{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,22]],"date-time":"2026-02-22T05:10:07Z","timestamp":1771737007257,"version":"3.50.1"},"reference-count":21,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[2003,11,1]],"date-time":"2003-11-01T00:00:00Z","timestamp":1067644800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2003,11]]},"DOI":"10.1016\/s0096-3003(02)00383-1","type":"journal-article","created":{"date-parts":[[2003,6,2]],"date-time":"2003-06-02T19:03:18Z","timestamp":1054580598000},"page":"543-549","source":"Crossref","is-referenced-by-count":11,"title":["A Lagrangian for von Karman equations of large deflection problem of thin circular plate"],"prefix":"10.1016","volume":"143","author":[{"given":"Ji-Huan","family":"He","sequence":"first","affiliation":[]}],"member":"78","reference":[{"issue":"4","key":"10.1016\/S0096-3003(02)00383-1_BIB1","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1016\/S0020-7462(98)00048-1","article-title":"Variational iteration method: a kind of nonlinear analytical technique: some examples","volume":"34","author":"He","year":"1999","journal-title":"Int. J. Nonlinear Mech."},{"key":"10.1016\/S0096-3003(02)00383-1_BIB2","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/S0045-7825(99)00018-3","article-title":"Homotopy perturbation technique","volume":"178","author":"He","year":"1999","journal-title":"Comput. Meth. Appl. Mech. Eng."},{"key":"10.1016\/S0096-3003(02)00383-1_BIB3","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1023\/A:1010349221054","article-title":"A modified perturbation technique depending upon an artificial parameter","volume":"35","author":"He","year":"2000","journal-title":"Meccanica"},{"issue":"5","key":"10.1016\/S0096-3003(02)00383-1_BIB4","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1177\/107754630100700501","article-title":"Iteration perturbation method for strongly nonlinear oscillations","volume":"7","author":"He","year":"2001","journal-title":"J. Vib. Control"},{"issue":"1","key":"10.1016\/S0096-3003(02)00383-1_BIB5","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1515\/IJNSNS.2000.1.1.51","article-title":"A review on some new recently developed nonlinear analytical techniques","volume":"1","author":"He","year":"2000","journal-title":"Int. J. Nonlinear Sci. Numer. Simul."},{"issue":"1","key":"10.1016\/S0096-3003(02)00383-1_BIB6","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1515\/TJJ.1997.14.1.23","article-title":"Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics","volume":"14","author":"He","year":"1997","journal-title":"Int. J. Turbo Jet-Engines"},{"issue":"7","key":"10.1016\/S0096-3003(02)00383-1_BIB7","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1007\/BF02428378","article-title":"Semi-inverse method and generalized variational principles with multi-variables in elasticity","volume":"21","author":"He","year":"2000","journal-title":"Appl. Math. Mech."},{"key":"10.1016\/S0096-3003(02)00383-1_BIB8","first-page":"627","article-title":"Bending of circular plates with large deflection","volume":"56","author":"Way","year":"1934","journal-title":"ASME J. Appl. Mech."},{"key":"10.1016\/S0096-3003(02)00383-1_BIB9","unstructured":"S. Levy, Bending of rectangular plate with large deflections, NACA Report, No. 737, 1942"},{"issue":"2","key":"10.1016\/S0096-3003(02)00383-1_BIB10","first-page":"102","article-title":"Large deflection of a circular clamped plate under uniform pressure","volume":"7","author":"Chien","year":"1947","journal-title":"Chin. J. Phys."},{"issue":"1","key":"10.1016\/S0096-3003(02)00383-1_BIB11","first-page":"71","article-title":"Asymptotic behavior of a thin clamped circular plate under uniform normal pressure at very large deflection","volume":"5","author":"Chien","year":"1948","journal-title":"The Science Reports of National Tsinghua University"},{"issue":"1","key":"10.1016\/S0096-3003(02)00383-1_BIB12","first-page":"25","article-title":"The solution of large deflection problem of thin circular plate by the method of composite expansion","volume":"6","author":"Chien","year":"1985","journal-title":"Appl. Math. Mech."},{"key":"10.1016\/S0096-3003(02)00383-1_BIB13","series-title":"Unification of Finite Element Methods","first-page":"275","article-title":"Recent advances in the applications of variational methods to nonlinear problems","author":"Noor","year":"1984"},{"issue":"2","key":"10.1016\/S0096-3003(02)00383-1_BIB14","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1115\/1.1303826","article-title":"Generalized Hellinger\u2013Reissner principle","volume":"67","author":"He","year":"2000","journal-title":"ASME J. Appl. Mech."},{"issue":"2","key":"10.1016\/S0096-3003(02)00383-1_BIB15","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1515\/IJNSNS.2000.1.2.133","article-title":"A classical variational model for micropolar elastodynamics","volume":"1","author":"He","year":"2000","journal-title":"Int. J. Nonlinear Sci. Numer. Simul."},{"issue":"3","key":"10.1016\/S0096-3003(02)00383-1_BIB16","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/S0020-7225(00)00035-5","article-title":"Coupled variational principles of piezoelectricity","volume":"39","author":"He","year":"2000","journal-title":"Int. J. Eng. Sci."},{"issue":"4","key":"10.1016\/S0096-3003(02)00383-1_BIB17","doi-asserted-by":"crossref","first-page":"666","DOI":"10.1115\/1.1352067","article-title":"Hamilton principle and generalized variational principles of linear thermopiezoelectricity","volume":"68","author":"He","year":"2001","journal-title":"ASME J. Appl. Mech."},{"issue":"1\u20134","key":"10.1016\/S0096-3003(02)00383-1_BIB18","first-page":"247","article-title":"Comments on derivation and transformation of variational principles with emphasis on inverse and hybrid problems in fluid mechanics: a systematic approach","volume":"149","author":"He","year":"2001","journal-title":"Acta Mech."},{"issue":"1","key":"10.1016\/S0096-3003(02)00383-1_BIB19","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1108\/00022660010308633","article-title":"Inverse problems of determining the unknown shape of oscillating airfoils in compressible 2D unsteady flow via variational technique","volume":"72","author":"He","year":"2000","journal-title":"Aircraft Eng. Aerospace Technol."},{"key":"10.1016\/S0096-3003(02)00383-1_BIB20","series-title":"Theory of Plates and Shells","first-page":"333","author":"Timoshenko","year":"1940"},{"key":"10.1016\/S0096-3003(02)00383-1_BIB21","unstructured":"A. McPherson, W. Ramberg, S. Levy, Normal pressure tests of circular plate with clamped edges, NACA Report, No. 744, 1942"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300302003831?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300302003831?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,20]],"date-time":"2019-03-20T21:26:42Z","timestamp":1553117202000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300302003831"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,11]]},"references-count":21,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2003,11]]}},"alternative-id":["S0096300302003831"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(02)00383-1","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2003,11]]}}}