Supersonic rupture of rubber

Journal of the Mechanics and Physics of Solids

Volumn 54, Issue 3, 2006, Pages 491-532

  Marder, M ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Fracture; Rubber; Shocks

Indexed keywords

CONTINUUM MECHANICS; CRACKS; FRACTURE; MATHEMATICAL MODELS; STRAIN; SUPERSONIC AERODYNAMICS;

SCALING LAWS; SHOCKS; STRAIN ENERGY; STRAIN LEVELS;

RUBBER;

EID: 29744438028     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.10.002     Document Type: Article

References (37)

1. R.J. Atkin, and N. Fox An Introduction to the Theory of Elasticity 1980 Longman London
2. K.B. Broberg Cracks and Fracture 1999 Academic Press San Diego
3. M.J. Buehler, F.F. Abraham, and H. Gao Hyperelasticity governs dynamic fracture at a critical length scale Nature 426 2003 141 146
4. R.D. Deegan, P. Petersan, M. Marder, and H.L. Swinney Oscillating fracture paths in rubber Phys. Rev. Lett. 88 2002 14304
5. Eringen, A.C., Suhubi, E.S., 1974. Elastodynamics. Finite Motions, vol. 1. Academic Press, New York.
6. J. Fineberg, and M. Marder Instability in dynamic fracture Phys. Rep. 313 1999 1 108
7. L. Fradkin, I. Kamotski, E. Terentjev, and D. Zakharov Low-frequency acoustic waves in nematic elastomers Proc. R. Soc. London A 459 2003 2627 2642
8. L.B. Freund Dynamic Fracture Mechanics 1990 Cambridge University Press Cambridge
9. H. Gao, and P. Klein Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds J. Mech. Phys. Solids 46 1998 197 218
10. B.L. Holian Formulating mesodynamics for polycrystalline materials Europhys. Lett. 64 2003 330 336
11. C.-Y. Hui, A. Jagota, S.J. Bennison, and J.D. Londono Crack blunting and the strength of soft elastic solids Proc. R. Soc. London A 459 2003 1489 1516
12. G.R. Irwin Analysis of stresses and strains near the end of a crack traversing a plate J. Appl. Mech. 24 1957 361 364
13. M.F. Kanninen, and C. Popelar Advanced Fracture Mechanics 1985 Oxford New York
14. P. Klein, and H. Gao Crack nucleation and growth as strain localization in a virtual-bond continuum Eng. Fract. Mech. 61 1998 21 48
15. W.W. Klingbeil, and R.T. Shield Large-deformation analyses of bonded elastic mounts Z. Angew. Math. Phys. 17 1966 281 305
16. M. Marder Condensed Matter Physics 2000 Wiley New York
17. M. Marder Effect of atoms on brittle fracture Int. J. Fract. 130 2004 517 555
18. M. Marder Shock-wave theory of rupture of rubber Phys. Rev. Lett. 94 2005 048001/1-4
19. M. Marder, and S. Gross Origin of crack tip instabilities J. Mech. Phys. Solids 43 1995 1 48
20. W.V. Mars, and A. Fatemi Factors that affect the fatigue life of rubber: a literature survey Rubber Chem. Technol. 76 2004 391 412
21. M. Mooney A theory of large elastic deformation J. Appl. Phys. 11 1940 582 592
22. P. Mott, C. Roland, and R. Corsaro Acoustic and dynamic mechanical properties of a polyurethane rubber J. Acoust. Soc. Am. 111 2002 1782 1790
23. B. Noble Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations 1958 Pergamon New York
24. R.W. Ogden Non-Linear Elastic Deformations 1984 Wiley New York
25. P.J. Petersan, R.D. Deegan, M. Marder, and H.L. Swinney Cracks in rubber under tension exceed the shear wave speed Phys. Rev. Lett. 93 2004 015504/1-4
26. R.S. Rivlin Large elastic deformations of isotropic materials, i. fundamental concepts Philos. Trans. R. Soc. London A 240 1948 459 490
27. R.S. Rivlin Large elastic deformations of isotropic materials, vii experiments on the deformation of rubber Philos. Trans. R. Soc. London A 243 1948 251 288
28. R.A. Serway, and R.J. Beichner Physics for Scientists and Engineers fifth ed. 2000 Saunders Fort Worth
29. H.S. Seung, and D.R. Nelson Defects in flexible membranes with crystalline order Phys. Rev. A 38 1988 1005 1018
30. S.A. Silling Reformulation of elasticity theory for discontinuities and long-range forces J. Mech. Phys. Solids 48 2000 175 209
31. S.A. Silling, and F. Bobaru Peridynamic modeling of membranes and fibers Int. J. Non-Linear Mech. 40 2005 395 409
32. L. Slepyan Dynamics of a crack in a lattice Sov. Phys. Dokl. 26 1981 538 540
33. L.I. Slepyan Plane problem of a crack in a lattice Izv. Akad. Nauk SSSR Mekh. Tverd. Tela 16 1982 101 115
34. L.I. Slepyan Models and Phenomena in Fracture Mechanics 2002 Springer Berlin
35. F.H. Stillinger, and T.A. Weber Computer simulation of local order in condensed phases of silicon Phys. Rev. B 31 1985 5262
36. R. Thomson The physics of fracture Solid State Phys. 39 1986 1 129
37. L.R.G. Treloar The Physics of Rubber Elasticity third ed. 1975 Oxford University Press Oxford