简介：Effectsofdepositionlayerpositionandnumber/densityonlocalbendingofathinfilmaresystematicallyinvestigated.Becausethedepositionlayerinteractswiththethinfilmattheinterfaceandthereisanoffsetbetweenthethinfilmneutralsurfaceandtheinterface,thedepositionlayergeneratesnotonlyaxialstressbutalsobendingmoment.Thebendingmomentinducesaninstantout-of-planedeflectionofthethinfilm,whichmayormaynotcausethesocalledlocalbending.Thedepositionlayerismodeledasalocalstressor,whoselocationanddensityaredemonstratedtobevitaltotheoccurrenceoflocalbending.Thethinfilmrestsonaviscouslayer,whichisgovernedbytheNavier-Stokesequationandbehaveslikeanelasticfoundationtoexerttransverseforcesonthethinfilm.Theunknownfeatureoftheaxialconstraintforcemakesthegoverningequationhighlynonlinearevenforthesmalldeflectioncase.Theconstraintforceandfilmtransversedeflectionaresolvediterativelythroughthegoverningequationandthedisplacementconstraintequationofimmovableedges.Thisresearchshowsthatinsomespecialcases,thedepositiondensityincreasedoesnotnecessarilyreducethelocalbending.Bycomparingthethinfilmdeflectionsofdifferentdepositionnumbersandpositions,wealsopresenttheguidelineofstrengtheningorsuppressingthelocalbending.

简介：Anon-localcontinuummodelforstrain-softeningsimplytakingplasticstrainordamagevari-ableasanon-localvariableisderivedbyusingtheadditivedecompositionprincipleoffinitedeformationgra-dient.Atthesametime,variationalequations,theirfiniteelementformulationsandnumericalconvolutedintegrationalgorithmofthemodelincurrentconfigurationusuallycalledco-movingcoordinatesystemaregiven.Stabilityandconvergenceofthemodelareprovenbymeansoftheweakconvergencetheoremofgen-eralfunctionandtheconvolutedintegrationtheory.Mathematicalandphysicalpropertiesofthecharacteris-ticsizeformaterialorstructureareaccountedforwithinthecontextofastatisticalweightedorkernelfunc-tion,andwayisinvestigated.Numericalsimulationshowsthatthismodelissuitablefortoanalyzingdefor-mationlocalizationproblems.

简介：最近的实验[1]在superelastic的导致压力的阶段转变揭示了宏观的领域模式的许多新现象多晶的NiTi试管在张力的装载期间。新现象与一个螺旋状的领域，到柱体的从螺旋的领域拓扑学转变，域前面分叉和领域模式的负担路径依赖的形成包括变丑不稳定性。在这份报纸，我们与nonconvex种类精力作为有弹性的连续统为多晶体建模[2]并且采用非局部的种类坡度精力说明散开的领域前面的精力。我们在由一个非局部的有限元素方法的张力的装载下面在试管模仿平衡领域模式和他们的进化(女性)。域模式的观察负担路径依赖和拓扑学转变由于试管系统的热力学的metastability，这被揭示。计算也证明试管墙厚度在领域模式上有重要效果：与固定材料性质和界面的精力密度，大试管墙厚度导致一个长、细长的螺旋状的领域并且圆柱域的前面的严重分叉。

简介：Agroupoftheoreticalmodelshasbeendevelopedforanalyzingtransientdynamicre-sponsetofilledmetalliccylindricalshellsimpactedbyflat-nosedmissilesatnormalobliquityontheba-sisoftheanalogymodelingmethodofbeam-onfoundation.Itcanbeusedforsolvingtheglobaldefor-mationandthelocalfailureofcylindricalshellsintheimpactprocess.Theballisticlimitspeedandim-pactresponsehistoryhavebeencalculatedbythisgroupoftheoreticalmodels,andtheinnerpressureeffectontheballisticlimitspeedandsomeparametersarediscussedatlength.Thequantitativerela-tionshipbetweeninternalpressureandtheballisticlimitspeedandsomesignificantconclusionshavebeenobtained,whicharebasicallyidenticalwithpreviousexperimentalresults.

简介：这研究的目的是评估本地人爬象粗糙的颗粒的热那样的各种各样的微观结构的损坏影响了地区(CGHAZ)，精细的热影响了地区(FGHAZ)，intercritical热影响了作为类型IV区域知道的地区(ICHAZ)，焊接金属，并且由小穿孔机(SP)基于P92(9Cr-2W)钢焊接的金属爬在600掳C的测试。另外，焊接分开决定最弱的本地人，微观结构在上的效果爬在P92钢的焊接的破裂行为被学习。从试验性的结果，FGHAZ和类型IV区域结果是P92焊接的很弱的本地部分。特别，TYPEIV区域显示出最大的排水量率并且与许多过了最短的破裂生活爬洞广泛地在大多数这个区域传播了。

简介：Themechanismsofinterracialdebondingofparticlereinforcedtheologicalmaterialsarestudied.Basedonanenergycriterion,asimpleformulaoflocalcriticalstressforinterfacialdebondingisderivedandexpressedintermsoftheinterfacialenergy.Theparticlesizeeffectoninterfacedebond-ingcanthenbeanalyzedeasilyowingtothefactthatcriticalstressisinverselyproportionaltothesquarerootofparticleradius.BytakingPP/CaCO3systemasanexample,thepresentenergycriterioniscomparedwiththemechanicaldebondingcriterion,anditisfoundthatundertheconditionthatbondstrengthisequaltomatrixstrengthandparticleradiusnotover0.2μm,themechanicaldebondingcri-terioncanbeautomaticallysatisfiediftheenergycriterionissatisfied.Arelationbetweencriticaltimeandinterfaceenergyiscalculatedbyusingtheenergycriterion.Theinfluencesoftheparticlevolumefractionandtheparliclesize,theloadingrateandtherelaxationtimeofthematrixonthecriticaltimeofinterfacialdebondingarealsodiscussed.

简介：Basedontheporousmediatheoryandbytakingintoaccounttheeffectsoftheporefluidviscidity,energyexchangesduetotheadditionalthermalconductionandconvectionbetweensolidandfluidphases,amathematicalmodelforthedynamic-thermo-hydro-mechanicalcouplingofanon-localthermalequilibriumfluid-saturatedporousmedium,inwhichthetwoconstituentsareassumedtobeincompressibleandimmiscible,isestablishedundertheassumptionofsmalldeformationofthesolidphase,smallvelocityofthefluidphaseandsmalltemperaturechangesofthetwoconstituents.Themathematicalmodelofalocalthermalequilibriumfluid-saturatedporousmediumcanbeobtaineddirectlyfromtheaboveone.SeveralGurtin-typevariationalprinciples,especiallyHu-Washizutypevariationalprinciples,fortheinitialboundaryvalueproblemsofdynamicandquasi-staticresponsesarepresented.Itshouldbepointedoutthatthesevariationalprinciplescanbedegeneratedeasilyintothecaseofisothermalincompressiblefluid-saturatedelasticporousmedia,whichhavebeendiscussedpreviously.

简介：Inthispaper,thescatteringofharmonicantiplaneshearwavesbytwofinitecracksisstudiedusingthenon-localtheory.TheFouriertransformisappliedandamixedboundaryvalueprob-lemisformulated.Thenasetoftripleintegralequationsissolvedusinganewmethod,namelySchmidt’smethod,ThismethodismoreexactandmorereasonablethanEringen’sforsolvingthiskindofproblem.Theresultofthestressnearthecracktipwasobtained.Contrarytotheclassicalelas-ticitysolution,itisfoundthatnostresssingularityispresentatthecracktip,whichcanexplaintheproblemofmacroscopicandmicroscopicmechanics.

简介：Ameshlessradialbasisfunction(RBF)collocationmethodbasedontheEringennonlocalelasticitytheoryisdevelopedtocalculatethebandstructuresofternaryandquaternarynanoscalemulti-layeredphononiccrystals(PNCs)withfunctionallygraded(FG)interlayers.Detailedcalculationsareperformedforanti-planetransversewavespropagatinginsuchPNCs.TheinfluencesofFGandhomogeneousinterlayers,componentnumber,nonlocalinterfaceimperfectionsandnanoscalesizeoncut-offfrequencyandbandstructuresareinvestigatedindetail.Numericalresultsshowthatthesefactorshavesignificanteffectsonbandstructuresatthemacroscopicandmicroscopicscales.