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