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An eigen theory of rheology for complex media

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The rheology for anisotropic media with complex viscoelasticity is studied here by means of an eigen theory of mechanical representation. The modal constitutive equations are obtained, each of which has the same form as that of a one-dimensional mechanical model. Taking the standard linear model as an example, the dynamic equations and also static equations of complex anisotropic viscoelastic media are deduced, and from these equations, the propagation laws of viscoelastic waves in complex media are analyzed. Furthermore, a typical plane problem of viscoelastic statics is solved.

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Authors and Affiliations

  1. School of Civil Engineering and Architecture, Central South University, Changsha, 410083, P.R. China

    Shaohua Guo

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  1. Shaohua Guo
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Correspondence to Shaohua Guo.

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Guo, S. An eigen theory of rheology for complex media. Acta Mech 198, 253–260 (2008). https://doi.org/10.1007/s00707-007-0524-y

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  • DOI: https://doi.org/10.1007/s00707-007-0524-y

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