Mode-mixity-dependent adhesion of power-law graded elastic solids under normal load and substrate stretch-induced mismatch strain

International Journal of Solids and Structures

Volumn 49, Issue 17, 2012, Pages 2349-2357

  Jin, Fan ^a   Guo, Xu ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Adhesion; Contact mechanics; Mismatch strain; Mix mode; Power law graded materials

Indexed keywords

A-PLANE; ADHESIVE SYSTEMS; AXISYMMETRIC; COMBINED ACTIONS; CONTACT MECHANICS; CRITICAL VALUE; ELASTIC SOLIDS; FUNCTIONAL GRADED MATERIALS; GRADED MATERIALS; MISMATCH STRAIN; MIX MODE; MODE MIXITY; NORMAL FORCES; NORMAL LOADING; NORMAL LOADS; NOVEL APPLICATIONS; PHYSICAL CONSTANTS; POWER-LAW; THEORETICAL FOUNDATIONS;

ELASTIC WAVES; EQUILIBRIUM CONSTANTS; LOADING; SOLIDS;

ADHESION;

EID: 84862179590     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.05.003     Document Type: Article

References (65)

1. E. Artz, S. Gorb, and R. Spolenak From micro to nano contacts in biological attachment devices Proc. Natl. Acad. Sci. USA 100 2003 10603 10606
2. K. Autumn, and N. Gravish Gecko adhesion: evolutionary nanotechnology Phil. Trans. R. Soc. A 366 2008 1575 1590
3. J.M. Baney, and C.Y. Hui A cohesive zone model for the adhesion of cylinders J. Adhesion Sci. Technol. 11 1997 393 406
4. M. Barquins Adherence and rolling kinetics of a rigid cylinder in contact with a natural rubber surface J. Adhesion 26 1998 1 12
5. E. Barthel On the description of the adhesive contact of spheres with arbitrary interaction potentials J. Coll. Interface Sci. 200 1998 7 18
6. B. Bhushan Biomimetics: lessons from nature-an overview Phil. Trans. R. Soc. A 367 2009 1445 1486
7. J.R. Booker, N.P. Balaam, and E.H. Davis The behavior of an elastic non-homogeneous half-space. Part I. Line and point loads Int. J. Numer. Anal. Methods Geomech. 9 1985 353 367
8. J.R. Booker, N.P. Balaam, and E.H. Davis The behavior of an elastic non-homogeneous half-space. Part II. Circular and strip footings Int. J. Numer. Anal. Methods Geomech. 9 1985 369 381
9. G. Carbone, and L. Mangialardi Adhesion and friction of an elastic half-space in contact with a slightly wavy rigid surface J. Mech. Phys. Solids 52 2004 1267 1287
10. M.K. Chaudhury, T. Weaver, C.Y. Hui, and E.J. Kramer Adhesion contact of cylindrical lens and a flat sheet J. Appl. Phys. 80 1996 30 37
11. B. Chen, P. Wu, and H. Gao Pre-tension generates strongly reversible adhesion of a spatula pad on substrate J. R. Soc. Interface 6 2009 529 537
12. S. Chen, and H. Gao Non-slipping adhesive contact of an elastic cylinder on stretched substrates Proc. Roy. Soc. Lond. A 462 2006 211 228
13. S. Chen, and H. Gao Non-slipping adhesive contact between mismatched elastic spheres: a model of adhesion mediated deformation sensor J. Mech. Phys. Solids 54 2006 1548 1567
14. S. Chen, and H. Gao Generalized Maugis-Dugdale model of an elastic cylinder in non-slipping adhesive contact with a stretched substrate Int. J. Mater. Res. 97 2006 584 593
15. S. Chen, and H. Gao Bio-inspired mechanics of reversible adhesion: orientation-dependent adhesion for non-slipping adhesive contact with transversely isotropic elastic materials J. Mech. Phys. Solids 55 2007 1001 1015
16. S. Chen, and H. Gao Non-slipping adhesive contact between mismatched elastic cylinders Int. J. Solids Struct. 44 2007 1939 1948
17. S. Chen, C. Yan, and A. Soh Adhesive behavior of two-dimensional power-law graded materials Int. J. Solids Struct. 46 2009 3398 3404
18. S. Chen, C. Yan, P. Zhang, and H. Gao Mechanics of adhesive contact on a power-law graded elastic half-space J. Mech. Phys. Solids 57 2009 1437 1448
19. Y.S. Chu, S. Dufour, J.P. Thiery, E. Perez, and F. Pincet Johnson-Kendall-Robert theory applied to living cells Phys. Rev. Lett. 94 2005 028102
20. R. De, A. Zemel, and S. Safran Dynamics of cell orientation Nature Phys. 3 2007 655 659
21. B.V. Derjaguin, V.M. Muller, and Y.P. Toporov Effect of contact deformations on the adhesion of particles J. Colloid Interface Sci. 53 1975 314 326
22. L.B. Freund, and Y. Lin The role of binder mobility in spontaneous adhesive contact and implications for cell adhesion J. Mech. Phys. Solids 52 2004 2455 2472
23. K.N.G. Fuller, and D. Tabor The effect of surface roughness on adhesion of elastic solids Proc. R. Soc. Lond. A 345 1975 327 342
24. H. Gao, J. Qian, and B. Chen Probing mechanical principles of focal contacts in cell-matrix adhesion with a coupled stochastic-elastic modeling framework J. R. Soc. Interface 8 2011 1217 1232
25. H. Gao, X. Wang, H. Yao, S. Gorb, and E. Arzt Mechanics of hierarchical adhesion structures of gecko Mech. Mater. 37 2005 275 285
26. J.A. Greenwood Adhesion of elastic spheres Proc. R. Soc. London A 453 1997 1277 1297
27. J.A. Greenwood, and K.L. Johnson The mechanics of adhesion of viscoelastic solids Philos. Mag. 43 1981 697 711
28. J.A. Greenwood, and K.L. Johnson An alternative to the Maugis model adhesion between elastic spheres J. Phys. D: Appl. Phys. 31 1998 3279 3290
29. A.E. Giannakopoulos, and P. Pallot Two-dimensional contact analysis of elastic graded materials J. Mech. Phys. Solids 48 2000 1597 1631
30. A.E. Giannakopoulos, and S. Suresh Indentation of solids with gradients in elastic properties: Part I. Point force Int. J. Solids Struct. 34 1997 2357 2392
31. A.E. Giannakopoulos, and S. Suresh Indentation of solids with gradients in elastic properties: Part II. Axisymmetric indentors Int. J. Solids Struct. 34 1997 2393 2428
32. N.J. Glassmaker, A. Jagota, C.Y. Hui, and J. Kim Design of biomimetic fibrillar interface: 1. Making contact J. R. Soc. Interface 1 2004 23 33
33. P.R. Guduru Detachment of a rigid solid from an elastic wavy surface: theory J. Mech. Phys. Solids 55 2007 445 472
34. X. Guo, F. Jin, and H. Gao Mechanics of non-slipping adhesive contact on a power-law graded elastic half-space Int. J. Solids Struct. 48 2011 2565 2575
35. G. Haiat, M.C.P. Huy, and E. Barthel The adhesive contact of viscoelastic spheres J. Mech. Phys. Solids 51 2003 69 99
36. C.Y. Hui, J.M. Baney, and E.J. Kramer Contact mechanics and adhesion of viscoelastic sphere Langmuir 14 1998 6570 6578
37. C.Y. Hui, N.J. Glassmaker, T. Tang, and A. Jagota Design of biomimetic fibrillar interface: 2. Mechanics of enhanced adhesion J. R. Soc. Interface 1 2004 35 48
38. C.Y. Hui, Y.Y. Lin, J.M. Baney, and E.J. Kramer The mechanics of contact and adhesion of periodically rough surfaces J. Polym. Sci., Pt. B, Polym. Phys. 39 2001 1195 1214
39. J.W. Hutchinson, and Z. Suo Mixed mode cracking in layered materials Adv. Appl. Mech. 29 1992 63 191
40. A. Jagota, and C.Y. Hui Adhesion, friction, and compliance of bio-mimetic and bio-inspired structured interfaces Mater. Sci. Eng. R. 72 2011 253 292
41. F. Jin, and X. Guo Non-slipping adhesive contact of a rigid cylinder on an elastic power-law graded half-space Int. J. Solids Struct. 47 2010 1508 1521
42. K.L. Johnson The adhesion of two elastic bodies with slightly wave surfaces Int. J. Solids Struct. 32 1995 423 430
43. K.L. Johnson, and J.A. Greenwood An adhesion map for the contact of elastic spheres J. Coll. Interface Sci. 192 1997 326 333
44. K.L. Johnson, K. Kendall, and A.D. Roberts Surface energy and the contact of elastic solids Proc. Roy. Soc. Lond. A 324 1971 301 313
45. H. Kesari, and A. Lew Effective macroscopic adhesive contact behavior induced by small surface roughness J. Mech. Phys. Solids 59 2011 2488 2510
46. K.S. Kim, R.M. McMeeting, and K.L. Johnson Adhesion, slip cohesive zone and energy fluxes for elastic spheres in contact J. Mech. Phys. Solids 46 1998 243 266
47. R. Long, and C.Y. Hui Axisymmetric membrane in adhesive contact with rigid substrates: analytical solutions under large deformation Int. J. Solids Struct. 49 2012 672 683
48. D. Maugis Adhesion of spheres: the JKR-DMT transition using a Dugdale model J. Colloid Interface Sci. 150 1992 243 269
49. B.N.J. Persson Adhesion between and an elastic body and a randomly rough hard surface Eur. Phys. J.E 8 2002 385 401
50. N. Pugno, E. Lepore, S. Toscano, and F. Pugno Normal adhesive force-displacement curves of living Geckos J. Adhesion 87 2011 1059 1072
51. G.Ia. Popov Plane contact problem for a linearly-deformation foundation in the presence of adhesion PMM 37 1973 254 261
52. G.Ia. Popov Axisymmetric contact problem for an elastic inhomogeneous half-space in the presence of cohesion PMM 37 1973 1109 1116
53. J.R. Rice Elastic fracture mechanics concepts for interfacial cracks J. Appl. Mech. 55 1988 98 103
54. N. Sundaram, T.N. Farris, and S. Chandrasekar JKR adhesion in cylindrical contacts J. Mech. Phys. Solids 60 2012 37 54
55. S. Sandukas, A. Yamamoto, and A. Rabiei Osteoblast adhesion to functionally graded hydroxyapatite coatings doped with silver J. Biomed. Mater. Res. A 97A 2011 490 497
56. M. Sherge, and S. Gorb Biological Micro- and Nano-Tribology-Nature's Solutions 2001 Springer Berlin
57. S. Suresh Graded materials for resistance to contact deformation and damage Science 292 2001 2447 2451
58. S. Suresh, and A. Mortensen Fundamentals of Functionally Graded Materials 1998 Institute of Materials London
59. P.H. Tsang, G. Li, Y.V. Brun, L.B. Freund, and J.X. Tang Adhesion of single bacterial cells in the micronewton range Proc. Natl. Acad. Sci. 103 2006 5764 5768
60. S. Walcott, and S.X. Sun A mechanical model of actin stress fiber formation and substrate elasticity sensing in adherent cells Proc. Natl Acad. Sci. USA 107 2010 7757 7762
61. J.F. Waters, and P.R. Guduru Mode-mixity-dependent adhesive contact of a sphere on a plane surface Proc. Roy. Soc. Lond. A 466 2010 1303 1325
62. J.F. Waters, and P.R. Guduru A mechanism for enhanced static sliding resistance owing to surface waviness Proc. Roy. Soc. Lond. A 467 2011 2209 2223
63. J.F. Waters, J. Kalow, H. Gao, and P.R. Guduru Axisymmetric adhesive contact under equibiaxial stretching J. Adhesion 88 2012 134 144
64. H. Yao, and H. Gao Mechanics of robust and releasable adhesion in biology: bottom-up designed hierarchical structures of gecko J. Mech. Phys. Solids 54 2006 1120 1146
65. Yao, H., Gao, H., 2010. Gibson-soil-like materials achieve flaw-tolerant adhesion. J. Comput. Theor. Nanosci. 7, 1-7.