skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Authors:
 [1];  [1];  [1]
  1. Department of Chemical Engineering, University of Massachusetts Amherst, Amherst, Massachusetts 01003-9303, USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1228677
Grant/Contract Number:  
FG02-07ER46407
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Name: Journal of Applied Physics Journal Volume: 118 Journal Issue: 3; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English

Citation Formats

Du, Lin, Dasgupta, Dwaipayan, and Maroudas, Dimitrios. Weakly nonlinear theory of secondary rippling instability in surfaces of stressed solids. United States: N. p., 2015. Web. doi:10.1063/1.4926739.
Du, Lin, Dasgupta, Dwaipayan, & Maroudas, Dimitrios. Weakly nonlinear theory of secondary rippling instability in surfaces of stressed solids. United States. doi:10.1063/1.4926739.
Du, Lin, Dasgupta, Dwaipayan, and Maroudas, Dimitrios. Thu . "Weakly nonlinear theory of secondary rippling instability in surfaces of stressed solids". United States. doi:10.1063/1.4926739.
@article{osti_1228677,
title = {Weakly nonlinear theory of secondary rippling instability in surfaces of stressed solids},
author = {Du, Lin and Dasgupta, Dwaipayan and Maroudas, Dimitrios},
abstractNote = {},
doi = {10.1063/1.4926739},
journal = {Journal of Applied Physics},
number = 3,
volume = 118,
place = {United States},
year = {2015},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1063/1.4926739

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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

  • LaMadrid, M. A.; O'Connor, S. D.; Peker, A.
  • Journal of Materials Research, Vol. 11, Issue 6
  • DOI: 10.1557/JMR.1996.0186

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

  • Asaro, R. J.; Tiller, W. A.
  • Metallurgical and Materials Transactions B, Vol. 3, Issue 7
  • DOI: 10.1007/BF02642562

Shallow ripples with giant wavelengths observed by atomic force microscopy: Real effects and the report of a new artifact
journal, May 1996

  • Dai, Zhenxi
  • Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, Vol. 14, Issue 3
  • DOI: 10.1116/1.589196

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

  • Tomar, Vivek; Gungor, M. Rauf; Maroudas, Dimitrios
  • Applied Physics Letters, Vol. 94, Issue 18
  • DOI: 10.1063/1.3130742

Analysis of electromechanically induced long-wavelength rippling instability on surfaces of crystalline conductors
journal, March 2011

  • Tomar, Vivek; Gungor, M. Rauf; Maroudas, Dimitrios
  • Journal of Applied Physics, Vol. 109, Issue 5
  • DOI: 10.1063/1.3551580

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

  • Du, Lin; Dasgupta, Dwaipayan; Maroudas, Dimitrios
  • Applied Physics Letters, Vol. 104, Issue 18
  • DOI: 10.1063/1.4874879

Influence of strain on semiconductor thin film epitaxy
journal, May 1997

  • Fitzgerald, E. A.; Samavedam, S. B.; Xie, Y. H.
  • Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 15, Issue 3
  • DOI: 10.1116/1.580428

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

  • Sfyris, Georgios I.; Dasgupta, Dwaipayan; Maroudas, Dimitrios
  • Journal of Applied Physics, Vol. 114, Issue 2
  • DOI: 10.1063/1.4812289

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

  • Trindade, Ana C.; Canejo, João P.; Patrício, Pedro
  • Journal of Materials Chemistry, Vol. 22, Issue 41
  • DOI: 10.1039/c2jm35018a

Helium crystals under stress: The Grinfeld instability
journal, October 1992

  • Torii, Rodney H.; Balibar, Sebastien
  • Journal of Low Temperature Physics, Vol. 89, Issue 1-2
  • DOI: 10.1007/BF00692612

Nonlinear evolution equation for the stress-driven morphological instability
journal, June 2002

  • Xiang, Yang; E., Weinan
  • Journal of Applied Physics, Vol. 91, Issue 11
  • DOI: 10.1063/1.1477259

Large-amplitude behavior of the Grinfeld instability: a variational approach
journal, October 2003

  • Kohlert, P.; Kassner, K.; Misbah, C.
  • The European Physical Journal B - Condensed Matter, Vol. 35, Issue 4
  • DOI: 10.1140/epjb/e2003-00302-5

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

  • Du, Lin; Dasgupta, Dwaipayan; Maroudas, Dimitrios
  • Journal of Applied Physics, Vol. 116, Issue 17
  • DOI: 10.1063/1.4899248

Effects of mechanical stress on electromigration-driven transgranular void dynamics in passivated metallic thin films
journal, December 1998

  • Gungor, M. Rauf; Maroudas, Dimitrios; Gray, Leonard J.
  • Applied Physics Letters, Vol. 73, Issue 26
  • DOI: 10.1063/1.122913

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

  • Dasgupta, Dwaipayan; Sfyris, Georgios I.; Rauf Gungor, M.
  • Applied Physics Letters, Vol. 100, Issue 14
  • DOI: 10.1063/1.3698360

Galerkin boundary integral method for evaluating surface derivatives
journal, August 1998

  • Gray, L. J.; Maroudas, D.; Enmark, M. N.
  • Computational Mechanics, Vol. 22, Issue 2
  • DOI: 10.1007/s004660050352

Competing relaxation mechanisms in strained layers
journal, May 1994


Bifurcation of surface pattern in epitaxial thin films under anisotropic stresses
journal, January 2007

  • Pang, Yaoyu; Huang, Rui
  • Journal of Applied Physics, Vol. 101, Issue 2
  • DOI: 10.1063/1.2430771

Theoretical analysis of electromigration-induced failure of metallic thin films due to transgranular void propagation
journal, February 1999

  • Gungor, M. Rauf; Maroudas, Dimitrios
  • Journal of Applied Physics, Vol. 85, Issue 4
  • DOI: 10.1063/1.369532