简介：Theboundaryintegralequation(BIE)ofdisplacementderivativesisputatadisadvantageforthedifficultyinvolvedintheevaluationofthehypersingularintegrals.Inthispaper,theoperatorsδijandεijareusedtoactonthederivativeBIE.Theboundarydisplacements,tractionsanddisplacementderivativesaretransformedintoasetofnewboundarytensorsasboundaryvariables.AnewBIEformulationtermednaturalboundaryintegralequation(NBIE)isobtained.TheNBIEisappliedtosolvingtwo-dimensionalelasticityproblems.IntheNBIEonlythestronglysingularintegralsarecontained.TheCauchyprincipalvalueintegralsoccurringintheNBIEareevaluated.AcombinationoftheNBIEanddisplacementBIEcanbeusedtodirectlycalculatetheboundarystresses.ThenumericalresultsofseveralexamplesdemonstratetheaccuracyoftheNBIE.

简介：Inthispaper,asimplebutinherentrelationbetweentheL-integralandtheBueeknerworkconjugateintegralisprovedforcrackproblemsinisotropic,anisotropic,anddissimilarmateri-als,respectively.Itisfoundthat,intheabove-mentionedthreecases,theL-integral,fromthemath-ematicalpointofviewaswellasinprinciple,arisesfromBetti’sreciprocaltheorem.ThismeansthattheBuecknerworkconjugateintegralisamoregeneralpath-independentintegralthantheotherssinceanyotherpath-independentintegralscouldbederivedbyusin8theBuecknerintegralwhilechoosingadifferentsubsidiarystress-displacementfield.

简介：一个数字方法被建议模仿一条不可分的法律组成的粘弹性的移动绳的横向的颤动。在数字计算，Galerkin方法基于Hermite函数被用于discretize州的变量，和Runge-Kutta方法被使用解决结果微分积分的方程系统。一个线性反复的过程被设计计算不可分的条款在每次走，它使数字方法更有效、精确。作为例子，移动粘弹性的绳的一个向轴的方向的非线性的参量的颤动被分析。

简介：M积分的物理解释在损坏裂缝的压电的问题的分析被调查。在M积分和全部的电的热含量(CTEE)的变化之间的关系，即，M=2CTEE，为二维的压电的问题与一个理论推导过程被导出。M积分可以由于与损坏身体，而非对为常规易碎的固体解释了的全部的势能版本率的描述联系的pre-existingmicroc-racks的形成提供对电的热含量版本的更自然的描述，这被显示出。为损坏裂缝的压电的陶艺，M积分的数字计算被讨论。基于pseudo-tractionelectric排水量方法，M=2CTEE被数字结果也证明了。

简介：TheSelf-SimilarCrackExpansion(SSCE)methodisproposedtoevaluatestressintensi-tyfactorsatcracktips,wherebystressintensityfactorsofacrackcanbedeterminedbythecrackopeningdisplacementoverthecrack,notjustbythelocaldisplacementaroundthecracktip.Thecrackexpansionrateisestimatedbytakingadvantageofthecrackself-similarity.Therefore,theaccuracyofthecalculationisimproved.Thesingularintegralsoncracktipelementsarealsoanalyzedandarepre-ciselyevaluatedintermsofaspecialintegralanalysis.Combinationofthesetwotechniquesgreatlyin-creasestheaccuracyinestimatingthestressdistributionaroundthecracktip.Avarietyoftwo-dimen-sionalcracks,suchassubsurfacecracks,edgecracks,andtheirinteractionsarecalculatedintermsoftheself-similarexpansionrate.Solutionsaresatisfiedwitherrorslessthan0.5%ascomparedwiththeanalyticalsolutions.Basedonthecalculationsofthecrackinteractions,atheoryforcrackinteractionsisproposedsuchthatforagroupofalignedcracksthesummationofthesquareofSIFsattherighttipsofcracksisalwaysequaltothatatthelefttipsofcracks.ThistheorywasprovedbythemehtodofSelf-SimilarCrackExpansioninthispaper.

简介：基于Zak的压力功能，有V槽口的双性人材料的压力奇特的eigen方程被获得。为双性人材料的垂直界面的V槽口的压力紧张因素的一个新定义被提出。效果砍模量和泊松是矩阵材料的比率，特征值上的属于的材料被分析。为双性人材料的垂直V槽口的精明的KI的概括表情借助于压力推测被获得。槽口深度，槽口角度和泊松的效果是V槽口的尖端附近的单个压力地上的材料的比率与数字模拟系统地被分析。作为一个例子，有在单轴的一致紧张下面的两倍边槽口的一个有限盘子被介绍的方法和对压力奇特的槽口角度和泊松的比率的影响在槽口的尖端附近计算被获得。

简介：Formulationintermsofhypersingularintegralequationsfortheinteractionbetweenstraightandcurvedcracksinplaneelasticityisobtainedusingthecomplexvariablefunctionsmethod.Thecurvedlengthcoordinatemethodandasuitablenumericalschemeareusedtosolvesuchintegralsnumericallyfortheunknownfunction,whicharelaterusedtofindthestressintensityfactor,SIF.

简介：Thedynamicstressintensityfactorhistoryforahalfplanecrackinanotherwiseunboundedelasticbody,withthecrackfacessubjectedtoatractiondistributionconsistingoftwopairsofcombinedmodepointloadsthatmoveinadirectionperpendiculartothecrackedgeisconsidered.Theanalyticexpressionforthecombinedmodestressintensityfactorsasafunctionoftimeforanypointalongthecrackedgeisobtained.ThemethodofsolutionisbasedontheapplicationofintegraltransformtogetherwiththeWiener-HopftechniqueandtheCagniard-deHoopmethod.Somefeaturesofthesolutionarediscussedandgraphicalresultsforvariouspointloadspeedsarepresented.

简介：Aschemeisdevelopedforanalysingtheinteractionbetweenafoundationandanonlin-earrockandsoilmedium,inwhichthefoundationisconsideredasalinearelasticbodyandatypicalboundaryintegralequationmethod(BIEM)isemployed.(hathebasisoftakingthenonlinearproper-tiesofthemediumintoaccount,aperturbationBIEMisdeveloped.Thefundamentalequationsforthenonlinearcouplinganalysisareformulated,andtypicalproblemsaresolvedanddiscussedbythepre-sentmethod.

简介：ByusingtheSomiglianarepresentationandtheconceptsoffinite-partintegrals,asetofhypersingularintegralequationsoftheinteractionbetweentwoparallelplanarcracksinathree-dimen-sionalfinitebodysubjectedtoarbitraryloadsisderived,andthenitsnumericalmethodisproposedbythefinite-partintegralmethodcombinedwiththeboundaryelementmethod.Accordingtotheanalytictheoryofhypersingularintegralequations,thesquarerootmodelsofdisplacementdiscontinuitiesintheelementsnearthecrackfrontareapplied,andthusthecomputationalprecisionisraised.Basedonthis,thestressintensityfactorscanbedirectlycalculated.Finally,thestressintensityfactorsofsever-altypicalinteractionproblemsarecalculated.