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Responses of viscoelastic polymer composites with temperature and time dependent constituents

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Abstract

This study formulates a concurrent micromechanical model for predicting effective responses of fiber reinforced polymer (FRP) composites, whose constituents exhibit thermo-viscoelastic behaviors. The studied FRP composite consists of orthotropic unidirectional fiber and isotropic matrix. The viscoelastic material properties for the fiber and matrix constituents are allowed to change with the temperature field. The composite microstructures are idealized with periodically distributed square fibers in a matrix medium. A unit-cell model, consisting of four fiber and matrix subcells, is generated to obtain effective nonlinear thermo-viscoelastic responses of the composites. A time-integration algorithm is formulated to link two different thermo-viscoelastic constitutive material models at the lowest level (homogeneous fiber and matrix constituents) to the effective material responses at the macro level, and to transfer external mechanical and thermal stimuli to the constituents. This forms a concurrent micromechanical model, which is needed as the material properties of the constituents depend on the temperature field. Consistent tangent stiffness matrices are formulated at the fiber and matrix constituents and also at the effective composite level to improve prediction accuracy. The thermo-viscoelastic responses obtained from the concurrent micromodel are verified with available experimental data. Detailed finite element (FE) models of the FRP microstructures are also generated using 3D continuum elements for several fiber volume fractions. Thermo-viscoelastic responses of the concurrent micromodel are also compared to the ones of the detailed FRP microstructures.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Texas A&M University, College Station, TX, 77843-3123, USA

    Anastasia H. Muliana & Sourabh Sawant

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  1. Anastasia H. Muliana
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  2. Sourabh Sawant
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Correspondence to Anastasia H. Muliana.

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Muliana, A.H., Sawant, S. Responses of viscoelastic polymer composites with temperature and time dependent constituents. Acta Mech 204, 155–173 (2009). https://doi.org/10.1007/s00707-008-0052-4

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  • DOI: https://doi.org/10.1007/s00707-008-0052-4

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