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Evaluation of the effective viscoelastic properties of a material containing multiple oblate inhomogeneities using fraction-exponential operators

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Abstract The paper focuses on the calculation of the effective properties of a viscoelastic material containing multiple inhomogeneities of oblate shape (flakes). The orientation distribution of the inhomogeneities may vary… Click to show full abstract

Abstract The paper focuses on the calculation of the effective properties of a viscoelastic material containing multiple inhomogeneities of oblate shape (flakes). The orientation distribution of the inhomogeneities may vary from perfectly aligned to randomly oriented ones. Both matrix and flakes are assumed to be isotropic. Their viscoelastic behavior is described using fraction-exponential operators of Scott Blair-Rabotnov. Results are obtained in closed explicit form. A particular case of a viscous matrix containing randomly oriented viscoelastic inhomogeneities, relevant to modeling of the viscoelastic properties of blood, is discussed in detail.

Keywords: viscoelastic properties; containing multiple; exponential operators; fraction exponential; material containing; using fraction

Journal Title: International Journal of Engineering Science
Year Published: 2019

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