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RESEARCH PAPERS

Nonlinear Viscoelastic Constitutive Model for Thermoset Polymers

[+] Author and Article Information
Fernand Ellyin

Department of Mechanical Engineering, University of Alberta, Edmonton, AB, T6G 2G8, Canada

Zihui Xia

Department of Mechanical Engineering, University of Alberta, Edmonton, AB, T6G 2G8, Canadazihui.xia@ualberta.ca

J. Eng. Mater. Technol 128(4), 579-585 (May 09, 2006) (7 pages) doi:10.1115/1.2345450 History: Received August 31, 2005; Revised May 09, 2006

A nonlinear viscoelastic constitutive model, in differential form, is presented based on the deformation characteristics of thermoset polymers under complex loadings. This rheological model includes a criterion to delineate loading and unloading in multiaxial stress states, and different moduli for loading and unloading behaviors. The material constants and functions of this model are calibrated in accordance with a well-defined procedure. The model predictions are compared with the experimental data of an epoxy polymer subjected to uniaxial and biaxial stress states with monotonic and cyclic loading. The agreement is very good for various loading regimes. The constitutive model is further implemented in a finite element code and the residual stresses arising from the curing process of polymer reinforced composites is determined for two different epoxy resins.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 2

A comparison of experimental data with the predicted creep-recovery curves, adopted from (12)

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Figure 3

A comparison of experimental data and the model prediction for strain recovery following the load removal

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Figure 4

Shear strain creep test results and model predictions

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Figure 5

A comparison of the predicted stress envelopes with the experimental data for three different octahedral strain rates

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Figure 6

Uniaxial loading-unloading curves at an octahedral shear strain rate of 10−5s−1

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Figure 7

Stress-strain responses for two different loading paths with an octahedral shear strain rate of 10−5s−1: (a) experimental and predicted axial stress-strain curves; (b) experimental and predicted shear stress-strain curves

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Figure 1

Schematic representation of a memory surface and the loading/unloading criterion

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Figure 8

Stress-strain response to a cyclic loading with a stress range of 55MPa and a mean stress of 27.5MPa (a) test data, (b) predicted results

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Figure 9

Strain-controlled nonproportional quarter-circle sectorial cyclic loading with a strain range of Δεa=Δεh=1.5%. (a) Experimental cyclic strain path; (b) experimental stress response; (c) predicted stress response.

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Figure 10

Strain-controlled non-proportional quarter-circle sectorial cyclic loading with a strain range of Δεa=Δεh=1.5%. (a) Experimental axial stress-strain response; (b) experimental hoop stress-strain response; (c) predicted axial stress-strain response; (d) predicted hoop stress-strain response.

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Figure 11

The meso/micro-mechanical model of a cross-ply laminate. (a) The repeated unit cells (RUC); (b) meshed model (due to the symmetry only 1∕8th of the RUC model was used in the analysis).

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Figure 12

Evolution of the maximum tensile stress in the matrix for two different cooling rates

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Figure 13

Evolution of the maximum compressive stress in the fiber for two different cooling rates

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