Fractional-order generalized thermoelastic diffusion theory

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摘要 Thepresentworkaimstoestablishafractional-ordergeneralizedthemoelasticdiffusiontheoryforanisotropicandlinearlythermoelasticdiffusivemedia.Tonumericallyhandlethemulti-physicsproblemsexpressedbyasequenceofincompletedifferentialequations,particularlybyafractionalequation,ageneralizedvariationalprincipleisobtainedfortheunifiedtheoryusingasemi-inversemethod.Innumericalimplementation,thedynamicresponseofasemi-infinitemediumwithoneendsubjectedtoathermalshockandachemicalpotentialshockisinvestigatedusingtheLaplacetransform.Numericalresults,i.e.,non-dimensionaltemperature,chemicalpotential,anddisplacement,arepresentedgraphically.Theinfluenceofthefractionalorderparameteronthemisevaluatedanddiscussed.
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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)
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