MESHLESS ANALYSIS FOR THREE-DIMENSIONAL ELASTICITY WITH SINGULAR HYBRID BOUNDARY NODE METHOD

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摘要 Thesingularhybridboundarynodemethod(SHBNM)isproposedforsolvingthree-dimensionalproblemsinlinearelasticity.TheSHBNMrepresentsacouplingbetweenthehybriddisplacementvariationalformulationsandmovingleastsquares(MLS)approximation.Themainideaistoreducethedimensionalityoftheformerandkeepthemeshlessadvantageofthelater.Therigidmovementmethodwasemployedtosolvethehyper-singularintegrations.The'boundarylayereffect',whichisthemaindrawbackoftheoriginalHybridBNM,wasovercomebyanadaptiveintegrationscheme.Thesourcepointsofthefundamentalsolutionwerearrangeddirectlyontheboundary.Thustheuncertainscalefactortakenintheregularhybridboundarynodemethod(RHBNM)canbeavoided.Numericalexamplesforsome3Delasticproblemsweregiventoshowthecharacteristics.Thecomputationresultsobtainedbythepresentmethodareinexcellentagreementwiththeanalyticalsolution.Theparametersthatinfluencetheperformanceofthismethodwerestudiedthroughthenumericalexamples.
机构地区 不详
出版日期 2006年05月15日(中国期刊网平台首次上网日期,不代表论文的发表时间)