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Load transfer in fibre-reinforced composites with viscoelastic matrix: an analytical study

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Abstract

In A fibre-reinforced 2D composite material with elastic fibres and viscoelastic, isotropic matrix is studied. Starting from the solution of a reference-problem with elastic matrix material the elastic matrix parameters are substituted by their viscoelastic correspondents in the Laplace domain. For simplification the time-dependent solution is approximated by using limiting value theorems that give information about the time-dependent solution for t → 0 and t → ∞. Then the method of asymptotically equivalent functions is used and illustrated with examples of a steel fibre in a PMMA matrix. The analytical solutions are compared with their numerical counterparts. In summary it can be stated that this paper is a further contribution to the vast literature about the application of the correspondence principle to the solution of special problems of the linear viscoelasticity.

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Authors and Affiliations

  1. Institute of General Mechanics, Rheinisch-Westfälische Technische HochschuleAachen, Templergraben 64, 52062, Aachen, Germany

    I. V. Andrianov, H. Topol & D. Weichert

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  1. I. V. Andrianov
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  2. H. Topol
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  3. D. Weichert
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Correspondence to I. V. Andrianov.

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Andrianov, I.V., Topol, H. & Weichert, D. Load transfer in fibre-reinforced composites with viscoelastic matrix: an analytical study. Arch Appl Mech 79, 999–1007 (2009). https://doi.org/10.1007/s00419-008-0265-y

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  • DOI: https://doi.org/10.1007/s00419-008-0265-y

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