Large-amplitude behavior of the Grinfeld instability: a variational approach
@article{Kohlert2003LargeamplitudeBO, title={Large-amplitude behavior of the Grinfeld instability: a variational approach}, author={P. Kohlert and K. Kassner and C. Misbah}, journal={The European Physical Journal B - Condensed Matter and Complex Systems}, year={2003}, volume={35}, pages={493-504} }
Abstract.In previous work, we have performed amplitude expansions of the continuum equations for the Grinfeld instability and carried them to high orders. Nevertheless, the approach turned out to be restricted to relatively small amplitudes. In this article, we use a variational approach in terms of multi-cycloid curves instead. Besides its higher precision at given order, the method has the advantages of giving a transparent physical meaning to the appearance of cusp singularities and of not… CONTINUE READING
Figures from this paper
6 Citations
Weakly nonlinear theory of secondary rippling instability in surfaces of stressed solids
- Chemistry
- 2015
- 5
Interplay of internal stresses, electric stresses, and surface diffusion in polymer films.
- Materials Science, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2011
- 13
- PDF
References
SHOWING 1-10 OF 32 REFERENCES
Large amplitude behavior of the Grinfeld instability, Part I: High-order weakly nonlinear analysis
- Physics
- 2002
- 2
- PDF
Phase-field modeling of stress-induced instabilities.
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2001
- 91
The stress driven instability in elastic crystals: Mathematical models and physical manifestations
- Physics
- 1993
- 148
Nonlinear evolution of the stress-driven morphological instability in a two-dimensional semi-infinite solid
- Materials Science
- 1994
- 112
- Highly Influential
Strong coupling between diffusive and elastic instabilities in directional solidification.
- Physics, Medicine
- Physical review letters
- 1996
- 13
- PDF