Prediction of viscoelastic behavior of unidirectional polymer matrix composites

Abstract

To develop a novel method predicting the viscoelastic behavior of polymer matrix composites according to the viscoelasticity of the matrix, we used the viscoelastic model of the matrix to build new models for unidirectional composites in both 0° and 90° directions. Viscoelastic parameters for both new models were derived, and the obtained equations shared the same form as the viscoelastic constitutive equation of matrix material. The viscoelastic behaviors of matrix material and unidirectional composites were also tested. Results showed that fitting parameters of creep compliance equation were close to the theoretical values of viscoelastic constitutive parameters of the unidirectional composites, proving the validity of the models. A new method was obtained to predict the viscoelastic property of the unidirectional composites based on the viscoelastic property of composite matrix and elastic property of the unidirectional composites. This method provides a theoretical basis for future studies on the viscoelasticity of composite laminates.

Keywords

viscoelastic model / polymer matrix composites / creep / microscopic-mechanical models / long-term behavior

References

[1] Guglielmo C, Valter C. Long-term Bending Performance and Service LifePrediction of Pultruded Glass Fibre Reinforced Polymer Composites[J]. Composite Structures, 2015, 127: 308-315.

[2] Priyank U, Upadhyay C S. A Three-dimensional Micromechanical Model to Predict the Viscoelastic Behavior of Woven Composites[J]. Composite Structures, 2011, 93: 2733-2739.

[3] Arao Y, Yukie O, Koyanagi J, et al. Simple Method for Obtaining Viscoelastic Parameters of Polymeric Materials by Incorporating Physical-aging Effects[J]. Mechanics of Time-dependent Materials, 2012, 16: 169-180.

[4] Yang B J, Kim B R, Lee H K. Predictions of Viscoelastic Strain rate Dependent Behavior of Fiber-reinforced Polymeric Composites[J]. Composite Structures, 2012, 94: 1420-1429.

[5] Guedes R M. Durability of Polymer Matrix Compo-sites: Viscoelastic Effect on Static and Fatigue Loading[J]. Composites Science and Technology, 2007, 67: 2574-2583.

[6] Aboudi J, Cederbaum G. Analysis of Viscoelastic Laminated Composite Plates[J]. Composite Structures, 1989, 12: 243-256.

[7] Liang J, Du S Y. Study of Mechanical Properties of Viscoelastic Matrix Composite by Micromechanics[J]. Acta Materiae Compositae Sinica, 2001, 18(1): 97-100.

[8] Yu H, Zhou C W. Meso-mechanical Analysis on Dynamic Viscoelasticity of Fiber-reinforced Composites[J]. Journal of Vibration Engineering, 2011, 24(4): 359-362.

[9] Nakada M, Miyano Y. Accelerated Testing for Long-term Fatigue Strength of Various FRP Laminates for Marine Use[J]. Composites Science and Technology, 2009, 69: 805-813.

[10] Zhang X Y, Huang Q Y, Chen J Z, et al. The Viscoelastic Model of PMC Unidirectional Plates[J]. J. Huazhong Univ. of Sci. & Tech. (Natural Science Edition), 2015, 43(1): 30-33.

[11] Zhang C, Wang J L. Interface Stress Redistribution in FRP-strengthened Reinforced Concrete Beams Using a Three-parameter Viscoelastic Foundation Model[J]. Composites Part B: Engineering, 2012, 43: 3009-3019.

[12] Sá M F, Gomes A M, Correia J R, et al. Creep Behavior of Pultruded GFRP Elements-Part 1: Literature Review and Experimental Study[J]. Composite Structures, 2011, 93: 2450-2459.

[13] Sá M F, Gomes A M, Correia J R, et al. Creep Behavior of Pultruded GFRP Elements-Part 2: Analytical Study[J]. Composite Structures, 2011, 93: 2409-2418.

[14] Ascione L, Berardi V P, Aponte A D. Creep Phenomena in FRP Materials[J]. Mechanics Research Communications, 2012, 43: 15-21.

[15] Nakada M, Miyano Y, Cai H N, et al. Prediction of Long-term Viscoelastic Behavior of Amorphous Resin Based on the Timetemperature Superposition Principle[J]. Mechanics of Time-Dependent Materials, 2011, 15: 309-316.