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1、Chapter18ComputationalBiomechanicsofSoftBiologicalTissueGerhardA.HolzapfelGrazUniversityofTechnology,Graz,Austriachemicalenvironmentalfactors,andrespectivefunctionin1Introduction605theorganism.2MechanicsoftheArterialWall606Whatisthebiomechanicsofsofttissue?InaforewordforthenewjournalBi
2、omechanicsandModelinginMechanobi-3MechanicsoftheHeartWall618ology,Y.C.Fungsuggeststhatbiomechanicsisthemiddle4MechanicsoftheLigament625namebetweenbiologicalstructureandfunction.Hence,Acknowledgments629thebiomechanicsofsofttissueseekstoexplainthefunc-References630tionofsofttissuesbasedo
3、ntheirstructureandmechanics.Understanding,andthuscontrollingbetterthemechanicsinrelationtothestructureofanysoftbiologicaltissue,how1INTRODUCTIONmechanicalinformationistransducedbythecells,andhowchangesinthecellularandmolecularstructureoftissuesSofttissuesarediversebiologicalmaterialsin
4、whichthetherebyaffecttissuefunction,isacentralresearchgoalincellsareseparatedbyextracellularmaterial.Theycon-softtissuemechanics.nect,support,andprotectourbodyandformstructuresForsimplicity,softtissuesarefrequentlyassumedtosuchasorgans.Thesofttissuesincludebloodvessels,behaveashyperela
5、sticmaterials,andthereforedescribedhearttissues,ligaments,tendons,skin,orarticularcartilagewiththeconstitutivetheoryoffiniteelasticityforwhichtonameafew.Softtissuesarecomplexfiber-reinforcednonlinearcontinuummechanicsprovidethefundamentalcompositestructures.Inamicroscopicsense,theyarenon
6、-framework(seeChapter2,thisVolume).However,obser-homogeneousmaterialsbecauseoftheircomposition.Mostvationsofsofttissuesindicatethattheirmathematicalofthemexhibitananisotropybecauseoftheirfibers,whichdescriptioncannotberegardedassimplyappliedfiniteelas-tendtohavepreferreddirections.Theten
7、sileresponseofticity.Forexample,physiologicalfunctionsofsofttissuessofttissuesisnonlinearstiffeningandthetensilestrengthinvolvefluid-structureinteraction,includingelectrical,ther-dependsonthestrainrate.Incontrasttohard(mineral-mal,andtransportprocessesandcalcium-dependentmuscleized)ti