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Part A: Materials Science

Deformation field in deep flat punch indentation and the persistence of dead-metal zones

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Pages 2326-2344 | Received 21 Feb 2018, Accepted 25 May 2018, Published online: 19 Jun 2018

References

  • W. Johnson, P.B. Mellor, Engineering plasticity, Ellis Horwood, Chichester, West Sussex, UK 1983.
  • L. Prandtl, Uber die härte plastischer körper, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse 1920 (1920), pp. 74–85.
  • L. Prandtl, Anwendungsbeispiele zu einem henckyschen satz über das plastische gleichgewicht, ZAMM Z. Angew. Math. Mech. 3 (1923), pp. 401–406. doi: 10.1002/zamm.19230030601
  • R. Hill, Lxvii. A theoretical investigation of the effect of specimen size in the measurement of hardness, Lond. Edinb. Dubl. Phil. Mag. 41 (1950), pp. 745–753. doi: 10.1080/14786445008561007
  • R. Hill, The Mathematical Theory of Plasticity, Oxford Classic Texts in the Physical Sciences Vol. 11, Oxford University Press, Oxford, 1950.
  • J.F.W. Bishop, On the complete solution to problems of deformation of a plastic-rigid material, J. Mech. Phys. Solids 2 (1953), pp. 43–53. doi: 10.1016/0022-5096(53)90026-X
  • M. Bijak-Zochowski and P. Marek, Development of plastic zones and residual stress in elasto-plastic contact problems with stress singularities in elastic range, Int. J. Mech. Sci. 38 (1996), pp. 175–190. doi: 10.1016/0020-7403(95)00043-W
  • R. Nepershin, The indentation of a flat punch into a rigid-plastic half-space, J. Appl. Math. Mech. 66 (2002), pp. 135–140. doi: 10.1016/S0021-8928(02)00018-7
  • A. Nádai, Theory of Flow and Fracture of Solids Vol. 2, Mcgraw Hill Book Company, New York, 1963.
  • S.A. Meguid, I.F. Collins, and W. Johnson, The co-indentation of a layer by two flat plane or spherical-headed, rigid punches, Int. J. Mech. Sci. 19 (1977), pp. 1IN15–4IN49.
  • T.G. Murthy, J. Madariaga, S. Chandrasekar, Direct mapping of deformation in punch indentation and correlation with slip line fields. J. Mater. Res. 24 (3) (2009), pp. 760–767. doi: 10.1557/jmr.2009.0094
  • K. Chen, W. Meng, F. Mei, J. Hiller, and D. Miller, From micro-to nano-scale molding of metals: Size effect during molding of single crystal Al with rectangular strip punches, Acta Mater. 59 (2011), pp. 1112–1120. doi: 10.1016/j.actamat.2010.10.044
  • T.G. Murthy, C. Saldana, M. Hudspeth, and R. M’Saoubi, Deformation field heterogeneity in punch indentation, Proc. Royal Soc. A 470 (2014), p. 20130807. doi: 10.1098/rspa.2013.0807
  • C. Lee and S. Kobayashi, Elastoplastic analysis of plane-strain and axisymmetric flat punch indentation by the finite-element method, Int. J. Mech. Sci. 12(1970), pp. 349–370. doi: 10.1016/0020-7403(70)90088-3
  • T.M. Tan, S. Li, and P. Chou, Finite element solution of Prandtl’s flat punch problem, Finite Elem. Anal. Des. 6 (1989), pp. 173–186. doi: 10.1016/0168-874X(89)90042-5
  • J. Jiang, G.B. Sinclair, and W.J. Meng, Quasi-static normal indentation of an elastoplastic substrate by a periodic array of elastic strip punches, Int. J. Solids Struct. 46 (2009), pp. 3677–3693. doi: 10.1016/j.ijsolstr.2009.06.020
  • D. Tabor, The hardness of metals, Oxford University Press, New York, 1951.
  • T.G. Murthy, C. Huang, and S. Chandrasekar, Characterization of deformation field in plane strain indentation of metals, J. Phys. D 41 (2008), p. 074026. doi: 10.1088/0022-3727/41/7/074026
  • M.M. Chaudhri, Subsurface deformation patterns around indentations in work-hardened mild steel, Philos. Mag. Lett. 67 (1993), pp. 107–115. doi: 10.1080/09500839308243860
  • M.M. Chaudhri, Subsurface strain distribution around Vickers hardness indentations in annealed polycrystalline copper, Acta Mater. 46 (1998), pp. 3047–3056. doi: 10.1016/S1359-6454(98)00010-X
  • R. Hill, E.H. Lee, and S.J. Tupper, The theory of wedge indentation of ductile materials, Proc. Royal Soc. A 188 (1947), pp. 273–289. doi: 10.1098/rspa.1947.0009
  • T.O. Mulhearn, The deformation of metals by Vickers-type pyramidal indenters, J. Mech. Phys. Solids 7 (1959), pp. 85–88. doi: 10.1016/0022-5096(59)90013-4
  • J. Chakrabarty, Theory of Plasticity, 3rd ed., Butterworth-Heinemann, London, 2006.
  • A.E. Giannakopoulos, P.L. Larsson, and R. Vestergaard, Analysis of Vickers indentation, Int. J. Solids Struct. 31 (1994), pp. 2679–2708. doi: 10.1016/0020-7683(94)90225-9
  • S. Biwa and B. Storåkers, An analysis of fully plastic Brinell indentation, J Mech Phys Solids 43 (1995), pp. 1303–1333. doi: 10.1016/0022-5096(95)00031-D
  • S.D. Mesarovic and N.A. Fleck, Spherical indentation of elastic-plastic solids, Proc. Royal Soc. A 455(1999), pp. 2707–2728. doi: 10.1098/rspa.1999.0423
  • M. Mata and J. Alcala, The role of friction on sharp indentation, J. Mech. Phys. Solids 52 (2004), pp. 145–165. doi: 10.1016/S0022-5096(03)00075-9
  • D. Anderson, A. Warkentin, and R. Bauer, Simulation of deep spherical indentation using Eulerian finite element methods, J. Tribol. 133 (2011), p. 021401. doi: 10.1115/1.4003703
  • J. Donea, A. Huerta, J.P. Ponthot, and A. Rodriguez-Ferran, Arbitrary Lagrangian Eulerian methods, in Encyclopedia of Computational Mechanics. Volume 1: Fundamentals, E. Stein, R. de Borst, and T.J.R. Hughes, eds., Chap. 14, John Wiley & Sons, 2004, p. 413.
  • G.R. Johnson and W.H. Cook, A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures, in Proceedings of the 7th International Symposium on Ballistics, Vol. 21. The Netherlands, 1983, pp. 541–547.
  • F.J. Zerilli and R.W. Armstrong, Dislocation-mechanics-based constitutive relations for material dynamics calculations, J. Appl. Phys. 61 (1987), pp. 1816–1825. doi: 10.1063/1.338024
  • B. Banerjee, An evaluation of plastic flow stress models for the simulation of high temperature and high-strain-rate deformation of metals, arXiv preprint cond-mat/0512466 (2005).
  • Dassault-Systemes, ABAQUS Analysis User Manual, Dassault Systemes Simulia Corporation, Providence, RI, USA (2012).
  • J. Haddow, On a plane strain wedge indentation paradox, Int. J. Mech. Sci. 9 (1967), pp. 159–161. doi: 10.1016/0020-7403(67)90026-4
  • N. Sundaram, Y. Guo, and S. Chandrasekar, Modes of deformation and weak boundary conditions in wedge indentation, MRS Commun. 2 (2012), pp. 47–50. doi: 10.1557/mrc.2012.6
  • H. Schlichting, Boundary-layer theory, McGraw-Hill, New York, 1968.

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