Nonlinear waves in 1-D solids with microstructure

Materials Physics and Mechanics

Volumn 7, Issue 1, 2004, Pages 9-16

  Pastrone, Franco ^a   Cermelli, Paolo ^a   Porubov, Alexey ^a  

^a UNIVERSITY OF TURIN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLIFICATION; ELECTROMAGNETIC WAVE ATTENUATION; EQUATIONS OF MOTION; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; STRAIN;

EULER-LAGRANGE EQUATIONS; LAGRANGIAN COORDINATE; NONLINEAR WAVES; SOLITARY WAVES;

MICROSTRUCTURE;

EID: 4944262061     PISSN: 16052730     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (25)

1. A. Berezovski, J. Engelbrecht and G.A. Maugin // Eur. J. Mech. A, Solids 22 (2003) 257.
2. G. Capriz, Continua with Microstructure (Springer, New York, 1989).
3. P. Cermelli and F. Pastrone, In: Nonlinear Waves in Solids, ed. by J.L. Wegner and F.R. Nordwood (ASME Book AMR 137, 1995) p. 279.
4. P. Cermelli and F. Pastrone // Proc. Estonian Acad. Sci. Phys. Math., 46 (1997) 32.
5. P. Cermelli and F. Pastrone // Proc. Estonian Acad. Sci. Phys. Math., 46 (1997) 209.
6. J. Engelbrecht, Nonlinear wave processes of deformation in solids (Pitman, Boston, 1983).
7. J. Engelbrecht, Nonlinear Wave Dynamics: Complexity nad Simplicity (Kluwer, Dordrecht, 1997).
8. J. Engelbrecht and M. Braun // Appl. Mech. Rev. 51 (1998) 475.
9. J. Engelbrecht, P. Cermelli and F. Pastrone, In: Geometry, Continua and Microstructure, ed. by G. Maugin (Hermann Publ., Paris,1999) 99.
10. J. Engelbrecht and F. Pastrone // Proc. Estonian Acad. Sci. Phys. Math., 52 (2003) 12.
11. V.I. Erofeev and A.I. Potapov // Int. J. Nonl. Mech. 28 (1993) 483.
12. I.L Kliakhandler, A.V. Porubov and M.G. Velarde // Phys. Rev. E 62 (2000) 4959.
13. J. Ivanova, V. Valeva and F. Pastrone, In: Proc. 9th Natl. Congress on Th. Appl. Mech., ed. by A. Baltov, Y. A. Ivanov and E. Manoach, 1 (2001) p. 505.
14. G.A. Maugin // J. Nonequil. Thermodyn. 15 (1990) 173.
15. G.A. Maugin, Material Inhomogeneities in Elasticity (Chapman and Hall, London, 1993).
16. G.A. Maugin // Proc. Estonian Acad. Sci. Phys. Math. 44 (1995) 40.
17. G.A. Maugin, Nonlinear Waves in Elastic Crystals (Oxford University Press, 1999).
18. R.D. Mindlin //Arch. Rat. Mech. Anal. 16 (1964) 51.
19. E.J. Parkes and B.R. Duffy // Comp. Phys. Comm. 98 (1996) 288.
20. F. Pastrone // Proc. Estonian Acad. Sci. Phys. Math. 52 (2003) 21.
21. A.V. Porubov and F. Pastrone // Quad. Dip. Mat. Univ. Torino 56 (2001).
22. A. Porubov and F. Pastrone // Int. J. Nonlinear Mech., (to appear).
23. A.V. Porubov and M.G. Velarde // Wave Motion 31 (2000) 197.
24. A.V. Porubov and M.G. Velarde // Wave Motion 35 (2001) 189.
25. G.B. Whitham, Linear and Nonlinear Waves (J. Wiley, New York, 1974).