Crack blunting and the strength of soft elastic solids

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 459, Issue 2034, 2003, Pages 1489-1516

  Hui, C Y ^a   Jagota, A ^b   Bennison, S J ^b   Londono, J D ^b  

^a Department of Obstetrics Gynecology   (United States)

^b DUPONT COMPANY   (United States)

Author keywords

Adhesion; Blunting; Elastomer; Fracture

Indexed keywords

ELASTOMER; RUBBER;

ARTICLE; ELASTICITY; FINITE ELEMENT ANALYSIS; MATHEMATICAL ANALYSIS; PHYSICAL MODEL; PHYSICS; SIMULATION;

EID: 1542512389     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2002.1057     Document Type: Article

References (38)

1. Andrew, E. H. & Kinloch, A. J. 1973 Mechanics of adhesive failure. I, II. Proc. R. Soc. Lond. A 332, 385-399, 401-414.
2. Atkins, A. G. & Mai, Y. W. 1988 Elastic and plastic fracture. Chichester: Ellis Horwood.
3. Barenblatt, G. I. 1968 The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7, 55-129.
4. Brown, H. R. 1991 A molecular interpretation of the toughness of glassy-polymers. Macromolecules 24, 2752-2756.
5. Chaudhury, M. K., Weaver, T., Hui, C. Y. & Kramer, E. J. 1996 Adhesive contact of cylindrical lens and a flat sheet. J. Appl. Phys. 80, 30-37.
6. Creton, C. & Lakrout, H. 2000 Micromechanics of flat-probe adhesion tests of soft viscoelastic polymer films. J. Polymer Sci. B 38, 965-979.
7. Crosby, A. J., Shull, K. R., Lakrout, H. & Creton, C. 2000 Deformation and failure modes of adhesively bonded elastic layers. J. Appl. Phys. 88, 2956-2966.
8. de Gennes, P.-G. 1996 Soft adhesives. Langmuir 12, 4497-4500.
9. Ferry, J. D. 1980 Viscoelastic properties of polymers, 3rd edn. Wiley.
10. Gao, Y. C. 1997 Large deformation field near a crack tip in a rubber-like material. Theor. Appl. Fract. Mech. 26, 155-162.
11. Gent, A. N. 1996 Adhesion and strength of viscoelastic solids. Is there a relationship between adhesion and bulk properties? Langmuir 12, 4492-4496.
12. Gent, A. N. & Lai, S. M. 1994 Interfacial bonding, energy dissipation and adhesion. J. Polymer Sci. C 32, 1543-1555.
13. Gent, A. N. & Petrich, R. 1969 Adhesion of viscoelastic materials to rigid substrates. Proc. R. Soc. Lond. A 310, 433-448.
14. Gent, A. N. & Schultz, J. 1972 Effect of wetting liquids on strength of adhesion of viscoelastic materials. J. Adhes. 3, 281.
15. Gent, A. N. & Wang, C. 1991 Fracture Mechanics and cavitation in rubber-like materials. J. Mater. Sci. 26, 3392-3395.
16. Geubelle, P. H. & Knauss, W. G. 1994 Finite strains at the tip of a crack in a sheet of hyperelastic materials. I. Homogeneous case. J. Elastic. 35, 61-98.
17. Ghatak, A., Vorvolakos, K., She, H. Q., Malotky, D. L. & Chaudhury, M. K. 2000 Interfacial rate processes in adhesion and fracture. J. Phys. Chem. B 104, 4018-4030.
18. Hui, C. Y., Ruina, A., Creton, C. & Kramer, E. J. 1992 Micromechanics of crack growth into a craze in a polymer glass. Macromolecules 25, 3948-3955.
19. Israelachvili, J. 1992 Intermolecular and surface forces, 2nd edn. Academic.
20. Jagota, A., Bennison, S. J. & Smith, C. A. 2000 Analysis of a compressive shear test for adhesion between elastomeric polymers and rigid substrates. Int. J. Fract. 104, 105-130.
21. Johnson, K. L., Kendall, K. & Roberts, A. D. 1971 Surface energy and the contact of elastic solids. Proc. R. Soc. Lond. A 342, 301.
22. Knauss, W. G. 1993 Time dependent fracture and cohesive zones. J. Engng Mater. Technol. 115, 262-267.
23. Knowles, J. K. & Sternberg, E. 1983 Large deformations near a tip of an interface-crack between two neo-Hookean sheets. J. Elastic. 13, 257-293.
24. Lake, G. J. & Thomas, A. G. 1967 The strength of highly elastic materials. Proc. R. Soc. Lond. A 300, 108.
25. Lakrout, H., Sergot, P. & Creton, C. 1999 Direct observation of cavitation and fibrillation in a probe tack experiment on model acrylic pressure-sensitive adhesives. J. Adhes. 69, 307-359.
26. Lawn, B. R. 1993 Fracture of brittle solids, 2nd edn. Cambridge University Press.
27. Lin, Y. Y., Hui, C. Y. & Jagota, A. 2001 The role of viscoelastic adhesive contact on the sintering of polymeric particles. J. Colloid Interface Sci. 237, 267-282.
28. Maugis, D. 1992 Adhesion of spheres: the JKR-DMT transition using a Dugdale Model. J. Colloid Interface Sci. 150, 243.
29. Mazur, S. & Plazek, D. J. 1994 Viscoelastic effects in the coalescence of polymer particles. Prog. Org. Coat. 24, 225.
30. Mowery, C. L., Crosby, A. J., Ahn, D. & Shull, K. R. 1997 Adhesion of thermally reversible gels to solid surfaces. Langmuir 23, 6101-6107.
31. Ogden, R. W. 1984 Non-linear elastic deformations. New York: Dover.
32. Rahul Kumar, P., Jagota, A., Bennison, S. J., Saigal, S. & Muralidhar, S. 1999 Polymer interfacial fracture simulations using cohesive elements. Acta Mater. 47, 4161-4169.
33. Rahul Kumar, P., Jagota, A., Bennison, S. J. & Saigal, S. 2000 Cohesive element modeling of viscoelastic fracture: application to peel testing of polymers. Int. J. Solids Struct. 37, 1873-1897.
34. Sha, Y., Hui, C. Y., Ruina, A. & Kramer, E. J. 1995 Continuum and discrete modeling of craze breakdown in glassy polymers. Macromolecules 28, 2450-2459.
35. Timoshenko, S. P. & Goodier, J. N. 1970 Theory of elasticity, 3rd edn. McGraw-Hill.
36. Tvergaard, V. & Hutchinson, J. W. 1992 The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J. Mech. Phys. Solids 40, 1377.
37. Xu, X. P. & Needleman, A. 1994 Numerical simulations of fast crack growth in brittle solids. J. Mech. Phys. Solids 42, 1397-1434.
38. Yeoh, O. H. 1993 Some forms of the strain energy function for rubber. Rubber Chem. Technol. 66, 754-771.