On the Prediction of Stress Relaxation From Known Creep of Nonlinear Materials

Journal of Engineering Materials and Technology - Tập 119 Số 2 - Trang 121-124 - 1997
D. Touati1, G. Cederbaum1
1The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva 84105, Israel

Tóm tắt

A method to predict the nonlinear relaxation behavior from creep experiments of nonlinear viscoelastic materials is presented. It is shown that for given nonlinear creep properties, and creep compliance represented by the Prony series, the Schapery creep model can be transformed into a set of first order nonlinear equations. The solution of these equations enables the obtaining of the nonlinear stress relaxation curves. The strain-dependent constitutive equation can then be constructed for a given nonlinear viscoelastic model, as needed for engineering applications. A comparison example of the calculated stress relaxation curves, with test data for polyurethane demonstrates the very good accuracy of the proposed method.

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Tài liệu tham khảo

Augl J. M. , and LandD. J., 1985, “A Numerical Approach for Obtaining Nonlinear Viscoelastic Parameters of Polymeric Materials and Composites,” J. Applied Polymer Science, Vol. 30, pp. 4203–4233.

Brueller O. S. , 1987, “On the Nonlinear Characterization of the Long Term Behavior of Polymeric Materials,” Polymers Engineering and Science, Vol. 27(2), pp. 144–148.

Brueller O. S. , and SteinerH., 1993, “Creep-Based Characterization of Nonlinear Relaxation Behavior of Plastics,” Polymers Engineering and Science, Vol. 33(21), pp. 1400–1403.

Dillard D. A. , StraightM. R., and BrinsonH. F., 1987, “The Nonlinear Viscoelastic Characterization of Graphite/Epoxy Composites,” Polymers Engineering and Science, Vol. 27(2), pp. 116–123.

Henderson, J., Calderon, G., and Rand, J., 1994, “A Nonlinear Viscoelastic Constitutive Model for Balloon Films,” AIAA 32nd Aerospace Science Meeting & Exhibit, January 10–13.

Horoschenkoff A. , 1990, “Characterization of the Creep Compliance J22 and J66 of Orthotropic Composites With PEEK and Epoxy Matrices Using the Nonlinear Viscoelastic Response of Neat Resins,” J. Composite Materials, Vol. 24, pp. 879–891.

Katouzian M. , and BruellerO. S., 1995, “On the Effect of Temperature on the Creep Behavior of Neat and Carbon Fiber Reinforced PEEK and Epoxy Resin,” J. Composite Material, Vol. 29(3), pp. 372–387.

Lai J. S. Y. , and FindleyW. N., 1968a, “Stress Relaxation of Nonlinear Viscoelastic Material Under Uniaxial Strain,” Transactions of the Society and Rheology, Vol. 12(2), pp. 259–280.

Lai J. S. Y. , and FindleyW. N., 1968b, “Prediction of Uniaxial Stress Relaxation From Creep of Nonlinear Viscoelastic Material,” Transactions of the Society and Rheology, Vol. 12(2), pp. 234–257.

Schapery R. A. , 1969, “On the Characterization of Nonlinear Viscoelastic Materials,” Polymers Engineering and Science, Vol. 9, pp. 295–310.

Scott D. W. , LaiJ. S., and ZureickA. H., 1995, “Creep Behavior of Fiber Reinforced Polymeric Composites: A Review of the Technical Literature,” J. Reinforced Plastics and Composites, Vol. 14, pp. 588–617.

Zhang S. Y. , and XiangX. Y., 1992, “Creep Characterization of Fiber Reinforced Plastic Material,” J. Reinforced Plastic and Composites, Vol. 11, pp. 1187–1194.