Comptes Rendus
Initiation of geometric roughening in polycrystalline metal films
[Initiation d'une rugosité en surface des films métalliques polycristallins]
Comptes Rendus. Mécanique, Volume 336 (2008) no. 1-2, pp. 224-231.

Un modèle décrivant l'apparition de rugosités de surface induites par mécanisme plastique pour des films métalliques polycristallins soumis à des cycles thermiques est présenté. Le modèle porte sur des metaux à structure CFC, avec une taille de grain de l'ordre de l'épaisseur du film. Le substrat impose une déformation biaxiale au film. Les calculs montrent que des ondulations se développent en surface lorsque le glissement plastique s'initie, au delà d'une déformation critique. Sous chargement monotone, l'amplitude des ondulations, dépendante de l'anisotropie plastique, augmente proportionellement à la valeur de la déformation imposée. Sous chargement cyclique, trois stades de croissance de l'amplitude provoquant une rugosité marquée sont identifiés.

The mechanics of plasticity-induced roughening of initially planar polycrystalline metal films upon thermal cycling is presented. The emphasis is on films of FCC metals having grain size comparable to their thickness. In the model, the elastic substrate imposes a biaxial in-plane mismatch strain on the film. Calculations demonstrate how surface undulations develop with a length scale governed by the grain size, when plastic slip initiates above a critical strain. Under monotonic straining, the undulation amplitude grows in proportion to the imposed strain with extent dependent on the slip anisotropy. Upon cyclic plastic straining, three growth stages have been identified with the possibility of substantial roughness development.

Publié le :
DOI : 10.1016/j.crme.2007.11.013
Keywords: Solids, Thin films, Polycrystals, Plasticity, Surface roughness
Mot clés : Solides, Films minces, Polycristaux, Plasticité, Rugosité de surface
Guillaume Parry 1 ; Anthony G. Evans 2 ; John W. Hutchinson 3

1 SIMAP/LTPCM, CNRS UMR 5266-INPG-UJF, 1130, rue de la Piscine, 38402 St Martin d'Hères, France
2 Department of Materials, University of California, Santa Barbara, CA 93106, USA
3 School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
@article{CRMECA_2008__336_1-2_224_0,
     author = {Guillaume Parry and Anthony G. Evans and John W. Hutchinson},
     title = {Initiation of geometric roughening in polycrystalline metal films},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {224--231},
     publisher = {Elsevier},
     volume = {336},
     number = {1-2},
     year = {2008},
     doi = {10.1016/j.crme.2007.11.013},
     language = {en},
}
TY  - JOUR
AU  - Guillaume Parry
AU  - Anthony G. Evans
AU  - John W. Hutchinson
TI  - Initiation of geometric roughening in polycrystalline metal films
JO  - Comptes Rendus. Mécanique
PY  - 2008
SP  - 224
EP  - 231
VL  - 336
IS  - 1-2
PB  - Elsevier
DO  - 10.1016/j.crme.2007.11.013
LA  - en
ID  - CRMECA_2008__336_1-2_224_0
ER  - 
%0 Journal Article
%A Guillaume Parry
%A Anthony G. Evans
%A John W. Hutchinson
%T Initiation of geometric roughening in polycrystalline metal films
%J Comptes Rendus. Mécanique
%D 2008
%P 224-231
%V 336
%N 1-2
%I Elsevier
%R 10.1016/j.crme.2007.11.013
%G en
%F CRMECA_2008__336_1-2_224_0
Guillaume Parry; Anthony G. Evans; John W. Hutchinson. Initiation of geometric roughening in polycrystalline metal films. Comptes Rendus. Mécanique, Volume 336 (2008) no. 1-2, pp. 224-231. doi : 10.1016/j.crme.2007.11.013. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.11.013/

[1] A.G. Evans; D.R. Mumm; J.W. Hutchinson; G.H. Meier; F.S. Pettit Mechanisms controlling the durability of thermal barrier coatings, Prog. Mater. Sci., Volume 46 (2001), pp. 505-553

[2] A.S. Budiman; W.D. Nix; N. Tamura; B.C. Valek; K. Gadre; J. Maiz; R. Spolenak; J.R. Patel Crystal plasticity in Cu damascene interconnect lines undergoing electromigration as revealed by synchrotron X-ray microdiffraction, Appl. Phys. Lett., Volume 88 (2006), p. 233515

[3] J. Nucci; S. Krämer; E. Artz Local strains measured in Al lines during thermal cycling and electromigration using convergent-beam electron diffraction, J. Mater. Res., Volume 20 (2005) no. 7, pp. 1851-1859

[4] R. Panat; K.J. Hsia; D.G. Cahill Evolution of surface waviness in thin films via volume and surface diffusion, J. Appl. Phys., Volume 97 (2005), p. 013521

[5] D.S. Balint; J.W. Hutchinson An analytical model of rumpling in thermal barrier coatings, J. Mech. Phys. Solids, Volume 53 (2005), pp. 949-973

[6] D.S. Balint; T. Xu; J.W. Hutchinson; A.G. Evans Influence of bond coat thickness on cyclic rumpling of thermally grown oxides, Acta Mater., Volume 54 (2006), pp. 1815-1820

[7] Z. Zhao; R. Radovitzky; A. Cuitiño A study of surface roughening in fcc metals using direct numerical simulation, Acta Mater., Volume 52 (2004), pp. 5791-5804

[8] J.R. Rice Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity, J. Mech. Phys. Solids, Volume 19 (1971), pp. 433-455

[9] ABAQUS software, version 6.6, Hibbit, Karlsson & Sorensen, Inc., 2006

[10] Y. Huang, A user-material subroutine incorporating single crystal plasticity in the ABAQUS finite element program, report for the Division of Applied Sciences, Harvard, 1991

[11] M.F. Ashby Materials Selection in Mechanical Design, Butterworth–Heinemann, Oxford, 2005

[12] I.T. Spitsberg; D.R. Mumm; A.G. Evans On the failure mechanisms of thermal barrier coatings with diffusion aluminide bond coatings, Mater. Sci. Engrg. A, Volume 394 (2005), pp. 176-191

Cité par Sources :

Commentaires - Politique


Ces articles pourraient vous intéresser

Laminar free convection in undulated cavity with non-uniform boundary conditions

Amina Sabeur-Bendehina; O. Imine; L. Adjlout

C. R. Méca (2011)


Discrete woven structure model: yarn-on-yarn friction

Bilel Ben Boubaker; Bernard Haussy; Jean-François Ganghoffer

C. R. Méca (2007)


Aspect ratio of undulation in a vertically vibrated granular layer

Yoshihito Dose; Osamu Sano

C. R. Méca (2016)