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Performance analysis of spherical indentation process during loading and unloading - a contact mechanics approach

  • Gandhi, V.C. Sathish (Department of Mechanical Engineering, University College of Engineering Ariyalur, (A constituent College of Anna University, Chennai)) ;
  • Kumaravelan, R. (Department of Mechanical Engineering, Velalar College of Engineering and Technology) ;
  • Ramesh, S. (Department of Mechanical Engineering, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College)
  • Received : 2014.01.17
  • Accepted : 2014.04.28
  • Published : 2014.11.10

Abstract

In an indentation approach, the smooth rigid spherical ball penetrated into a deformable flat is considered for the study based on contact mechanics approach. The elastic-plastic frictionless spherical indentation analysis has been under taken in the finite element analysis using "ABAQUS" and experimental study. The spherical indentation has been studied for the materials like steel, aluminium, copper and brass with an identical spherical indenter for diverse indentation depths. The springback analysis is executed for studying the actual indentation depth after the indenter is unloaded. In the springback simulation, the material recovers its elastic deformation after the indenter is unloaded. The residual diameter and depth of an indentation for various materials are measured and compared with simulation results. It shows a good agreement between the simulation and an experimental studies.

Keywords

References

  1. Ahn, J.H. and Kwon, D. (2001), "Derivation of plastic stress-strain relationship from ball indentation: Examination of strain definition and pileup effect", J. Mater. Res., 16(11), 3170-3178. https://doi.org/10.1557/JMR.2001.0437
  2. Bartier, O., Hernot, X. and Mauvoisin, G. (2010), "Theoretical and experimental analysis of contact radius for spherical indentation", Mech. Mater., 42, 640-656. https://doi.org/10.1016/j.mechmat.2010.03.003
  3. Beghini, M., Bertini, L. and Fontanari, V. (2006), "Evaluation of the stress-strain curve of metallic materials by spherical indentation", Int. J. Sol. Struct., 43, 2441-2459. https://doi.org/10.1016/j.ijsolstr.2005.06.068
  4. Bisrat, Y. and Roberts, S.G. (2000), "Residual stress measurement by Hertzian indentation", Mater. Sci. Eng. A, 288, 148-153. https://doi.org/10.1016/S0921-5093(00)00877-7
  5. 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, 52, 4023-4032. https://doi.org/10.1016/j.actamat.2004.05.018
  6. Cao, Y., Qian, X. and Huber, N. (2007), "Spherical indentation into elastoplastic materials: Indentationresponse based definitions of the representative strain", Mater. Sci. Eng. A, 454(455), 1-13.
  7. Demir, A. and Sonmez, F.O. (2004), "Predication of Brinell hardness distribution in cold formed parts", ASME J. Eng. Mater. Tech., 126, 398-405. https://doi.org/10.1115/1.1789960
  8. Elaguine, D., Brudieu, M.A. and Storakers, B. (2006), "Hertzain fracture at unloading", J. Mech. Phys. Solid., 54, 2453-2473. https://doi.org/10.1016/j.jmps.2006.04.014
  9. Habbab, H., Mellor, B.G. and Syngellakis, S. (2006), "Post-Yield characterisation of metals with significant pile-up through spherical indentations", Acta Materialia, 54, 1965-1973. https://doi.org/10.1016/j.actamat.2005.12.021
  10. Hernot, X., Bartier, O., Bekouche, Y., El Abdi, R. and Mauvoisin, G. (2006), "Influence of penetration depth and mechanical properties on contact radius determination for spherical indentation", Int. J. Sol. Struct., 43, 4136-4153. https://doi.org/10.1016/j.ijsolstr.2005.06.007
  11. Kang, B.S.J., Yao, Z. and Barbero, E.J. (2006), "Post-yielding stress-strain determination using spherical indentation", Mech. Adv. Mater. Struct., 13(2), 129-138. https://doi.org/10.1080/15376490500448607
  12. Karthik, V., Laha, K., Parameswaran, P., Kasiviswanathan, K.V. and Baldevraj, (2007), "Small specimen test techniques for estimating the tensile property degradation of Mod 9cr-iMo steel on thermal aging", J. Test. Eval., 35(4), 438-448.
  13. Kumaravelan, R., Ramesh, S., Sathish Gandhi, V.C., Joemax Agu, M. and Thanmanaselvi, M. (2013), "Analysis of multi leaf spring based on contact mechanics-a novel approach", Struct. Eng. Mech., 47(3), 443-454. https://doi.org/10.12989/sem.2013.47.3.443
  14. Lee, H., Lee, J.H. and Pharr, G.M. (2005), "A numerical approach to spherical indentation techniques for material property evaluation", J. Mech. Phys. Solid., 53, 2037-2069. https://doi.org/10.1016/j.jmps.2005.04.007
  15. Lee, K.W., Kim, K.H., Kim, J.Y. and Kwon, D. (2008), "Derivation of tensile flow characteristics for austenitic materials from instrumented indentation technique", J. Phys. D, Appl. Phys., 41, 074041.
  16. Lee, J.H., Kim, T. and Lee, H. (2010), "A study on robust indentation techniques to evaluate elastic-plastic properties of metals", Int. J. Solid. Struct., 47, 647-664. https://doi.org/10.1016/j.ijsolstr.2009.11.003
  17. Sathish Gandhi, V.C., Ramesh, S., Kumaravelan, R. and Thanmanaselvi, M. (2012), "Contact analysis of spherical ball and a deformable flat model with the effect of tangent modulus", Struct. Eng. Mech., 44(1), 61-72. https://doi.org/10.12989/sem.2012.44.1.061
  18. Sharm, K., Bhasin, V., Vaze, K.K. and Ghosh, A.K. (2011), "Numerical simulation with finite element and artificial neural network of ball indentation for mechanical property estimation", Sadhana Ind. Acad. Sci., 36(2), 181-192.
  19. Yan, W., Sun, Q. and Liu, H.Y. (2006), "Spherical indentation hardness of shape memory alloys", Mater. Sci. Eng. A, 425, 278-285. https://doi.org/10.1016/j.msea.2006.03.046
  20. Yan, W., Sun, Q. and Hodgson, P.D. (2008), "Determination of plastic yield stress from spherical indentation slop curve", Mater. Let., 62, 2260-2262. https://doi.org/10.1016/j.matlet.2007.11.062
  21. Yaylac, M. and Birinci, A. (2013), "The receding contact problem of two elastic layers supported by two elastic quarter planes", Struct. Eng. Mech., 48(2), 241-255. https://doi.org/10.12989/sem.2013.48.2.241

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