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2008•Journal of Shandong UniversityRequires access

The complex modulus and the complex compliance for higher-order fractional constitutive models of visco-elastic materials

Jiaguo Liu

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Abstract

By the theory of fractional calculus(FC) based higher-order fractional constitutive models of visco-elastic materials,the complex modulus of FVMP model and complex compliance of FVMS model were discussed.The theory curves were also given.The results are significant in guilding dynamical tests on viscoelastic materials.

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What this paper is about

By the theory of fractional calculus(FC) based higher-order fractional constitutive models of visco-elastic materials,the complex modulus of FVMP model and complex compliance of FVMS model were discussed.The theory curves were also given.The results are significant in guilding dynamical tests on viscoelastic materials.

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Available abstract

By the theory of fractional calculus(FC) based higher-order fractional constitutive models of visco-elastic materials,the complex modulus of FVMP model and complex compliance of FVMS model were discussed.The theory curves were also given.The results are significant in guilding dynamical tests on viscoelastic materials.

Key concepts: Viscoelasticity, Constitutive equation, Fractional calculus, Order (exchange), Compliance (psychology), Mathematics, Modulus, Mathematical analysis

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