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An instrumented indentation method for evaluating the effect of hydrostatic pressure on the yield strength of solid polymers

Published online by Cambridge University Press:  17 November 2014

Guangjian Peng ,
Yihui Feng ,
Donghui Wen  and
Taihua Zhang
Guangjian Peng
Affiliation:
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China
Yihui Feng
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Donghui Wen
Affiliation:
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China
Taihua Zhang*
Affiliation:
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China
*
a)Address all correspondence to this author. e-mail: zhangth@zjut.edu.cn
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Abstract

The yield behavior of solid polymers may be influenced by the hydrostatic pressure, strain rate, and temperature. In the present work, we focus on evaluating the effect of hydrostatic pressure on the yield strength by instrumented indentation. Using dimensional analysis and finite element analysis, two analytical expressions were derived to relate the indentation data to the plastic properties, and a method for extracting the coefficient of internal friction which reflects the effect of hydrostatic pressure on the yield strength was established. Applications were illustrated on polypropylene (PP), polycarbonate (PC), and unplasticized polyvinyl chloride (UPVC). The coefficient of internal friction determined by this indentation method is 0.20 ± 0.02 for PP, 0.07 ± 0.01 for PC, and 0.10 ± 0.01 for UPVC, which are in good agreement with the values reported in the literature. This demonstrates the proposed indentation method which is useful to evaluate the effect of hydrostatic pressure on the yield strength of solid polymers.

Type
Articles
Information
Journal of Materials Research , Volume 29 , Issue 24 , 28 December 2014 , pp. 2973 - 2981
Copyright
Copyright © Materials Research Society 2014 

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References

REFERENCES

Mears, D.R., Pae, K.D., and Sauer, J.A.: Effects of hydrostatic pressure on the mechanical behavior of polyethylene and polypropylene. J. Appl. Phys. 40, 4229 (1969).Google Scholar
Rabinowitz, S., Ward, I.M., and Parry, J.S.C.: Effect of hydrostatic pressure on shear yield behaviour of polymers. J. Mater. Sci. 5, 29 (1970).Google Scholar
Pae, K.D. and Bhateja, S.K.: The effects of hydrostatic pressure on the mechanical behavior of polymers. J. Macromol. Sci., Polym. Rev. 13, 1 (1975).CrossRefGoogle Scholar
Silano, A.A., Pae, K.D., and Sauer, J.A.: Effects of hydrostatic pressure on shear deformation of polymers. J. Appl. Phys. 48, 4076 (1977).CrossRefGoogle Scholar
Hoppel, C.P.R., Bogetti, T.A., and Gillespie, J.W.: Literature review – Effects of hydrostatic pressure on the mechanical behavior of composite materials. J. Thermoplast. Compos. Mater. 8, 375 (1995).CrossRefGoogle Scholar
Quinson, R., Perez, J., Rink, M., and Pavan, A.: Yield criteria for amorphous glassy polymers. J. Mater. Sci. 32, 1371 (1997).Google Scholar
Drucker, D. and Prager, W.: Soil mechanics and plastic analysis or limit design. Q. Appl. Math. 10, 157 (1952).Google Scholar
Sauer, J.A., Mears, D.R., and Pae, K.D.: Effects of hydrostatic pressure on the mechanical behaviour of polytetrafluoroethylene and polycarbonate. Eur. Polym. J. 6, 1015 (1970).CrossRefGoogle Scholar
Christiansen, A.W., Baer, E., and Radcliffe, S.V.: The mechanical behaviour of polymers under high pressure. Philos. Mag. 24, 451 (1971).Google Scholar
Bardia, P. and Narasimhan, R.: Characterisation of pressure-sensitive yielding in polymers. Strain 42, 187 (2006).Google Scholar
Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).Google Scholar
Dao, M., Chollacoop, N., Vliet, K.J.V., Venkatesh, T.A., and Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).CrossRefGoogle Scholar
Bucaille, J.L., Stauss, S., Felder, E., and Michler, J.: Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 51, 1663 (2003).Google Scholar
Chollacoop, N., Dao, M., and Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).Google Scholar
Ma, D., Ong, C.W., Lu, J., and He, J.: Methodology for the evaluation of yield strength and hardening behavior of metallic materials by indentation with spherical tip. J. Appl. Phys. 94, 288 (2003).Google Scholar
Jiang, P., Zhang, T.H., Feng, Y.H., Yang, R., and Liang, N.G.: Determination of plastic properties by instrumented spherical indentation: Expanding cavity model and similarity solution approach. J. Mater. Res. 24, 1045 (2009).Google Scholar
Cao, Y.P., Qian, X.Q., Lu, J., and Yao, Z.H.: An energy-based method to extract plastic properties of metal materials from conical indentation tests. J. Mater. Res. 20, 1194 (2011).Google Scholar
Oyen, M.L. and Cook, R.F.: Load–displacement behavior during sharp indentation of viscous–elastic–plastic materials. J. Mater. Res. 18, 139 (2003).Google Scholar
Zhang, C.Y., Zhang, Y.W., Zeng, K.Y., and Shen, L.: Characterization of mechanical properties of polymers by nanoindentation tests. Philos. Mag. 86, 4487 (2006).CrossRefGoogle Scholar
Seltzer, R. and Mai, Y.: Depth sensing indentation of linear viscoelastic–plastic solids: A simple method to determine creep compliance. Eng. Fract. Mech. 75, 4852 (2008).Google Scholar
Menčík, J., He, L.H., and Němeček, J.: Characterization of viscoelastic-plastic properties of solid polymers by instrumented indentation. Polym. Test. 30, 101 (2011).Google Scholar
Peng, G.J., Feng, Y.H., Huan, Y., and Zhang, T.H.: Characterization of the viscoelastic-plastic properties of UPVC by instrumented sharp indentation. Polym. Test. 32, 1358 (2013).Google Scholar
Seltzer, R., Cisilino, A.P., Frontini, P.M., and Mai, Y-W.: Determination of the Drucker–Prager parameters of polymers exhibiting pressure-sensitive plastic behaviour by depth-sensing indentation. Int. J. Mech. Sci. 53, 471 (2011).Google Scholar
Oyen, M.L.: Spherical indentation creep following ramp loading. J. Mater. Res. 20, 2094 (2005).CrossRefGoogle Scholar
Feng, G. and Ngan, A.H.W.: Effects of creep and thermal drift on modulus measurement using depth-sensing indentation. J. Mater. Res. 17, 660 (2002).CrossRefGoogle Scholar
Brand, L.: The Pi theorem of dimensional analysis. Arch. Ration. Mech. Anal. 1, 35 (1957).CrossRefGoogle Scholar
Peng, G.J., Zhang, T.H., Feng, Y.H., and Yang, R.: Determination of shear creep compliance of linear viscoelastic solids by instrumented indentation when the contact area has a single maximum. J. Mater. Res. 27, 1565 (2012).Google Scholar
Tang, B. and Ngan, A.H.W.: Accurate measurement of tip–sample contact size during nanoindentation of viscoelastic materials. J. Mater. Res. 18, 1141 (2003).Google Scholar
Cheng, Y.T. and Cheng, C.M.: Can stress-strain relationships be obtained from indentation curves using conical and pyramidal indenters? J. Mater. Res. 14, 3493 (1999).Google Scholar
Peng, G.J., Zhang, T.H., Feng, Y.H., and Huan, Y.: Determination of shear creep compliance of linear viscoelastic-plastic solids by instrumented indentation. Polym. Test. 31, 1038 (2012).CrossRefGoogle Scholar
Pae, K.D.: The macroscopic yielding behaviour of polymers in multiaxial stress fields. J. Mater. Sci. 12, 1209 (1977).Google Scholar