created":{"date-parts":[[2014,5,14]],"date-time":"2014-05-14T07:04:22Z","timestamp":1400051062000},"page":"153-219","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Solid Mechanics Problems"],"prefix":"10.1007","author":[{"given":"Jorge","family":"Belinha","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,5,15]]},"reference":[{"key":"5_CR1","volume-title":"Finite element procedures","author":"KJ Bathe","year":"1996","unstructured":"Bathe KJ (1996) Finite element procedures. Prentice-Hall, Englewood Cliffs"},{"issue":"8","key":"5_CR2","doi-asserted-by":"publisher","first-page":"911","DOI":"10.1108\/02644400910996835","volume":"26","author":"LMJS Dinis","year":"2009","unstructured":"Dinis LMJS, Jorge RMN, Belinha J (2009) The natural neighbour radial point interpolation method: dynamic applications. Eng Comput 26(8):911\u2013949","journal-title":"Eng Comput"},{"doi-asserted-by":"crossref","unstructured":"Dinis LMJS, Jorge RMN and Belinha J (2011a) The dynamic analysis of thin structures using a radial interpolator meshless method. In: Vasques CMA, Dias Rodrigues J (eds) Vibration and structural acoustics analysis. Springer, Netherlands, pp 1\u201320","key":"5_CR3","DOI":"10.1007\/978-94-007-1703-9_1"},{"issue":"19\u201320","key":"5_CR4","doi-asserted-by":"publisher","first-page":"1771","DOI":"10.1016\/j.compstruc.2010.10.015","volume":"89","author":"LMJS Dinis","year":"2011","unstructured":"Dinis LMJS, Jorge RMN, Belinha J (2011) Static and dynamic analysis of laminated plates based on an unconstrained third order theory and using a radial point interpolator meshless method. Comput Struct 89(19\u201320):1771\u20131784","journal-title":"Comput Struct"},{"issue":"1","key":"5_CR5","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/j.tws.2010.09.023","volume":"49","author":"LMJS Dinis","year":"2011","unstructured":"Dinis LMJS, Jorge RMN, Belinha J (2011) A natural neighbour meshless method with a 3D shell-like approach in the dynamic analysis of thin 3D structures. Thin-Walled Struct. 49(1):185\u2013196","journal-title":"Thin-Walled Struct."},{"key":"5_CR6","first-page":"175","volume-title":"Progress on meshless methods","author":"LMJS Dinis","year":"2008","unstructured":"Dinis LMJS, Jorge RMN, Belinha J (2008) The radial natural neighbour interpolators extended to elastoplasticity. In: Ferreira AJM, Kansa EJ, Fasshauer GE, Leitao VMA (eds) Progress on meshless methods. Springer, Netherlands, pp 175\u2013198"},{"issue":"1","key":"5_CR7","first-page":"1","volume":"44","author":"LMJS Dinis","year":"2009","unstructured":"Dinis LMJS, Jorge RMN, Belinha J (2009) Large deformation applications with the radial natural neighbours interpolators. Comput Model Eng Sci 44(1):1\u201334","journal-title":"Comput Model Eng Sci"},{"key":"5_CR8","volume-title":"The Mathematical Foundations of the Finite Element Method with Applications to Partial Deferential Equations","author":"BM Irons","year":"1972","unstructured":"Irons BM, Razzaque A (1972) Experience with the patch test for convergence of finite elements. In: Aziz AK (ed) The Mathematical Foundations of the Finite Element Method with Applications to Partial Deferential Equations. Academic Press, New York"},{"key":"5_CR9","doi-asserted-by":"publisher","first-page":"1623","DOI":"10.1002\/nme.489","volume":"54","author":"JG Wang","year":"2002","unstructured":"Wang JG, Liu GR (2002) A point interpolation meshless method based on radial basis functions. Int J Numer Meth Eng 54:1623\u20131648","journal-title":"Int J Numer Meth Eng"},{"key":"5_CR10","doi-asserted-by":"publisher","first-page":"2611","DOI":"10.1016\/S0045-7825(01)00419-4","volume":"191","author":"JG Wang","year":"2002","unstructured":"Wang JG, Liu GR (2002) On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Comput Methods Appl Mech Eng 191:2611\u20132630","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"8\u20139","key":"5_CR11","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/0898-1221(90)90270-T","volume":"19","author":"EJ Kansa","year":"1990","unstructured":"Kansa EJ (1990) Multiquadrics\u2014a scattered data approximation scheme with applications to computational fluid-dynamics\u2014I surface approximations and partial derivative estimates. Comput Math Appl 19(8\u20139):127\u2013145","journal-title":"Comput Math Appl"},{"issue":"8\u20139","key":"5_CR12","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/0898-1221(90)90271-K","volume":"19","author":"EJ Kansa","year":"1990","unstructured":"Kansa EJ (1990) Multiquadrics\u2014A scattered data approximation scheme with applications to computational fluid-dynamics\u2014II solutions to parabolic, hyperbolic and elliptic partial differential equations. Comput Math Appl 19(8\u20139):147\u2013161","journal-title":"Comput Math Appl"},{"issue":"13\u201316","key":"5_CR13","doi-asserted-by":"publisher","first-page":"2009","DOI":"10.1016\/j.cma.2006.11.002","volume":"196","author":"LMJS Dinis","year":"2007","unstructured":"Dinis LMJS, Jorge RMN, Belinha J (2007) Analysis of 3D solids using the natural neighbour radial point interpolation method. Comput Methods Appl Mech Eng 196(13\u201316):2009\u20132028","journal-title":"Comput Methods Appl Mech Eng"},{"key":"5_CR14","volume-title":"The Finite Element Method","author":"OC Zienkiewicz","year":"1994","unstructured":"Zienkiewicz OC, Taylor RL (1994) The Finite Element Method, 4th edn. McGraw-Hill, London","edition":"4"},{"key":"5_CR15","volume-title":"Theory of elasticity","author":"S Timoshenko","year":"1970","unstructured":"Timoshenko S, Goodier JN (1970) Theory of elasticity, 3rd edn. McGraw Hill, Singapore","edition":"3"},{"key":"5_CR16","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1007\/s004660100237","volume":"27","author":"YT Gu","year":"2001","unstructured":"Gu YT, Liu GR (2001) A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Comput Mech 27:188\u2013198","journal-title":"Comput Mech"},{"key":"5_CR17","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1002\/(SICI)1097-0207(19990930)46:3<341::AID-NME678>3.0.CO;2-T","volume":"46","author":"T Nagashima","year":"1999","unstructured":"Nagashima T (1999) Node-by-node meshless approach and its application to structural analyses. Int J Numer Meth Eng 46:341\u2013385","journal-title":"Int J Numer Meth Eng"},{"issue":"1","key":"5_CR18","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1006\/jsvi.2000.3626","volume":"246","author":"YT Gu","year":"2001","unstructured":"Gu YT, Liu GR (2001) A local radial point interpolation method (LRPIM) for free vibration analyses of 2-D solids. J Sound Vib 246(1):29\u201346","journal-title":"J Sound Vib"},{"key":"5_CR19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48860-3","volume-title":"Boundary element techniques","author":"CA Brebbia","year":"1984","unstructured":"Brebbia CA, Telles JC, Wrobel LC (1984) Boundary element techniques. Springer, Berlin"}],"container-title":["Lecture Notes in Computational Vision and Biomechanics","Meshless Methods in Biomechanics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-06400-0_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,18]],"date-time":"2023-01-18T18:47:12Z","timestamp":1674067632000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-06400-0_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783319063997","9783319064000"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-06400-0_5","relation":{},"ISSN":["2212-9391","2212-9413"],"issn-type":[{"type":"print","value":"2212-9391"},{"type":"electronic","value":"2212-9413"}],"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"15 May 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}