Extraction of stress-strain curves of elastic-viscoplastic solids using conical/pyramidal indentation testing with application to polymers

Mechanics of Materials

Volumn 40, Issue 4-5, 2008, Pages 271-283

  Kermouche, G ^a   Loubet, J L ^a   Bergheau, J M ^a  

^a LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

Cone indentation; Polymeric materials; Representative strain rate; Time dependent behaviour

Indexed keywords

NANOINDENTATION; POLYMERS; STRAIN RATE; STRESS ANALYSIS;

CONE INDENTATION; REPRESENTATIVE STRAIN RATE;

COATINGS;

EID: 37349132445     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2007.08.003     Document Type: Article

References (35)

1. Arruda E., and Boyce M. Evolution of plastic anisotropy in amorphous polymers during finite straining. Int. J. Plast. 9 (1993) 697-720
2. Arruda E., Boyce M., and Jayachandran R. Effects of strain rate,temperature and thermomechanical coupling on the finite strain deformation of glassy polymers. Mech. Mater. 19 (1995) 193-212
3. Bec S., Tonck A., Georges J.-M., Georges E., and Loubet J.-L. Improvements in the indentation method with a surface force apparatus. Phil. Mag. A. 74 (1996) 1061-1072
4. Bertrand-Lambotte P., Loubet J.-L., Verpy C., and Pavan S. Nanoindentation, scratching and atomic force microscopy for evaluating the mar resistance of automative clearcoats: study of the ductile scratches. Thin Solid Films 398-399 (2001) 306-312
5. Bucaille, J., 2001. Simulation numrique de l'indentation et de la rayure des verres organiques. PhD Thesis, ENSMP.
6. Bucaille J., Felder E., and Hochstetter G. Identification of the viscoplastic behavior of a polycarbonate based on experiments and numerical modeling of the nanoindentation test. J. Mat. Sci. 37 (2001) 3999-4011
7. Bucaille J.-L., Stauss S., Felder E., and Michler J. Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Act. Mat. 447 (2003) 1663-1678
8. Cheng Y.-T., and Cheng C.-M. Scaling, dimensional analysis, and indentation measurements. Mat. Sci. Eng. 44 (2004) 91-149
9. Dao M., Chollacoop N., Van Vliet K.-J., Ventakesh T.-A., and Suresh S. Computational modeling of the forward and reverse problems in instrumented sharp indentation. Act. Mat. 49 (2001) 3899-3918
10. Dupaix R., and Boyce M. Constitutive modeling of the finite strain behavior of amorphous polymers in and above the glass transition. Mech. Mater. 39 (2007) 39-52
11. G'sell C., and Hiver J. Experimental characterization of deformation damage in solid polymers under tension, and its interrelation with neckling. Int. J. Solids Struct. 39 (2002) 3857-3872
12. G'sell C., and Jonas J. Determination of the plastic behavior of solid polymer at constant true strain rate. J. Mat. Sci. 14 (1979) 583-591
13. Hill R. The Mathematical Theory of Plasticity (1950), Oxford Press
14. Hill R. Similarity analysis of creep indentation tests. Proc. R. Soc. Lond. A 436 (1992) 617-630
15. Hill R., Storakers B., and Zdunek A.-B. A theoretical study of the brinell hardness test. Proc. R. Soc. Lond. A 423 (1989) 301-330
16. Johnson K.-L. The correlation of indentation experiments. J. Mech. Phys. Solids 18 (1970) 115-126
17. Johnson K.-L. Contact Mechanics (1985), Cambridge University Press
18. Kermouche G., Loubet J.-L., and Bergheau J.-M. An approximate solution for the problem of cone or wedge indentation of elastoplastic solids. C. R. Mec. 333 (2005) 389-395
19. Kermouche G., Loubet J.-L., and Bergheau J.-M. A new index to estimate the strain rate sensitivity of glassy polymers using conical/pyramidal indentation. Phil. Mag. A 86 (2006) 5667-5677
20. Kermouche G., Loubet J.-L., and Bergheau J.-M. Cone indentation of time-dependent materials: the effects of the indentation strain rate. Mech. Mater. 39 (2007) 24-38
21. Larsson P. Investigation of sharp contact at rigid-plastic conditions. Int. J. Mat. Sci. 43 (2001) 895-920
22. Lemaitre J., and Chaboche J.-L. Mechanics of Solid Materials (1996), Cambridge University Press
23. Lockett F.-J. Indentation of a rigid/plastic material by a conical indenter. J. Mech. Phys. Solids 11 (1963) 161-175
24. Loubet J.-L., Bauer M., Tonck A., Bec S., and Gauthier-Manuel B. Nanoindentation with a surface force apparatus. Mechanical Properties and Deformation of Materials having a Ultra-fine Microstructures (1993), Kluwer Academic Publishers pp. 429-447
25. Loubet J.-L., Georges J.-M., and Meille G. Vickers indentation curves of elastoplastic materials. In: Balu P.J., and Lawn B.R. (Eds). Microindentation Techniques in Material Science and Engineering (1986), American Society for Testing and Materials, Philadelphia 72-89
26. Loubet J.-L., Oliver W.-C., and Lucas B.-N. Measurement of the loss tangent of low-density polyethylene with a nanoindentation technique. J. Mat. Res. 15 (2000) 1195-1198
27. Lucas B., Oliver W., Pharr G., and Loubet J. Time-dependent deformation during indentation testing. Mater. Res. Soc. Symp. Proc. 436 (1997) 233-238
28. Oliver W.-C., and Pharr G. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mat. Res. 7 (1992) 1564-1583
29. Oliver W.-C., and Pharr G. Measurement of hardness and elastic modulus by instrumented indentation: advances in understanding and refinements to methodology. J. Mat. Res. 19 (2004) 3-20
30. Rittel D. An investigation of the heat generated during cyclic loading of two glassy polymers. Part 1: experimental. Mech. Mater. 32 (2000) 131-147
31. Sneddon I.-N. The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3 (1965) 47-57
32. Systus/Sysweld, 2004. User's Manual. ESI Group.
33. Tabor D. The Hardness of Metals (1951), Clarendon Press
34. Tabor D. The hardness of solids. J. App. Phys. 145 (1971) 179
35. Van Melick H., Govaert L., and Meijer H. On the origin of strain softening. Polymer 44 (2004) 2493-2502