Abstract
Scratching of polymeric coatings on hard substrates is studied experimentally and numerically from a mechanical point of view. In particular, the behavior of local and global mechanical properties, as well as the delamination behavior, at scratching due to pressure-sensitive effects is of interest. The numerical investigation is performed using the finite element method (FEM) where pressure sensitivity is modeled using the classical Drucker–Prager plasticity model (Drucker, Prager, Q. Appl. Math., 10 157–165 (1952)) while the adhesion of the coating to the substrate is modeled as a cohesive zone where relevant model parameters are determined experimentally using the double cantilever beam test with uneven bending moments (DCB-UBM). Good correlation between experimental and numerical results were achieved and the most important finding concerns the fact that the dependence of pressure sensitivity proved to be different for different mechanical quantities.
Similar content being viewed by others
References
Bhattachharya, AK, Nix, WD, “Finite Element Simulation of Indentation Experiments.” Int. J. Solids Struct., 24 881–891 (1988)
Bhattachharya, AK, Nix, WD, “Analysis of Elastic and Plastic Deformation Associated with Indentation Testing of Thin Films on Substrates.” Int. J. Solids Struct., 24 1287–1298 (1988)
Laursen, TA, Simo, JC, “A Study of the Mechanics of Microindentation Using Finite Elements.” J. Mater. Res., 7 618–626 (1992)
Giannakopoulos, AE, Larsson, PL, Vestergaard, R, “Analysis of Vickers Indentation.” Int. J. Solids Struct., 31 2679–2708 (1994)
Larsson, PL, Giannakopoulos, AE, Söderlund, E, Rowcliffe, DJ, Vestergaard, R, “Analysis of Berkovich Indentation.” Int. J. Solids Struct., 33 221–248 (1996)
Giannakopoulos, AE, Larsson, PL, “Analysis of Pyramid Indentation of Pressure-Sensitive Hard Metals and Ceramics.” Mech. Mater., 25 1–35 (1997)
Larsson, PL, Giannakopoulos, AE, “Tensile Stresses and Their Implication to Cracking at Pyramid Indentation of Pressure-Sensitive Hard Metals and Ceramics.” Mater. Sci. Eng. A, 254 268–281 (1998)
Wang, HF, Yang, X, Bangert, H, Torzicky, P, Wen, L, “Two-Dimensional FEM Simulation of Vickers Indentation of Hardness Measurements.” Thin Solid Films, 214 68–73 (1992)
Cai, X, Bangert, H, “Hardness Measurements of Thin Films: Determining the Critical Ratio of Depth to Thickness Using FEM.” Thin Solid Films, 264 59–71 (1995)
Sun, Y, Bell, T, Zheng, S, “Finite-Element Analysis of the Critical Ratio of Coating Thickness to Indentation Depth for Coating Property Measurements by Nanoindentation.” Thin Solid Films, 258 198–204 (1995)
Knapp, JA, Follstaed, DM, Myers, SM, Barbour, JC, Friedmann, TA, “Finite-Element Modeling of Nanoindentaion.” J. Appl. Phys., 85 1460–1474 (1999)
Larsson, PL, Peterson, IRM, “Evaluation of Sharp Indentation Testing of Thin Films and Ribbons on Hard Substrate.” J. Test. Eval., 30 64–73 (2002)
Bucaille, JL, Felder, E, Hochstetter, G, “Mechanical Analysis of the Scratch Test on Elastic and Perfectly Plastic Materials with Three-Dimensional Finite Element Modeling.” Wear, 249 422–432 (2001)
Johnson, KL, “The Correlation of Indentation Experiments.” J. Mech. Phys. Solids, 18 115–126 (1970)
Larsson, PL, “On the Mechanical Behavior of Global Parameters in Material Characterization by Sharp Indentation Testing.” J. Test. Eval., 32 310–321 (2004)
Wredenberg, F, Larsson, PL, “On the Numerics and Correlation of Scratch Testing.” J. Mech. Mater. Struct., 2 573–594 (2007)
Wredenberg, F, Larsson, PL, “Scratch Testing of Metals and Polymers—Experiments and Numerics.” Wear, 266 76–83 (2009)
Benjamin, P, Weaver, C, “Measurement of Adhesion of Thin Films.” Proc. R. Soc. Lond. A Math. Phys. Sci., 254 163–176 (1960)
Bull, SJ, “Failure Modes in Scratch Adhesion Testing.” Surf. Coat. Technol., 50 25–32 (1991)
Frey, N, Mettraux, P, Zambelli, G, Landolt, D, “Modified Scratch Test for Study of the Adhesion of Ductile Coatings.” Surf. Coat. Technol., 63 167–172 (1993)
Thouless, MD, “An Analysis of Spalling in the Microscratch Test.” Eng. Fract. Mech., 61 75–81 (1998)
Malzbender, J, de With, G, “Scratch Testing of Hybrid Coatings of Float Glass.” Surf. Coat. Technol., 135 202–207 (2001)
Holmberg, K, Laukkanen, A, Ronkainen, H, Wallin, K, Varjus, S, “A Model for Stresses, Crack Generation and Fracture Toughness Calculation in Scratched Tin-Coated Steel Surfaces.” Wear, 254 278–291 (2003)
Larsson, PL, Wredenberg, F, “On Indentation and Scratching of Thin Films on Hard Substrates.” J. Phys. D Appl. Phys., 41 074022 (2008)
Wredenberg, F, Larsson, PL, “On the Effect of Substrate Deformation at Scratching of Soft Thin Film Composites.” Report, KTH Solid Mechanics, SE-10044. Stockholm, Sweden (2008)
Briscoe, BJ, Evans, PD, Biswas, SK, Sinha, SK, “The Hardness of Poly(methylmethacrylate).” Tribol. Int., 29 93–104 (1996)
Yueguang, W, Manhong, Z, Shan, T, “Characterization of the Fracture Work for Ductile Film Undergoing the Micro-Scratch.” Acta Mech. Sinica, 18 494–505 (2002)
Wredenberg, F, Larsson, PL, “Delamination of Thin Coatings at Scratching—Experiments and Numerics.” Report 456, KTH Solid Mechanics, SE-10044. Stockholm, Sweden (2008). Accepted for publication in J. Mech. Mater. Struct.
Spitzig, WA, Richmond, O, “Effect of Hydrostatic Pressure on the Deformation Behavior of Polyethylene and Polycarbonate in Tension and Compression.” Polym. Eng. Sci., 19 1129–1139 (1979)
Spitzig, WA, Richmond, O, “The Effect of Pressure on the Flow Stress of Metals.” Acta Metall., 32 457–463 (1984)
Francis, LF, McCormick, AV, Vaessen, DM, “Development and Measurement of Stress in Polymer Coatings.” J. Mater. Sci., 37 4717–4731 (2002)
Drucker, DC, Prager, W, “Soil Mechanics and Plastic Analysis or Limit Design.” Q. Appl. Math., 10 157–165 (1952)
Hutchinson, JW, Suo, Z, “Mixed Mode Cracking in Layered Materials.” Adv. Appl. Mech., 29 63–191 (1992)
Sørensen, BF, Jacobsen, TK, “Determination of Cohesive Laws by the J Integral Approach.” Eng. Fract. Mech., 70 1841–1858 (2003)
Sørensen, BF, Jørgensen, K, Jacobsen, TK, Østergaard, RC, “Dcb-Specimen Loaded with Uneven Bending Moments.” Int. J. Fract., 141 163–176 (2006)
Xu, XP, Needleman, A, “Numerical Simulations of Fast Crack Growth in Brittle Solids.” J. Mech. Phys. Solids, 42 1397–1434 (1994)
Needleman, A, “A Continuum Model for Void Nucleation by Inclusion Debonding.” J. Appl. Mech., 54 523–531 (1990)
Ortiz, M, Pandolfi, A, “Finite-Deformation Irreversible Cohesive Elements for Three-Dimensional Crack-Propagation Analysis.” Int. J. Numer. Methods Eng., 44 1267–1282 (1999)
ABAQUS, ABAQUS Manual v.6.7. Hibbit, Karlsson & Sorensen, Inc., Pawtucket, RI (2008)
Williams, JA, “Analytical Models of Scratch Hardness.” Tribol. Int., 29 675–694 (1996)
Carlsson, S, Biwa, S, Larsson, PL, “On Frictional Effects at Inelastic Contact Between Spherical Bodies.” Int. J. Mech. Sci., 42 107–128 (2000)
Nilsson, KF, Thesken, JC, Sindelar, P, Giannakopoulos, AE, Storåkers, B, “A Theoretical and Experimental Investigation of Buckling Induced Delamination Growth.” J. Mech. Phys. Solids, 41 749–782 (1993)
Larsson, PL, “On Delamination Buckling and Growth in Circular and Annular Orthotropic Plates.” Int. J. Solids Struct., 27 15–28 (1991)
Martin, E, Poitou, B, Leguillon, D, Gatt, JM, “Competition Between Deflection and Penetration at an Interface in the Vicinity of a Main Crack.” Int. J. Fract., 151 247–268 (2008)
Acknowledgment
The authors would like to acknowledge the financial support received through grant #621-2005-5803 from the Swedish Research Council.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wredenberg, F., Larsson, PL. On scratch testing of pressure-sensitive polymeric coatings. J Coat Technol Res 7, 279–290 (2010). https://doi.org/10.1007/s11998-009-9202-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11998-009-9202-4