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Original Articles

Spherical adhesion contact problem for FGM coating-substrate system

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Pages 1237-1262 | Received 20 May 2020, Accepted 21 Oct 2020, Published online: 24 Nov 2020

References

  • Qi JW, Yang YM, Zhou MM, et al. Effect of transition layer on the performance of hydroxyapatite/titanium nitride coating developed on Ti–6Al–4V alloy by magnetron sputtering. Ceram Int. 2019;45(4):4863–4869.
  • Zhang J, Zhang YL, Fu YQ, et al. Effect of HfC-SiC transition layer on the ablation resistance of SiC/HfC-SiC/HfC multi-layer coating for C/C composites. Vacuum. 2019;169:108886.
  • Niino M, Hirai T, Watanabe R. Functionally gradient materials. J Soc Comp Mat. 1987;13(6):257–264.
  • Jørgensen O, Giannakopoulos AE, Suresh S. Spherical indentation of composite laminates with controlled gradients in elastic anisotropy. Int J Solids Struct. 1998;35(36):5097–5113.
  • Suresh S. Graded materials for resistance to contact deformation and damage. Science. 2001;292(5526):2447–2451.
  • Giannakopoulos AE, Suresh S. Indentation of solids with gradients in elastic properties: Part I. point force solution. Int J Solids Struct. 1997;34:2357–2392.
  • Giannakopoulos AE, Suresh S. Indentation of solids with gradients in elastic properties: Part II. Axisymmetric indenters. Int J Solids Struct. 1997;34:2392–2428.
  • Giannakopoulos AE, Pallot P. Two-dimensional contact analysis of elastic graded materials. J Mech Phys Solids. 2000;48(8):1597–1631.
  • Pender DC, Padture NP, Giannakopoulos AE, et al. Gradients in elastic modulus for improved contact-damage resistance. Part I: the silicon nitride-oxynitride glass system. Acta Mater. 2001;49(16):3255–3262.
  • Pender DC, Thompson SC, Padture NP, et al. Gradients in elastic modulus for improved contact-damage resistance. Part II: The silicon nitride-silicon carbide system. Acta Mater. 2001;49(16):3263–3268.
  • Wang XW, Liang XY, Jin CH. Accurate dynamic analysis of functionally graded beams under a moving point load. Mech Based Des Struc. 2017;45(1):76–91.
  • Ke LL, Wang YS. Two-dimensional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties. Int J Solids Struct. 2006;43(18–19):5779–5798.
  • Ke LL, Wang YS. Two-dimensional sliding frictional contact of functionally graded materials. Eur J Mech A-Solid. 2007;26(1):171–188.
  • Liu TJ, Wang YS, Zhang CZ. Axisymmetric frictionless contact of functionally graded materials. Arch Appl Mech. 2008;78(4):267–282.
  • Liu TJ, Wang YS, Xing YM. Fretting contact of two elastic solids with graded coatings under torsion. Int J Solids Struct. 2012;49(10):1283–1293.
  • Liu TJ, Xing YM. Stress analysis for bonded materials with a graded interfacial layer under a rigid punch. Mech Adv Mater Struc. 2016;23(10):1163–1172.
  • Middelhoek S, Audet SA. Silicon sensors. New York: Academic Press; 1989.
  • Fluitman J. Microsystems technology: objectives. Sensor Actuat A. 1996;56(1–2):151–166.
  • Oliver WC, Pharr GM. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res. 1992;7(6):1564–1583.
  • Butt HJ, Cappella B, Kappl M. Force measurements with the atomic force microscope: technique, interpretation and applications. Surf Sci Rep. 2005;59(1–6):1–152.
  • Elloumi R, Kallel-Kamoun I, El-Borgi S. A fully coupled partial slip contact problem in a graded half-plane. Mech Mater. 2010;42(4):417–428.
  • Bradley RS. The cohesive force between solid surface and the surface energy of solids. J Sci. 1932;13(86):853–862.
  • Johnson KL, Kendall K, Roberts AD. Surface energy and the contact of elastic solids. P Roy Soc A. 1971;324:301–313.
  • Derjaguin BV, Muller VM, Toporov YP. Effect of contact deformations on the adhesion of particles. J Colloid Interface Sci. 1975;53(2):314–326.
  • Maugis D. Adhesion of spheres: the JKR-DMT transition using a Dugdale model. J Colloid Interface Sci. 1992;150(1):243–269.
  • Greenwood JA, Johnson KL. An alternative to the Maugis model of adhesion between elastic spheres. J Phys D. 1998;31(22):3279–3290.
  • Sergici AO, Adams GG, Müftü S. Adhesion in the contact of a spherical indenter with a layered elastic half-space. J Mech Phys Solids. 2006;54(9):1843–1861.
  • Chen SH, Yan C, Soh A. Adhesive behavior of two-dimensional power-law graded materials. Int J Solids Struct. 2009;46(18–19):3398–3404.
  • Chen S, Yan C, Zhang P, et al. Mechanics of adhesive contact on a power-law graded elastic half-space. J Mech Phys Solids. 2009;57(9):1437–1448.
  • Jin F, Guo X. Non-slipping adhesive contact of a rigid cylinder on an elastic power-law graded half-space. Int J Solids Struct. 2010;47(11–12):1508–1521.
  • Li PX, Liu TJ. The adhesive contact problem between a graded coated half-space and a cylindrical indenter by using a Maugis mode. J Adhes Sci Technol. 2018;32(22):2494–2508.
  • Liu TJ, Li PX. Two-dimensional adhesion mechanics of a graded coated substrate under a rigid cylindrical punch based on a PWEML model. Appl Math Model. 2019;69:1–14.
  • George E, Richard A, Ranjan R. Special functions. Cambridge: Cambridge University Press; 2000.
  • Erdogan F, Gupta GD. On the numerical solution of singular integral equations. Quart Appl Math. 1972;29(4):525–534.
  • Civelek MB. Doctor of philosophy dissertation. Bethlehem: Mechanical Engineering Department Lehigh University; 1972.
  • Yang F, Liu TJ. The effect of adhesion on axisymmetric contact between a spherical punch and FGM coating. J Adhes Sci Technol. 2020;34(17):1912–1933.
  • Harding JW, Sneddon IN. The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch. Math Proc Camb Phil Soc. 1945;41(1):16–26.

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