摘要
Thepresentworkaimstoestablishafractional-ordergeneralizedthemoelasticdiffusiontheoryforanisotropicandlinearlythermoelasticdiffusivemedia.Tonumericallyhandlethemulti-physicsproblemsexpressedbyasequenceofincompletedifferentialequations,particularlybyafractionalequation,ageneralizedvariationalprincipleisobtainedfortheunifiedtheoryusingasemi-inversemethod.Innumericalimplementation,thedynamicresponseofasemi-infinitemediumwithoneendsubjectedtoathermalshockandachemicalpotentialshockisinvestigatedusingtheLaplacetransform.Numericalresults,i.e.,non-dimensionaltemperature,chemicalpotential,anddisplacement,arepresentedgraphically.Theinfluenceofthefractionalorderparameteronthemisevaluatedanddiscussed.
出版日期
2017年08月18日(中国期刊网平台首次上网日期,不代表论文的发表时间)