High Strain-Rate Compressive Behavior and Constitutive Modeling of Selected Polymers Using Modified Ramberg-Osgood Equation

Article Preview

Abstract:

The present paper is concerned with constitutive modeling of the compressive stress-strain behavior of selected polymers at strain rates from 10-3 to 103/s using a modified Ramberg-Osgood equation. High strain-rate compressive stress-strain curves up to strains of nearly 0.08 for four different commercially available extruded polymers were determined on the standard split Hopkinson pressure bar (SHPB). The low and intermediate strain-rate compressive stress-strain relations were measured in an Instron testing machine. Six parameters in the modified Ramberg-Osgood equation were determined by fitting to the experimental stress-strain data using a least-squares fit. It was shown that the monotonic compressive stress-strain behavior over a wide range of strain rates can successfully be described by the modified Ramberg-Osgood constitutive model. The limitations of the model were discussed.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

80-85

Citation:

Online since:

June 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] E.D.H. Davies and S.C. Hunter: Journal of the Mechanics and Physics of Solids, Vol. 11 (1963), p.155.

Google Scholar

[2] S.S. Chiu and V.H. Neubert: Journal of the Mechanics and Physics of Solids, Vol. 15 (1967), p.177.

Google Scholar

[3] E.W. Billington and C. Brissenden: International Journal of Mechanical Sciences, Vol. 13 (1971), p.531.

Google Scholar

[4] V.P.W. Shim, J. Yuan and S. -H. Lee: Experimental Mechanics, Vol. 41 (2001), p.122.

Google Scholar

[5] W. Chen, F. Lu and M. Cheng: Polymer Testing, Vol. 21 (2002), p.113.

Google Scholar

[6] N.A. Fleck, W.J. Stronge and J.H. Liu: Proceedings of the Royal Society of London, Series A, Vol. A429 (1990), p.459.

Google Scholar

[7] H. Kolsky: Proceedings of the Physical Society, Vol. B62 (1949), p.676.

Google Scholar

[8] K.W. Chase and W. Goldsmith: Experimental Mechanics, Vol. 14 (1974), p.10.

Google Scholar

[9] A.D. Mulliken and M.C. Boyce: International Journal of Solids and Structures, Vol. 43 (2006), p.1331.

Google Scholar

[10] W. Chen and B. Zhou: Mechanics of Time-Dependent Materials, Vol. 2 (1998), p.103.

Google Scholar

[11] J.L. Jordan, C.R. Siviour, J.R. Foley and E.N. Brown: Polymer, Vol. 48 (2007), p.4184.

Google Scholar

[12] ASTM E9-89a: Annual Book of ASTM Standards, Vol. 03. 01, pp.98-105 (American Society for Testing and Materials, Philadelphia, 1995).

Google Scholar

[13] G.T. Gray III: ASM Handbook, Vol. 8, Mechanical Testing and Evaluation, pp.462-476 (ASM International, Materials Park, OH, 2000).

Google Scholar

[14] B. Song and W. Chen: Experimental Mechanics, Vol. 44 (2004), p.622.

Google Scholar

[15] K. Nakai and T. Yokoyama: The Japan Society of Mechanical Engineers, Journal of Solid Mechanics and Materials Engineering, Vol. 2 (2008), p.557.

Google Scholar

[16] U.S. Lindholm: Journal of the Mechanics and Physics of Solids, Vol. 12 (1964), p.317.

Google Scholar

[17] I.M. Ward and J. Sweeney: An Introduction to the Mechanical Properties of Solid Polymers, 2nd Edition, p.57 (John Wiley & Sons, Ltd, Chichester, 2004).

Google Scholar

[18] G.E. Dieter: Mechanical Metallurgy, SI Metric Edition, p.434 (McGraw-Hill, London, 1988).

Google Scholar

[19] W. Ramberg and W.R. Osgood: Technical Note, No. 902 (National Advisory Committee for Aeronautics, Washington DC, 1943).

Google Scholar

[20] D.L. McLellan: AIAA Journal, Vol. 5 (1967), p.446.

Google Scholar