EFFECT OF STEP LOADING ON THE LINEAR AND NON-LINEAR VISCOELASTIC BEHAVIOR OF SOLID POLYMERS USING FEM

Authors

  • Abdulamir S. Resen College of Engineering, Nawroz University, Duhok, Kurdistan Region - Iraq

DOI:

https://doi.org/10.25007/ajnu.v7n3a248

Keywords:

Linear Viscoelastic, Non-Linear Viscoelastic

Abstract

Problems of step loading in one and two dimensions were investigated using FEM. 2D FE program was modified to study the linear and non-linear viscoelastic strain using non-linear viscoelastic model “Schapery’s model” as constitutive low along with spectrum of material properties. A very carefully selected four case studies covering an important part of viscoelastic behavior were solved for two types of solid polymers, Polyurethane and Poly (vinyl chloride). An excellent fit was obtained when comparing the predicted results with those obtained experimentally.

Downloads

Download data is not yet available.

References

1. Findley W.N., J.S.Y. Lai,
“A Modified Superposition Principle Applied to Creep of Non-Linear Viscoelastic Material Under Abrupt changes in State of Combined Stress” Trans. of the Soc. Reheology. Vol.11, No.3, pp. (361-380), 1967.
2. Findley W.N., G. Khosla. “Application of the Superposition Principle and Theories of Mechanical Equation of State, Strain, and Time Hardening of Creep of Plastics Under Changing Loads”, J. of Applied Physics Vol.26, No.7, pp. (821-832), 1955.
3. Al-Hadithi Q. T.,
“The Linear and The Onset of Nonlinear Creep Analysis in Solid Polymers using FE Method”, M.Sc. Thesis, Mechanical Engineering Department, University of Basrah, 1998.
4. Schapery R.A.,
“On The Characterization of Nonlinear Viscoelastic Materials”, Polymer. Eng. and Sc. Vol.9, No.1, 1969.
5. Kitagawa, M. and Takagi, H.,
“Non-Linear Constitutive Equation for Polyethylene under Combined Tension Torsion”, J. Polymer Science, part B : Polymer Science, Vol. 28, pp. 1843-1853, 1990.
6. Kichnin, J., Dang Van, K. and Boytard,
“Finite Element Simulation of New Two-Dissipative Mechanisms Model for Bulk Medium Density Polyethylene”, J. of Materials Sc., Vol. 31, pp. 1653-1661, 1996.
7. Buckley, C.P. and Johns, D.C.,
“Glass Rubber Constitutive Model for Amorphous Polymers near Glass Transition”, Polymer, Vol. 17, No. 17, pp.3301-3312, 1995.
8. Lai, J. and Bakker, A.,
“3-D Schapery Representation for Non-Linear Viscoelasticity and Finite Element Implementation”, Computational Mech. Vol. 18, pp.182-191, 1996.
9. Brueller O. S. & Stiener H.,
“Creep-Based Characterization of Nonlinear Relaxation Behavior of Plastics”, Polymer Engineering & Science, Vol. 33, No. 21, 1993.
10. Carnham, B., Luther, H. A. and Wilkes J. O.,
“Applied Numerical Methods” John Wiley & Sons, 1969.

Published

2018-08-28

How to Cite

Resen, A. S. (2018). EFFECT OF STEP LOADING ON THE LINEAR AND NON-LINEAR VISCOELASTIC BEHAVIOR OF SOLID POLYMERS USING FEM. Academic Journal of Nawroz University, 7(3), 235–244. https://doi.org/10.25007/ajnu.v7n3a248

Issue

Section

Articles