简介：Tobettersimulatemulti-phaseinteractionsinvolvingfailureevolution,thematerialpointmethod(MPM)hasevolvedforalmosttwentyyears.Recently,aparticle-basedmultiscalesimulationprocedureisbeingdeveloped,withintheframeworkoftheMPM,todescribethedetonationprocessofenergeticnano-compositesfrommoleculartocontinuumlevelsothatamultiscaleequationofstatecouldbeformulated.Inthisletter,amultiscaleMPMisproposedviabothhierarchicalandconcurrentschemestosimulatetheimpactresponsebetweentwomicrorodswithdifferentnanostructures.Preliminaryresultsarepresentedtoillustratethatatransitionregionisnotrequiredbetweendifferentspatialscaleswiththeproposedapproach.

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简介：Thisletterpresentsananalyticalsolutiontothehydrodynamiclubricationofacircularpointcontactslidingoveraflatsurfacewithcavitation.ThesolutionisfoundbysolvingtheReynoldsequationwithReynoldsboundaryconditionforcavitation.Thecavitationboundaryisshowntobestraightlinesdirected108.4°againsttheslidingdirection.Theresultisexperimentallyverifiedinthelimitoflargevaluesofviscosity,slidingvelocityandradiusofasphericalball.Thesolutionraisesquestionsaboutthecouplingbetweencavitationandfilmruptureandcanbeusedasanindependentcheckonthevalidityofnumericalsolutions.

简介：InthispaperwedeveloptheBanachcontractionprincipleandKannanfixedpointtheoremongeneralizedconemetricspaces.WeproveaversionofSuzukiandKannantypegeneralizationsoffixedpointtheoremsingeneralizedconemetricspaces.

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简介：这篇文章与第二个顺序拐弯处点解决了一个不可思议地使不安的边界值问题的asymptotic解决方案，在联合传送对流骚乱的消散的平衡向量域里遇到了运动方程在下面抑制走并且严肃。用匹配asymptotic扩大，正式asymptotic答案被构造。由使用微分不平等的理论，为答案的asymptotic扩大的一致有效性被证明。

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