Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Enhanced Spherical Indentation Techniques for Property Evaluation

향상된 구형 압입 물성평가법

  • 이형일 (서강대학교 기계공학과) ;
  • 이진행 (서강대학교 대학원 기계공학과)
  • Published : 2007.04.01
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Abstract

In this work, indentation theory of Lee $et al.^{(1)}$ for 6% indentation of indenter diameter is extended to an indentation theory for 20% indentation. For shallow indentation, the effect of friction on load-depth curve is negligible, but different materials can show nearly identical load-depth curves. On the basis of this observation, a new numerical approach to deep indentation techniques is proposed by examining the finite element solutions. With this new approach, from the load-depth curve, we obtain stress-strain curve and the values of Young's modulus, yield strength and strain-hardening exponent with an average error of less than 3%.

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References

  1. Lee, H., Lee, J. H. and Pharr, G. M., 2005,'A Numerical Approach to Spherical Indentation Technique for Material Property Evaluation,' Journal of the Mechanics and Physics of Solids, Vol. 53, pp. 2037-2069 https://doi.org/10.1016/j.jmps.2005.04.007
  2. Knapp, J. A., Follstaedt, D. M., Myers, S. M., Barbour, J. C. and Friedmann, T. A., 1999, 'Finite Element Modeling of Nano-indentation,' Journal of Applied Physics, Vol. 85 (3), 1460-474 https://doi.org/10.1063/1.369178
  3. Huber, N. and Tsakmakis, C., 1999, 'Determination of Constitutive Properties from Spherical Indentation Data Using Neural Networks. Part I: The Case of Pure Kinematic Hardening in Plasticity Laws,' Journal of the Mechanics and Physics of Solids, Vol. 47, pp. 1569-1588 https://doi.org/10.1016/S0022-5096(98)00109-4
  4. Huber, N. and Tsakmakis, C., 1999, 'Determination of Constitutive Properties from Spherical Indentation Data Using Neural Networks. Part II: Plasticity with Nonlinear Isotropic and Kinematic Hardening,' Journal of the Mechanics and Physics of Solids, Vol. 47, pp. 1589-1607 https://doi.org/10.1016/S0022-5096(98)00110-0
  5. Nayebi, A., Abdi, R. E. Bartier, O. and Mauvoisin, G., 2002, 'New Procedure to Determine Steel Mechanical Parameters from the Spherical Indentation Technique,' Mechanics of Materials, Vol. 34, pp. 243-254 https://doi.org/10.1016/S0167-6636(02)00113-8
  6. Dao, M., Chollacoop, N., Vliet, J. V., Venkatesh, T. A. and Suresh, S., 2001, 'Computational Modeling of the Forward and Reverse Problems in Instrumented Sharp Indentation,' Acta Materialia, Vol. 49, pp. 3899-3918 https://doi.org/10.1016/S1359-6454(01)00295-6
  7. Cao, Y. P. and Lu. J., 2004, 'A New Method to Extract the Plastic Properties of Metal Materials from an Instrumented Spherical Indentation Loading Curve,' Acta Materialia, Vol. 52, pp. 4023-4032 https://doi.org/10.1016/j.actamat.2004.05.018
  8. Lee, J. H., 2006, A Numerical Approach and Experimental Verification of the Indentation Techniques for Material Property and Residual Stress Evaluation, Ph. D. Thesis, Department of Mechanical Engineering, Sogang University
  9. ABAQUS User's Manual, 2004, Version 6.5, Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI
  10. Rice, J. R. and Rosengren, G. F., 1968,'Plane Strain Deformation Near a Crack-tip in a Power Law Hardening Material,' Journal of the Mechanics and Physics of Solids, Vol. 16, pp. 1-12 https://doi.org/10.1016/0022-5096(68)90013-6
  11. Sneddon, I. N., 1965, 'The Relaxation between Load and Penetration in the Axisymmetric Boussinesq Problem for a Punch of Arbitrary Profile,' International Journal of Engineering Science, Vol. 3, pp. 47-57 https://doi.org/10.1016/0020-7225(65)90019-4
  12. Pharr, G. M., Oliver, W. C. and Brotzen, F. R., 1992, 'On the Generality of the Relationship among Contact Stiffness, Contact Area and Elastic Modulus during Indentation,' Journal of Materials Research, Vol. 7, pp. 613-617 https://doi.org/10.1557/JMR.1992.0613

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  1. A Dual Triangular Pyramidal Indentation Technique Based on FEA Solutions for Material Property Evaluation vol.36, pp.1, 2012, https://doi.org/10.3795/KSME-A.2012.36.1.017
  2. A Conical Indentation Technique Based on FEA Solutions for Property Evaluation vol.33, pp.9, 2009, https://doi.org/10.3795/KSME-A.2009.33.9.859