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Title: Weakly nonlinear theory of secondary rippling instability in surfaces of stressed solids

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.4926739· OSTI ID:1228677
 [1];  [1];  [1]
  1. Department of Chemical Engineering, University of Massachusetts Amherst, Amherst, Massachusetts 01003-9303, USA

Sponsoring Organization:
USDOE
Grant/Contract Number:
FG02-07ER46407
OSTI ID:
1228677
Journal Information:
Journal of Applied Physics, Journal Name: Journal of Applied Physics Vol. 118 Journal Issue: 3; ISSN 0021-8979
Publisher:
American Institute of PhysicsCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (35)

Surface morphological response of crystalline solids to mechanical stresses and electric fields journal August 2011
Morphological instability in epitaxially strained dislocation-free solid films journal December 1991
The stress driven instability in elastic crystals: Mathematical models and physical manifestations journal December 1993
Surface patterns on single-crystal films under uniaxial stress: Experimental evidence for the Grinfeld instability journal November 1992
Surface microstructure of Zr 41.25 Ti 13.75 Cu 12.5 Ni 10.0 Be 22.5 , a bulk metallic glass journal June 1996
Interface instability in the drawing process of copper/tantalum conductors journal February 1999
On the stability of surfaces of stressed solids journal February 1989
Interface morphology development during stress corrosion cracking: Part I. Via surface diffusion journal July 1972
Shallow ripples with giant wavelengths observed by atomic force microscopy: Real effects and the report of a new artifact journal May 1996
Interface morphology development during stress corrosion cracking—II. Via volume diffusion journal March 1975
Rippling instability on surfaces of stressed crystalline conductors journal May 2009
Analysis of electromechanically induced long-wavelength rippling instability on surfaces of crystalline conductors journal March 2011
Dislocation-free Stranski-Krastanow growth of Ge on Si(100) journal April 1990
Stabilization of the surface morphology of stressed solids using thermal gradients journal May 2014
Influence of strain on semiconductor thin film epitaxy
  • Fitzgerald, E. A.; Samavedam, S. B.; Xie, Y. H.
  • Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 15, Issue 3 https://doi.org/10.1116/1.580428
journal May 1997
The effect of a thermal gradient on the electromigration-driven surface morphological stabilization of an epitaxial thin film on a compliant substrate journal July 2013
Amplitude expansion for the Grinfeld instability due to uniaxial stress at a solid surface journal March 1993
Surface Electromigration as a Moving Boundary Value Problem journal January 1997
Hierarchical wrinkling on elastomeric Janus spheres journal January 2012
Helium crystals under stress: The Grinfeld instability journal October 1992
Nonlinear evolution equation for the stress-driven morphological instability journal June 2002
Large-amplitude behavior of the Grinfeld instability: a variational approach journal October 2003
Unified theory of linear instability of anisotropic surfaces and interfaces under capillary, electrostatic, and elastostatic forces: The regrowth of epitaxial amorphous silicon journal October 2006
Stress-Induced Melting and Surface Instability of 4 He Crystals journal December 1992
Surface Instabilities in Cracks journal December 1998
Current-Induced Stabilization of Surface Morphology in Stressed Solids journal January 2008
Stabilization of the surface morphology of stressed solids using simultaneously applied electric fields and thermal gradients journal November 2014
Effects of mechanical stress on electromigration-driven transgranular void dynamics in passivated metallic thin films journal December 1998
Nonlinear evolution of the stress-driven morphological instability in a two-dimensional semi-infinite solid journal November 1994
Periodic surface instabilities in stressed polymer solids journal March 1995
Surface morphological stabilization of stressed crystalline solids by simultaneous action of applied electric and thermal fields journal April 2012
Galerkin boundary integral method for evaluating surface derivatives journal August 1998
Competing relaxation mechanisms in strained layers journal May 1994
Bifurcation of surface pattern in epitaxial thin films under anisotropic stresses journal January 2007
Theoretical analysis of electromigration-induced failure of metallic thin films due to transgranular void propagation journal February 1999

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