简介：Anewcomputationschemeproposedtotacklecommensurateproblemsisdevelopedbymodifyingthesemi-analyticapproachforminimizingcomputationalcomplexity.Usingtheproposedscheme,thelimitstateequations,usuallyreferredtoasthefailuresurface,areobtainedfromtransformationofanintervalvariabletoanormalizedone.Inordertominimizethecomputationalcost,twoalgorithmsforoptimizingthecalculationstepshavebeenproposed.Themonotonicityoftheobjectivefunctioncanbedeterminedfromnarrowingthescopeofintervalvariablesinnormalizedinfinitespacebyincorporatingthealgorithmsintothecomputationalscheme.Twoexamplesareusedtoillustratetheoperationandcomputationalefficiencyoftheapproach.Theresultsoftheseexamplesshowthattheproposedalgorithmscangreatlyreducethecomputationcomplexitywithoutsacrificingthecomputationalaccuracy.Theadvantageoftheproposedschemecanbeevenmoreefficientforanalyzingsophisticstructures.

简介：Aradialcrackemanatingfromasemi-circularnotchisofsignificantengineeringimportance.Accuratedeterminationofkeyfracturemechanicsparametersisessentialfordamagetolerancedesignandfatiguecrackgrowthlifepredictions.Thepurposeofthispaperistoprovideanefficientandaccurateclosed-formweightfunctionapproachtothecalculationofcracksurfacedisplacementsforaradialcrackemanatingfromasemi-circularnotchinasemi-infiniteplate.Resultsarepresentedfortwoloadconditions:remoteappliedstressanduniformstresssegmentappliedtocracksurfaces.Basedonacorrectionofstressintensityfactorratio,highlyaccurateanalyticalequationsofcracksurfacedisplacementsunderthetwoloadconditionsaredevelopedbyfittingthedataobtainedwiththeweightfunctionmethod.ItisdemonstratedthattheWuCarlssonclosed-formweightfunctionsareveryefficient,accurateandeasy-to-useforcalculatingcracksurfacedisplacementsforarbitraryloadconditions.Themethodwillfacilitatefatiguecrackclosureandotherfracturemechanicsanalyseswhereaccuratecracksurfacedisplacementsarerequired.

简介：Basedontheextendedhomogeneouscapacityhighprecisionintegrationmethodandthespectrummethodofvirtualboundarywithacomplexradiusvector,anovelsemi-analyticalmethod,whichhassatisfactorycomputationeffectivenessandprecision,ispresentedforsolvingtheacousticradiationfromasubmergedinfinitenon-circularcylindricalshellstiffenedbylongitudinalribsbymeansoftheFourierintegraltransformationandstationaryphasemethod.Inthiswork,besidesthenormalinteractingforce,whichiscommonlyadoptedbysomeresearchers,theotherinteractingforcesandmomentsbetweenthelongitudinalribsandthenon-circularcylindricalshellareconsideredatthesametime.Theeffectsofthenumberandthesizeofthecross-sectionoflongitudinalribsonthecharacteristicsofacousticradiationareinvestigated.NumericalresultsshowthatthemethodproposedismoreefficientthantheexistingmixedFE-BEmethod.