A simple model of nonlinear viscoelasticity taking into__ account stress relaxation.

《A simple model of nonlinear viscoelasticity taking into__ account stress relaxation.》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、ActaMech204,2136(2009)DOI10.1007/s00707-008-0033-7L.Filograna·M.Racioppi·G.Saccomandi·I.SguraAsimplemodelofnonlinearviscoelasticitytakingintoaccountstressrelaxationReceived:11June2007/Revised:15February2008/Publishedonline:16July2008©Springer-Verlag2008AbstractWepresentoneofthesim

2、plesttheoryofnonlinearviscoelasticitytakingintoaccountstressrelaxation.Themodelisa3Dnonlineargeneralizationofthestandardthree-parametermodelof1Dclas-sicalviscoelasticity.Intheframeworkofthistheory,weexaminesomesimpledeformations.Firstofall,weconsiderahomogeneousdeformationasapossi

3、bleidealizationoftheusualtriaxialtest.Bythisanalysis,weshowthatthemodelunderinvestigationmaybeinterestingtodescribethemechanicalbehaviorofmaterialslikebitumenandhotmixasphalt.Moreover,weinvestigatetheevolutionofshearingmotions(mainlyinthequasi-staticapproximation)topointoutseveral

4、aspectsoftherichmechanicalresponseofconstitutivetheoriesinimplicitform.1IntroductionTheincreasinguseofpolymericsolidmaterialscallsforcomplexmathematicalmodelsgoingbeyondinfin-itesimalstrainsandthat,besidesinstantaneouselasticresponsetostress,takeintoaccountphenomenalikedelayedelast

5、icresponseandstressrelaxation.Thesamehappenswhenwestudy,viacontinuummechanics,manygeo-materialslikebitumen,hotmixasphaltsandrocks.Usuallygeneralmodelsfor3Dnonlinearviscoelasticityproposedintheliteraturearequitecomplex(seeforexample[1])andforthisreasonanymathematicalanalysisisdisco

6、uraged.Recently,averysimplemodelofnonlinearviscoelasticitywhichisafeasible3DanalogueoftheclassicalKelvinVoigtsolidhavebeenconsideredbyseveralauthors.Forexample,somegeneralmathematicalfeaturesofthisnonlinearKelvinVoigtmodelhavebeeninvestigatedbyQuintanillaandSaccomandi[2].Itiswellk

7、nownthattheKelvinVoigtviscoelasticitycannotaccountforstressrelaxation.Theaimofthepresentmanuscriptistoconsideramodelof3Dnonlinearviscoelasticitythatmaytakeintoaccountthephenomenaassociatedwithstressrelaxation.Towardthisend,weconsiderapossiblegeneralizationoftheL.Filograna·M.Raciop

8、piNardòTechnicalCenter,PrototipoG