Computational mechanical property determination of viscoelastic/plastic materials from nanoindentation creep test data

Journal of Materials Research

Volumn 24, Issue 3, 2009, Pages 1245-1257

  Wang, Jianjun ^a   Ovaert, Timothy C ^b  

^a ABB INC   (United States)

^b University of Notre Dame   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTACT DEFORMATIONS; CREEP TESTS; EXECUTABLE PROGRAMS; FAST CONVERGENCES; FINITE ELEMENT FORMULATIONS; GRADIENT-BASED OPTIMIZATIONS; INITIAL SOLUTIONS; INVERSE ENGINEERINGS; MATERIAL CHARACTERIZATIONS; MATERIAL MODELS; MATERIALS CHARACTERIZATIONS; MODEL DEVELOPMENT; MODELING TOOLS; OPTIMIZATION PROBLEMS; RAPID CONVERGENCES; STAND -ALONE; TEST DATUM; TEST METHODS; THREE-PARAMETER MODELS; UNKNOWN PARAMETERS; VERSATILE TOOLS;

COMPUTATIONAL MECHANICS; CONVERGENCE OF NUMERICAL METHODS; HEURISTIC ALGORITHMS; MATERIALS PROPERTIES; NANOINDENTATION; OPTIMIZATION; PARAMETER ESTIMATION; TEST FACILITIES;

MECHANICAL PROPERTIES;

EID: 63149151179     PISSN: 08842914     EISSN: None     Source Type: Journal    
DOI: 10.1557/jmr.2009.0141     Document Type: Article

References (38)

1. W.C. Oliver and G.M. Pharr: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).
2. I.N. Sneddon: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).
3. L.L. Cheng, X. Xia, L.E. Scriven, and W.W. Gerberich: Spherical tip indentation of a viscoelastic material. Mech. Mater. 37, 213 (2005).
4. C.Y. Zhang, Y.W. Zhang, K.Y. Zeng, and L. Shen: Nanoindentation of polymers with a sharp indenter. J. Mater. Res. 20, 1597 (2005).
5. L.L. Cheng, X. Xia, W. Yu, L.E. Scriven, and W.W. Gerberich: Flat-punch indentation of viscoelastic material. J. Polym. Sci., Part B: Polym. Phys. 38, 10 (2000).
6. M.L. Oyen and R.F. Cook: Load-displacement behavior during sharp indentation of viscous-elastic-plastic materials. J. Mater. Res. 18, 139 (2003).
7. N. Huber and E. Tyulyukovskiy: A new loading history for identification of viscoplastic properties by spherical indentation. J. Mater. Res. 19, 101 (2004).
8. P.J. Weia and J.F. Lin: Determination for elasticity and plasticity from time-dependent nanoindentations. Mater. Sci. Eng., A 496, 90 (2008).
9. J. Menèík, G. Rauchs, J. Bardon, and A. Riche: Determination of elastic modulus and hardness of viscoelastic-plastic materials by instrumented indentation under harmonic load. J. Mater. Res. 20, 2660 (2005).
10. C.Y. Zhang, Y.W. Zhang, K. Zeng, and L. Shen: Characterization of mechanical properties of polymers by nanoindentation tests. Philos. Mag. 86, 4487 (2006).
11. A.E. Giannakopoulos and S. Suresh: Determination of elastoplastic properties by instrumented sharp indentation. Scr. Mater. 40, 1191 (1999).
12. C. Cailletaud and P. Pilvin: Identification and inverse problems related to material behavior, in Inverse Problems in Engineering Mechanics (Balkema, Rotterdam, 1994).
13. A. Gavrus, E. Massoni, and J.L. Chenot: Computer aided rheology for nonlinear large strain thermo-viscoplastic behaviour formulated as an inverse problem, in Inverse Problems in Engineering Mechanics (Balkema, Rotterdam, 1994).
14. R. Mahnken and E. Stein: A unified approach for parameter identification of inelastic material models in the frame of the finite element method. Comput. Methods Appl. Mech. Eng. 136, 225 (1996).
15. ABAQUS Theory Manual, V6.5, ABAQUS Inc., Providence, RI, 2004.
16. T.A. Laursen and J.C. Simo: A continuum-based finite element formulation for the implicit solution of multi-body, large deformation frictional contact problems. Int. J. Numer. Methods Eng. 36, 3451 (1993).
17. M. Kleiber, H. Antunez, T.D. Hien, and P. Kowalczyk: Parameter Sensitivity in Nonlinear Mechanics: Theory and Finite Element Computations (Wiley, New York, 1997).
18. J. Bonet and R.D. Wood: Nonlinear Continuum Mechanics for Finite Element Analysis (Cambridge University Press, Cambridge, UK, 1997).
19. K-J. Bathe: Finite Element Procedures in Engineering Analysis (Prentice Hall, Upper Saddle River, NJ, 1982).
20. T.J.R. Hughes: The Finite Element Method (Prentice Hall, Upper Saddle River, NJ, 1985).
21. J.C. Simo, F. Armero, and R.L. Taylor: Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems. Comput. Methods Appl. Mech. Eng. 110, 359 (1993).
22. T.C. Ovaert, B.R. Kim, and J. Wang: Multi-parameter models of the viscoelastic/plastic mechanical properties of coatings via combined nanoindentation and non-linear finite element modeling. Prog. Org. Coat. 47, 312 (2003).
23. J. Zhang, G.L. Niebur, and T.C. Ovaert: Mechanical property determination of bone through nano- and micro-indentation testing and finite element simulation. J. Biomech. 41, 267 (2008).
24. J.C. Simo and T.J.R. Hughes: Computational Inelasticity (Springer Verlag, New York, 1998).
25. N. Kikuchi and J.T. Oden: Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Method (SIAM, Philadelphia, 1988).
26. C.O. Spivey and D.A. Tortorelli: Tangent operators, sensitivity expressions, and optimal design of non-linear elastica with applications to beams. Int. J. Numer. Methods Eng. 37, 49 (1994).
27. H.J. Antunez and M. Kleiber: Sensitivity analysis of metal forming process involving frictional contact in steady state. J. Mater. Process. Technol. 60, 485 (1996).
28. G.D. Pollock and A.K. Noor: Sensitivity analysis of the contact/impact response of composite structures. Compos. Struct. 61, 251 (1996).
29. L. Karaoglan and A.K. Noor: Dynamic sensitivity analysis of frictional contact/impact response of axisymmetric composite structures. Comput. Methods Appl. Mech. Eng. 128, 169 (1995).
30. N. Huber and Ch. Tsakmakis: Determination of constitutive properties from spherical indentation data using neural networks. Part I: The case of pure kinematic hardening in plasticity laws. J. Mech. Phys. Solids 47, 1569 (1999).
31. N. Huber and Ch. Tsakmakis: Determination of constitutive properties from spherical indentation data using neural networks. Part II: Plasticity with nonlinear isotropic and kinematic hardening. J. Mech. Phys. Solids 47, 1589 (1999).
32. J.E. Dennis, Jr. and R.B. Schnabel: Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentice Hall, Upper Saddle River, NJ, 1983).
33. R.H. Byrd, P. Lu, J. Nocedal, and C. Zhu: A limited memory algorithm for bound constrained optimization. SIAM J. Sci. Comput. 16, 1190 (1995).
34. J.J. More and D.J. Thuente: Line search algorithms with guaranteed sufficient decrease. ACM Trans. Math. Softw. 20, 286 (1994).
35. M. Ahmad: Flexible vinyl resiliency property enhancement with hollow thermoplastic microspheres. J. Vinyl Additive Tech. 7, 156 (2001).
36. H. Kobayashi, I. Kodama, and T. Nashima: New apparatus for measuring ultrahigh viscosity of plastics. Jpn. J. Appl. Phys. 46, 7959 (2007).
37. H. Kobayashi, H. Takahashi, and Y. Hiki: A new apparatus for measuring high viscosity of solids. Int. J. Thermophys. 16, 577 (1995).
38. M. Yamaguchi: Rheological properties of linear and crosslinked polymer blends: Relation between crosslink density and enhancement of elongational viscosity. J. Polym. Sci. B: Polym. Phys. 39, 228 (2001).