Modeling coatings under substrate compression

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 13, 1999, Pages 8541-8550

  Handge, UlrichA ^a   Sokolov, IgorM ^a   Blumen, Alexander ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243755056     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.8541     Document Type: Article

References (42)

1. T. Kozawa, T. Kachi, H. Kano, H. Nagase, N. Koide, and K. Manabe, J. Appl. Phys.77, 4389 (1995).
2. H. C. Liu and S P. Murarka, J. Appl. Phys.72, 3458 (1992).
3. Y. Leterrier, Y. Wyser, J.-A. E. Månson, and J. Hilborn, J. Adhes.44, 213 (1994).
4. H. Colina, L. de Arcangelis, and S. Roux, Phys. Rev. B48, 3666 (1993).
5. P. Meakin, in Statistical Models for the Fracture of Disordered Media, edited by H. J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990).
6. T. Walmann, A. Malthe-Sørenssen, J. Feder, T. Jøssang, P. Meakin, and H H. Hardy, Phys. Rev. Lett.77, 5393 (1996).
7. O. Morgenstern, I M. Sokolov, and A. Blumen, J. Phys. A26, 4521 (1993).
8. O. Morgenstern, I M. Sokolov, and A. Blumen, Europhys. Lett.22, 487 (1993).
9. T. Hornig, I M. Sokolov, and A. Blumen, Phys. Rev. E54, 4293 (1996).
10. U. A. Handge, I M. Sokolov, and A. Blumen, Europhys. Lett.40, 275 (1997).
11. J. V. Andersen, D. Sornette, and K.-t. Leung, Phys. Rev. Lett.78, 2140 (1997).
12. N. Bowden, S. Brittain, A G. Evans, J W. Hutchinson, and G M. Whitesides, Nature (London)393, 146 (1998).
13. L. D. Landau and E M. Lifshitz, Theory of Elasticity, 3rd ed. (Pergamon, Oxford, 1995).
14. S. P. Timoshenko and J M. Gere, Theory of Elastic Stability, 2nd ed. (McGraw-Hill, Singapore, 1963).
15. M. A. Biot, Q. Appl. Math.XVII(2), 185 (1959).
16. M. A. Biot and H. Odé, Q. Appl. Math.XIX(4), 351 (1962).
17. G. Hunt, H. Mühlhaus, B. Hobbs, and A. Ord, Geol. Rundsch.85, 58 (1996).
18. A.I.M. Whiting and G W. Hunt, Math. Geol.29, 705 (1997).
19. Y. Pomeau, J. Phys. (France) Lett.42, L1 (1981).
20. W. Zimmermann and L. Kramer, J. Phys. (France)46, 343 (1985).
21. A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th ed. (Dover, New York, 1944).
22. J. E. Marsden and T J R. Hughes, Mathematical Foundations of Elasticity, 1st ed. (Dover, New York, 1994).
23. L. Bourdieu, J. Daillant, D. Chatenay, A. Braslau, and D. Colson, Phys. Rev. Lett.72, 1502 (1994).
24. A. Saint-Jalmes and F. Gallet, Eur. Phys. J. B2, 489 (1998).
25. M. Doi and S F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
26. M. Marder and X. Liu, Phys. Rev. Lett.71, 2417 (1993).
27. J. W. Chung, A. Roos, J. Th. M. De Hosson, and E. van der Giessen, Phys. Rev. B54, 15 094 (1996).
28. K. M. Crosby and R M. Bradley, Phys. Rev. E55, 6084 (1997).
29. V. I. Arnol’d, Catastrophe Theory, 3rd ed. (Springer-Verlag, Berlin, 1992).
30. J.M.T. Thompson and L N. Virgin, Phys. Lett. A126, 491 (1988).
31. G. W. Hunt, H M. Bolt, and J M T. Thompson, Proc. R. Soc. London, Ser. A425, 245 (1989).
32. G. W. Hunt and M K. Wadee, Proc. R. Soc. London, Ser. A434, 485 (1991).
33. G. W. Hunt, M K. Wadee, and N. Shiacolas, J. Appl. Mech.60, 1033 (1993).
34. V. Tvergaard and A. Needleman, J. Appl. Mech.47, 613 (1980).
35. N. W. Ashcroft and N D. Mermin, Solid State Physics (Saunders College, Fort Worth, 1976).
36. P. E. Rouse, Jr., J. Chem. Phys.21, 1272 (1953).
37. M. Koch, J.-U. Sommer, and A. Blumen, J. Chem. Phys.106, 1248 (1997).
38. W. Wintz, R. Everaers, and U. Seifert, J. Phys. I7, 1097 (1997).
39. J.M.T. Thompson and G W. Hunt, A General Theory of Elastic Stability (Wiley, London, 1973).
40. W. H. Press, B P. Flannery, S A. Teukolsky, and W T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1986).
41. U. M. Ascher, R M M. Mattheij, and R D. Russell, Numerical Solution of Boundary Value Problems for Ordinary Differential Equations (SIAM, Philadelphia, 1995).
42. L. Fox, The Numerical Solution of Two-Point Boundary Problems in Ordinary Differential Equations (Clarendon, Oxford, 1957).