简介:Theproblemconsideredhereistheresponseofanon-homogeneouscompositematerialcontainingsomecrackssubjectedtodynamicloading.Itisassumedthatthecompositematerialisor-thotropicandallthematerialpropertiesdependonlyonthecoordinatey(alongthethicknessdirection).Intheanalysis,theelasticregionisdividedintoanumberofpliesofinfinitelength.Thematerialpropertiesaretakentobeconstantsforeachply.ByutilizingtheLaplacetransformandFouriertransformtechnique,thegeneralsolutionsforpliesarederived.Thesingularintegralequa-tionsoftheentireelasticregionareobtainedandsolvedbythevirtualdisplacementprinciple.Attentionisfocusedonthetime-dependentfullfieldsolutionsofstressintensityfactor(SIF)andstrainenergyreleaserate.Asanumericalillustration,thedynamicstressintensityfactorofasubstrate\functionallygradedfilmstructurewithtwocracksundersuddenlyappliedforcesoncracksfacearepresentedforvariousmaterialnon-homogeneityparameters.
简介:这篇论文在有限厚度的一次非同类的材料旅行认为一架反飞机是动人的快克。shear模量和长带的集体密度为平衡方程为有分析答案的功能的形式的一个班被考虑。这个问题借助于单个不可分的方程技术被解决。裂缝尖端附近的压力地被获得。结果被阴谋在裂缝尖端域上显示出材料非同质和快克移动速度的效果。裂缝分叉行为也被讨论。纸指出一个适当破裂标准的使用为在非同类的材料学习一个动人的裂缝的稳定性是必要的。预言不稳定的裂缝生长是否将被提高或延迟,强烈依赖于使用的破裂标准的类型。基于分析,看起来最大值“反飞机砍”在裂缝尖端附近的应力是为在非同类的材料的动人的裂缝的一个合适的失败标准。
简介:Theplaneproblemofacrackterminatingattheinterfaceofabimaterialpiezoelectric,andloadedonitsfaces,istreated.Theemphasisisplacedonhowtotransformthisproblemintoanon-homogeneousHilbertproblem.Tomakethederivationtractable,theconceptoftheaxialconju-gateisintroducedandrelatedtothecomplexconjugate.Theanglebetweenthecracklineandtheinter-facemaybearbitrary.Numericalresultsaregiventoillustratethestresssingularityatcracktip.
简介:AbstractThecarbon-carbonbondbetweentwonearest-neighboringatomsismodeledasabeamandthesingle-walledcarbonnanotubesaretreatedasthespaceframestructuresinordertoanalyzethemechanicalpropertiesofcarbonnanotubes.BasedonthetheoryofTersoffBrennerforcefield,theenergyrelationshipsbetweenthecarbon-carbonbondandthebeammodelareobtained,andthestiffnessparametersofthebeamaredetermined.Byapplyingthepresentmodel,theYoung'smoduliofthesingle-walledcarbonnanotubeswithdifferenttubediametersaredetermined.Andthepresentresultsarecomparedwithavailabledata.
简介:这份报纸在陶艺和脱臼包括阶段转变为无弹性的材料行为的纹理粗糙的原子论的模拟论述新方法论在金属的调停的粘性。方法论联合平衡方程和一个修改有限元素方法的原子论的明确的表达。与显著地自由的更少度比那些一个充分原子论的模型并且没有另外的组成的规则但是interatomic力量地,新纹理粗糙(CG)方法被显示在预言材料的非线性的组成的回答并且也复制象阶段转变那样的原子规模的现象可行(在硅和脱臼成核和移植,脱臼环的形成和在单个水晶的叠的差错带子的钻石-Sn)镍。指导在CG和现在的方法论在没有失去必要原子论的特征,当模特儿和无弹性的材料行为的模拟有效、有希望的相应完整的分子的动力学(MD)模拟表演之间的比较。潜在的应用和CG方法的限制也被讨论。
简介:Themainobjectiveofthispaperistostudythesingularnatureofthecrack-tipstressandelectricdisplacementfieldinafunctionallygradientpiezoelectricmediumhavingmaterialcoefficientswithadiscontinuousderivative.Theproblemisconsideredforthesimplestpossibleloadingandgeometry,namely,theanti-planeshearstressandelectricdisplacementin-planeoftwobondedhalfspacesinwhichthecrackisparalleltotheinterface.Itisshownthatthesquare-rootsingularityofthecrack-tipstressfieldandelectricdisplacementfieldisunaffectedbythediscontinuityinthederivativeofthematerialcoefficients.Theprob-lemissolvedforthecaseofafinitecrackandextensiveresultsaregivenforthestressintensityfactors,elec-tricdisplacementintensityfactors,andtheenergyreleaserate.
简介:ThisinvestigationpresentstheGreenfunctionsforadecagonalquasicrystallinematerialwithaparabolicboundarysubjecttoalineforceandalinedislocationbymeansofthecomplexvariablemethod.ThesurfaceGreenfunctionsaretreatedasaspecialcase,andtheexplicitexpressionsofdisplacementsandhoopstressattheparabolicboundaryarealsogiven.Finally,thestressesanddisplacementsinducedbyaphononlineforceactingattheoriginofthelowerhalf-spacearepresented.
简介:Therelationshipbetweenthecriticalbucklingloadsoffunctionallygradedmaterial(FGM)Levinsonbeams(LBs)andthoseofthecorrespondinghomogeneousEuler-Bernoullibeams(HEBBs)isinvestigated.Propertiesofthebeamareassumedtovarycontinuouslyinthedepthdirection.ThegoverningequationsoftheFGMbeamarederivedbasedontheLevinsonbeamtheory,inwhichaquadraticvariationofthetransverseshearstrainthroughthedepthisincluded.Byeliminatingtheaxialdisplacementaswellastherotationalangleinthegoverningequations,anordinarydifferentialequationintermsofthedeflectionoftheFGMLBsisderived,theformofwhichisthesameasthatofHEBBsexceptforthedefinitionoftheloadparameter.Bysolvingtheeigenvalueproblemofordinarydifferentialequationsunderdifferentboundaryconditionsclamped(C),simply-supported(S),roller(R)andfree(F)edgescombined,auniformanalyticalformulationofbucklingloadsofFGMLBswithS-S,C-C,C-F,C-RandS-RedgesispresentedforthoseofHEBBswiththesameboundaryconditions.FortheC-Sbeamtheabove-mentionedequationdoesnothold.Instead,atranscendentalequationisderivedtofindthecriticalbucklingloadfortheFGMLBwhichissimilartothatforHEBBwiththesameends.ThesignificanceofthisworkliesinthatthesolutionofthecriticalbucklingloadofaFGMLBcanbereducedtothatoftheHEBBandcalculationofthreeconstantswhosevaluesonlydependuponthethroughthe-depthgradientofthematerialpropertiesandthegeometryofthebeam.So,ahomogeneousandclassicalexpressionforthebucklingsolutionofFGMLBsisaccomplished.
简介:elastoplastic有材料不同类的一根弄弯的横梁的纯弯曲问题基于Tresca的收益标准和它的联系流动规则被调查。假定材料是有弹性地各向同性的,理想地有弹性塑料并且它的有弹性的模量和收益限制根据指数的功能放射状地变化。在州、部分塑料的两个完全有弹性的压力的压力和光线的排水量的靠近形式的答案强调状态被介绍。数字例子表明一根弄弯的横梁弯曲的elastoplastic的不同特征不同类的材料创作了。由于材料的不同类,弄弯的横梁的适用的能力能极大地被改进,起始的收益模式能也被统治。这里介绍的靠近形式的答案能用作评估数字答案的基准结果。
简介:Thispaperpresentsanumericalsolutiontomodelmultiplecracksinafiniteplateofanelasticisotropicmaterial.Boththeboundariesandthecracksaremodeledbydistributeddislocations.ThismethodresultsinasystemofsingularintegralequationswithCauchykernelswhichcanbesolvedbyGauss-Chebyshevquadraturemethod.Fourexamplesareprovidedtoassessthecapabilityofthismethod.
简介:Softmaterialisbecomingincreasinglyimportanttomanyindustries,whichleadstothedemandforabetterunderstandingofitsmechanicalpropertiesunderlargedeformation.Inthispaper,atechniqueofintegratingthedigitalmoirémethodandembedded-gratingapproachispresentedforinvestigatingmechanicalbehaviorsofavulcanizedsiliconerubberincontactwithawedge-shapedindenter.Twodistinctdeformationsectorsareobservedfromtheexperimentalresult.Asimplewayofcomputingstrainisalsopresentedbyanalysinggriddeformationwithintheframeworkofgeometricalnonlinearity.Threeregionswereobservedfromstraindistributionalongthehorizontaldirection:thecontactregion,thesink-inregionandthefar-fieldregion.Moreover,theextentofthestickyregionandthatoftheslippyregionwithinthecontactinterfacearedistinguished,whichcanproviderealisticdatafortheoreticalmodelling.Basedonthefinitedeformationelasticitytheory,thedistributionofcontactpressureandshearstressoverthecontactinterfacearederivedforpredictionofpossiblecracks.
简介:Inthispaper,thestresssingularityanalysisatthecracktiponelasticbi-materialinter-facesisconsidered.ThegoverningequationsofplaneelasticityinsectorialdomainarederivedtobeinHamiltonianformviavariablesubstitutionandvariationalprinciple.Themethodsofseparationofvariablesandconjugatesymplecticeigen-functionexpansionaredevelopedtosolvetheequationsinsectorialdomain.Thegeneralformulaeforthesolutionofstresssingularitiesatthecracktiponbi-ma-terialinterfacesareputforward,andanewsolutiontechniqueforfractureproblemsispresented.
简介:Equilibriumpathsofpost-bucklingaremeasuredforlargeslendernesscolumnspecimensmadeofthefiberreinforcedcompositematerial.Theinfluenceoftheinitialcurvatureisinvestigatedexperimentallyandcomparedwiththeresultoftheinitialpost-bucklingtheory.Boththetheoreticalandexperimentalresultsrevealthatthecolumnwiththeinitialcurvaturehasstablepost-bucklingbe-haviorsandisnotsensitivetotheimperfectionintheformofinitialcurvature.Theexperimentalre-sultsshowthatwhenthelateralbucklingdisplacementislessthan20percentofthecolumnlength,theexperimentalresultsagreewiththeresultsfromthetheoryofinitialpost-bucklingquitewell,whiletheyagreewiththeresultsfromthelargedeflectiontheoryinaquitelargerange.
简介:ThehigherorderasymptoticfieldsatthetipofasharpV-notchinapower-hardeningmaterialforplanestrainproblemofModeⅠarederived.Theorderhierarchyinpowersofrforvarioushardeningexponentsnandnotchanglesβisobtained.Theangulardistributionsofstressforseveralcasesareplotted.Theself-similaritybehaviorbetweenthehigherordertermsisnoticed.ItisfoundthatthetermswithhigherordercanbenegleetedfortheV-notchangleβ>45°.
简介:三维(3D)排干的triaxial压缩和飞机的模拟拉紧的DEM(分离元素方法)测试用一个周期的房间为polydisperse范围的稠密、松开的集会被介绍。在工作,报导、排干的测试被在经常的吝啬的压力条件下面使样品变形建模。排干的行为被显示是类似于出版物理试验性的结果的品质上。主教为中间的主要压力的评价的公式被评估。批评密度的存在被显示独立于起始的收拾行李的密度和紧张条件。不同失败标准基于DEM模拟结果被比较了,并且Lade标准被发现是最适当的。一个新显微镜的织物参数被介绍在一般3D织物条件下面把卓见给结构的anisotropy。二个参数描绘压力和分别地独立于种类条件的织物的进化,这被发现。