摘要
Thesingularhybridboundarynodemethod(SHBNM)isproposedforsolvingthree-dimensionalproblemsinlinearelasticity.TheSHBNMrepresentsacouplingbetweenthehybriddisplacementvariationalformulationsandmovingleastsquares(MLS)approximation.Themainideaistoreducethedimensionalityoftheformerandkeepthemeshlessadvantageofthelater.Therigidmovementmethodwasemployedtosolvethehyper-singularintegrations.The'boundarylayereffect',whichisthemaindrawbackoftheoriginalHybridBNM,wasovercomebyanadaptiveintegrationscheme.Thesourcepointsofthefundamentalsolutionwerearrangeddirectlyontheboundary.Thustheuncertainscalefactortakenintheregularhybridboundarynodemethod(RHBNM)canbeavoided.Numericalexamplesforsome3Delasticproblemsweregiventoshowthecharacteristics.Thecomputationresultsobtainedbythepresentmethodareinexcellentagreementwiththeanalyticalsolution.Theparametersthatinfluencetheperformanceofthismethodwerestudiedthroughthenumericalexamples.
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)