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CLC number: TH140.7; TH145.4+2

On-line Access: 2010-10-05

Received: 2010-04-17

Revision Accepted: 2010-08-16

Crosschecked: 2010-08-20

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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.10 P.811-816


Rate-dependent constitutive model of poly(ethylene terephthalate) for dynamic analysis

Author(s):  Qiang Li, Shu-lian Liu, Shui-ying Zheng

Affiliation(s):  Institute of Chemical Machinery, Zhejiang University, Hangzhou 310027, China, Department of Electro-Mechanical Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China

Corresponding email(s):   liqiangsydx@163.com, zhengshuiying@zju.edu.cn

Key Words:  Rate-dependent, Tensile testing, Constitutive model, Strain rate, Poly(ethylene terephthalate) (PET)

Qiang Li, Shu-lian Liu, Shui-ying Zheng. Rate-dependent constitutive model of poly(ethylene terephthalate) for dynamic analysis[J]. Journal of Zhejiang University Science A, 2010, 11(10): 811-816.

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%T Rate-dependent constitutive model of poly(ethylene terephthalate) for dynamic analysis
%A Qiang Li
%A Shu-lian Liu
%A Shui-ying Zheng
%J Journal of Zhejiang University SCIENCE A
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1000182

T1 - Rate-dependent constitutive model of poly(ethylene terephthalate) for dynamic analysis
A1 - Qiang Li
A1 - Shu-lian Liu
A1 - Shui-ying Zheng
J0 - Journal of Zhejiang University Science A
VL - 11
IS - 10
SP - 811
EP - 816
%@ 1673-565X
Y1 - 2010
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1000182

Uniaxial tensile testing at strain rates ranging from 10−3 to 10−1 s−1 was carried out to study the rate-dependent mechanical behavior for poly(ethylene terephthalate) (PET) used in the packaging industry. The experimental results show that a rate-dependent plastic behavior exists for PET material. The value of the yield strength was found to increase with the increasing strain rate. A new constitutive model based on the improved Cowper-Symonds rate-dependent constitutive model is proposed to describe the mechanical behavior of PET material in the strain rate ranging from 10−3 to 10−1 s−1, providing more accurate material data for the subsequent simulation analysis of drop test and dynamic buckling. The predictions obtained using the proposed model are compared with experimental results of the improved Cowper-Symonds model. The simulating results of the proposed model agree well with the experimental data. For a low strain rate, the predictions of this model are more precise than those obtained using the improved Cowper-Symonds model. This confirms that the new constitutive model is suitable for describing the mechanical behavior of PET material at a low strain rate and modeling impact problem.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]Bodner, S.R., Partom, Y., 1975. Constitutive equations for elastic-viscoplastic strain-hardening materials. Journal of Applied Mechanics, 42(2):385-389.

[2]Chittepu, B., Hörmann, M., Stelzmann, U., Wels, H., Albrecht, T., 2009. Deformation Behaviour of Filled and Capped PET Bottles in the High-speed Labeling Machine. 7th European LS-DYNA Conference, Salzburg, Austria.

[3]Cowper, G.R., Symond, P.S., 1957. Strain Hardening and Strain Rate Effects in the Impact Loading of Cantilever Beams. Applied Mathematics Report No. 28, Brown University, Providence, Rhode Island, USA.

[4]Dean, G., Read, B., 2001. Modeling the behavior of plastics for design under impact. Polymer Testing, 20(6):677-683.

[5]Durrenberger, L., Molinari, A., Rusinek, A., 2007. Internal variable modeling of the high strain-rate behavior of metals with applications to multiphase steels. Material Science and Engineering: A, 478(1-2):297-304.

[6]GB/T 1040.1-2006. Plastics—Determination of Tensile Properties—Part 1: General Principles. Chinese Standard Press, Beijing, China (in Chinese).

[7]GB/T 1040.3-2006. Plastics—Determination of Tensile Properties—Part 3: Test Conditions for Films and Sheets. Chinese Standard Press, Beijing, China (in Chinese).

[8]Johnson, G.R., Cook, W.H., 1983. A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures. Proceedings of the 7th International Symposium on Ballistics, the Hague, the Netherlands, p.541-547.

[9]Karac, A., 2003. Drop Impact of Fluid-filled Polyethylene Containers. PhD Thesis, Imperial College London, London, UK.

[10]Karalekas, D., Rapti, D., Papakaliatakis, G., Tsartolia, E., 2001. Numerical and experimental investigation of the deformational behaviour of plastic container. Packaging Technology and Science, 14(5):185-191.

[11]Khan, A.S., Huang, S., 1992. Experimental and theoretical study of mechanical behavior of 1100 aluminum in the strain rate range 10−5–104 s−1. International Journal of Plasticity, 8(4):397-424.

[12]Li, J.J., Xuan, H.J., Liao, L.F., Hong, W.R., Wu, R.R., 2009. Penetration of disk fragments following impact on thin plate. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 10(5):677-684.

[13]Liang, R., Khan, A.S., 1999. A critical review of experimental results and constitutive models for BCC and FCC metals over a wide range of strain rates and temperatures. International Journal of Plasticity, 15(9):963-980.

[14]Ludwik, P., 1909. Elemente der Technologischen Mechanik, Julius Springer, Berlin, p.32 (in German).

[15]Morrison, E.D., Malvey, M.W., Johnson, R.D., Hutchison, J.S., 2010. Mechanism of stress cracking of poly(ethylene terephthalate) beverage bottles: a method for the prevention of stress cracking based on water hardness. Polymer Degradation and Stability, 95(5):656-665.

[16]QB/T 1868-2004. Polyethylene Terephthalate (PET) Bottle for Carbonation Drink. China Light Industry Press, Beijing, China (in Chinese).

[17]Rusinek, A., Klepaczko, J.R., 2001. Shear testing of sheet steel at wide range of strain rates and a constitutive relation with strain-rate and temperature dependence of the flow stress. International Journal of Plasticity, 17(1):87-115.

[18]Rusinek, A., Zaera, R., Klepaczko, J.R., 2007. Constitutive relations in 3-D for a wide range of strain rates and temperatures: application to mild steels. International Journal of Solids and Structures, 44(17):5611-5634.

[19]Suvanjumrat, C., Thusneyapan, S., Puttapitukporn, T., 2007. A suitable mathematical model of PET for FEA drop-test analysis. KMITL Science Journal, 7:6-17.

[20]van Dijk, R., Sterk, J.C., Sgorbani, D., van Keulen, F., 1998. Lateral deformation of plastic bottles: experiments, simulations and prevention. Packaging Technology and Science, 11(3):91-117.

[21]Voyiadjis, G.Z., Almasri, A.H., 2008. A physically based constitutive model for FCC metals with applications to dynamic hardness. Mechanics of Materials, 40(6):549-563. [doi:10.1016/j.mechmat.2007.11.008]

[22]Yang, Z.J., Harkin-Jones, E., Menary, G.H., Armstrong, C.G., 2004. A non-isothermal finite element model for injection stretch-blow molding of PET bottles with parameters studies. Polymer Engineering and Science, 44(7):1379-1390.

[23]Yu, H., Guo, Y., Lai, X., 2008. Rate-dependent behavior and constitutive model of DP600 steel at strain rate from 10−4 to 103 s−1. Materials and Design, 30(7):2501-2505.

[24]Zaroulis, J.S., Boyce, M.C., 1997. Temperature, strain rate, and strain state dependence of the evolution in mechanical behavior and structure of poly(ethylene terephthalate) with finite strain deformation. Polymer, 38(6):1303-1315.

[25]Zerilli, F.J., Armstrong, R.W., 1987. Disolation-mechanics-based constitutive relations for material dynamics calculations. Journal of Applied Physics, 61(5):1816-1825.

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