简介：Anappropriatecoupledcohesivelawforpredictingthemixedmodefailureisestablishedbycombiningnormalseparationandtangentialseparationofsurfacesinthecohesivezonemodel(CZM)andthecohesiveelementmethod.TheXu-Needlemanexponentialcohesivelawwiththefullyshearfailuremechanismisoneofthemostpopularmodels.Basedontheproposedconsistentlycoupledrule/principle,theXu-Needlemanlawwiththefullyshearfailuremechanismisprovedtobeanon-consistentlycoupledcohesivelawbyanalyzingthesurfaceseparationwork.ItisshownthattheXu-Needlemanlawisonlyvalidinthemixedmodefracturewhenthenormalseparationworkequalsthetangentialseparationwork.BasedontheconsistentlycoupledprincipleandthemodificationoftheXu-Needlemanlaw,aconsistentlycoupledcohesive(CCC)lawisgiven.ItisshownthattheproposedCCClawhasalreadyovercomethenon-consistencydefectoftheXu-Needlemanlawwithgreatpromiseinmixedmodeanalyses.

简介：Animprovedconstrained(IC)steeringlawforsinglegimbalcontrolmomentgyros(SGCMGs)withdeformedpyramidconfiguration(DPC)isproposed.Firstofall,theoriginalsystemwithfivepyramidconfiguration(FPC)whosetwoadjacentgyrosareinfailurestateisreconfiguredasadegradedsystemwithDPC.Then,thesingularangularmomentumhypersurfacesoftheoriginalandthedegradedsystemsareplottedviathesingularangularmomentumequationofSGCMGs.Basedonsingularsurfaces,thedifferencesbetweenFPCandDPCinsingularityandmomentumenvelopeareobtaineddirectly,whichprovideanimportantreferenceforsteeringlawdesignofDPC.Finally,anICsteeringlawisdesignedandappliedtoDPC.ThesimulationresultsdemonstratethattheICsteeringlawhasadvantagesinsimplicityofcalculation,avoidanceofsingularityandexactnessofoutputtorque,whichendowthedegradedsystemwithfinecontrollabilityinarestrictedworkspace.

简介：BycombiningChapman-EnskogexpansionwiththeBGKapproximationtoBaltzmannequationandNavier-Stokesequationwasobtained.AndanexpressionofDarcy'slawwasobtainedthroughtakingvariableaverageoverNavier-Stokesequationonsomerepresentativespaceinporousmedia,andfinallyanexamplewastakentoproveitsreliability.

简介：Weprovideanalyticalsolutionstotheproblemsofacircularbendingofabeaminplanestrainandthetorsionofanon-circularcross-sectionbeam,thebeamsobeyingasecond-gradientelasticitylawproposedbytheauthor,followingaprevioussuggestionofdell'Isolaetal.(2009).Themotivationwastofindbenchmarkanalyticalsolutionsthatcanservetograspthephysicalfoundationsofsecondgradientelasticitylawsforheterogeneousmaterials.TheanalyticalsolutionofthecircularbeamproblempresentstheadditionaladvantagetoestablishsomenicepropertiesontheunknownsecondgradientelasticmoduliintroducedbyEnakoutsa(2014)modelandtheclassicalelasticityconstantsforbothincompressibleandcompressibleheterogeneouselasticmaterials.Aframeworktofindtheelasticmoduliofthenewmodelisalsoproposed.

简介：Researchonparticulatecharacteristicshasbeenanimportantfrontierinphysicsandchemistryduringthepastdecades.Ithashoweverbeenmostlyfocusedongranularmaterialswithshort-rangeinteractions.Inthiswork,itwasfoundthatthepowerlawofparticlesizedistributionappliedtothelong-rangeinteractingsystemoffloatingdustinair,fromwhichwededucedthatself-organizedcriticalitymightholdforfloatingdustjustasgranularmaterialswithshort-rangeinteractions.Thisfeaturemayrevealunderlyingkineticmechanisms,importantindispersedparticlesystems.Inindustry,powerlawofsizedistributionofdispersedparticlescanbeusedtoinvestigatethechangeofdustsize,andthepowerlawparametercouldbetakenasanimportantindexfordustseparation.

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简介：一个新方法被开发因为在在同一直线上的振动点上稳定运动用限制的通报的形式主义绕三个身体问题转。关于在同一直线上的振动点轨道的Linearization与周期的系数产出一个不稳定的线性变化参数的系统。给变化方程，一条创新控制法律为振动点轨道基于典型代表赋值被介绍维护。选择理查森鈥檚的数字模拟为一条名字的轨道被进行的一条光圈轨道的第三顺序近似，和结果表明这条控制法律的有效性。关键词通报限制了三个身体问题-变化方程-振动点轨道维护-典型代表赋值工程被中国(10702003)的国家自然科学基础支持。

简介：ThroughacomparisonbetweentheexpressionsofmasterbalancelawsandtheconservationlawsderivedbyNoether'stheorem,aunifiedmasterbalancelawandsixphysicallypossiblebalanceequationsformicropolarcontinuummechanicsarenaturallydeduced.Amongthem,byextendingthewell-knownconventionalconceptofenergymomentumtensor,therathergeneralconservationlawsandbalanceequationsnamedafterenergy-momentum,energy-angularmomentumandenergy-energyareobtained.Itisclearthattheformsofthephysicalfieldquantitiesinthemasterbalancelawforthelastthreecasescouldnotbeassumeddirectlybyperceivingthroughtheintuition.Finally,someexistingresultsarereducedimmediatelyasspecialcases.

简介：InteractionbetweentwosphereswithaninterstitialfluidisessentialinDiscreteElementmodelingforsimulatingthebehaviorsof'wet'particulatematerials.InthispapertheinteractionbetweentwosphereswithaninterstitialPower-lawfluidwasapproximatelyresolvedasnormalandtangentialinteractivemodelsrespectively,forwhichthegoverningequationsweresimplifiedonthebasisofReynoldsapproximation.Theseequationswerethensolvedanalyticallytogetherwiththeboundaryconditionstoobtainthepressuredistributionsforeachindividualmodel,andeventuallysolutionsoftheviscoussqueezeforceandthetangentialviscousresistancewereobtained,whichprovideasetofsolutionsforimplementingintoDEMcodeorotherpurposes.

简介：Thesteadytwo-dimensionalmagnetohydrodynamicstagnationflowtowardsanonlinearstretchingsurfaceisstudied.Theno-slipconditiononthesolidboundaryisreplacedwithapartialslipcondition.Ascalinggrouptransformationisusedtogettheinvariants.Usingtheinvariants,athird-orderordinarydifferentialequationcorrespondingtothemomentumisobtained.Ananalyticalsolutionisobtainedinaseriesformusingahomotopyanalysismethod.Reliabilityandefficiencyofseriessolutionsareshownbythegoodagreementwithnumericalresultspresentedintheliterature.Theeffectsoftheslipparameter,themagneticfieldparameter,thevelocityratioparameter,thesuctionvelocityparameter,andthepowerlawexponentontheflowareinvestigated.Theresultsshowthatthevelocityandshearstressprofilesaregreatlyinfluencedbytheseparameters.

简介：InthisworkweproposetoreplacetheGLPDhypo-elasticitylawbyamorerigorousgeneralizedHooke’slawbasedonclassicalmaterialsymmetrycharacterizationassumptions.ThislawintroducesinadditiontothetwowellknownLame’smoduli,fiveconstitutiveconstants.AnanalyticalsolutionisderivedfortheproblemofasphericalshellsubjectedtoaxisymmetricloadingconditionstoillustratethepotentialoftheproposedgeneralizedHooke’slaw.

简介：电影动量和在加速上的薄有限幂定律液体的热运输特征上的内部加热来源的效果不稳定的水平拉长的接口被学习。不同于这块地里的很古典的工作，为改变热电导率的液体电影和概括Fouriers法律的一般表面温度分布被考虑。适当类似转变被用来与一组二点的平常的微分方程(颂诗)把强烈非线性的管理部分微分方程(PDE)变换成一个边界价值问题。在液体电影厚度和摇摆参数之间的通讯在MATLAB用BVP4C节目被导出。自我类似颂诗的数字答案用与一个Runge-Kutta重复程序和牛顿计划相结合的射击技术被获得。液体上的深奥物理参数的效果水平速度和温度分发被介绍并且讨论。

简介：Inthepresentpaper,thecompatibilityequationfortheplanestressproblemsofpower-lawmaterialsistransformedintoabiharmonicequationbyintroducingtheso-calledcomplexpseudo-stressfunction,whichmakesitpossibletosolvetheelastic-plasticplanestressproblemsofstrainhardeningmaterialsdescribedbypower-lawusingthecomplexvariablefunctionmethodlikethatinthelinearelasticitytheory.Byusingthisgeneralmethod,theclose-formedanalyticalsolutionsforthestress,strainanddisplacementcomponentsoftheplanestressproblems’ofpower-lawmaterialsisdeducedinthepaper,whichcanalsobeusedtosolvetheelasto-plasticplanestressproblemsofstrain-hardeningmaterialsotherthanthatdescribedbypower-law.Asanexample,theproblemofapower-lawmaterialinfiniteplatecontainingacircularholeunderuniaxialtensionissolvedbyusingthismethod,theresultsofwhicharecomparedwiththoseofaknownasymptoticanalyticalsolutionobtainedbytheperturbationmethod.