1999
DOI: 10.1016/s1359-6454(99)00178-0
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Crack-like grain-boundary diffusion wedges in thin metal films

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Cited by 203 publications
(145 citation statements)
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“…The geometry of the crack is shown in ®gure 4 (a), with the dislocation analogue in ®gure 4 (b). This analogy has been used in a recent theoretical study of grain-boundary`di usion wedges' by Gao et al (1999), although they concentrated on timedependent stress relaxation phenomena rather than cracking per se. These workers used Head's (1953) approach to describe the stress ®eld of an array of in®nitesimal edge dislocations, b…x 0 † dx 0 , extending from the free surface (xˆ0) to the tip of the di usion wedge (or crack) at xˆc.…”
Section: } 4 Discussionmentioning
confidence: 99%
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“…The geometry of the crack is shown in ®gure 4 (a), with the dislocation analogue in ®gure 4 (b). This analogy has been used in a recent theoretical study of grain-boundary`di usion wedges' by Gao et al (1999), although they concentrated on timedependent stress relaxation phenomena rather than cracking per se. These workers used Head's (1953) approach to describe the stress ®eld of an array of in®nitesimal edge dislocations, b…x 0 † dx 0 , extending from the free surface (xˆ0) to the tip of the di usion wedge (or crack) at xˆc.…”
Section: } 4 Discussionmentioning
confidence: 99%
“……3 † Gao et al (1999) have given the solution to equation (3). They showed that the crack-opening displacement " c 0 b…x 0 † dx 0 at the free surface, is approximately 5:8¼c=E, where E is Young's modulus.…”
Section: } 4 Discussionmentioning
confidence: 99%
“…Moving pre-existing dislocations inside single initially large bamboo grains causes the formation of subgrains (grains with a misorientation lower than 10°) [6]. Then GB diffusive deformation largely dominates plastic strain due to thermal gradients [4,5]. In electrothermally aged devices, diffusion, and especially GB diffusion, is very probably at the origin of cavities formation as well as cracks running from the surface to the transistor area following the GBs (Fig.…”
Section: Al Metallization Outside Of the Bonding Areamentioning
confidence: 99%
“…As aging progresses, the degradation of the metal may increase its resistance, which in turn will increase the temperature of the device in the on-state and therefore augment the mechanical stress. This feedback causes a degradation of the top metal through specific processes [4,5]. The wire bondings, that are ultrasonic cold welded on top of this metallization, complexify significantly the initial device structure [6].…”
Section: Introductionmentioning
confidence: 99%
“…On prédit que le fluage puisse se produire à d'autant plus basse température que les films sont minces. Gao [50] a modélisé le fluage diffusionnel confiné dans des films de Cu. Dans le cas des films de siliciures la relaxation par un mécanisme diffusionnel requiert le mouvement des deux espèces atomiques (le métal et le silicium).…”
Section: Propriétés Mécaniques Des Siliciures : éLasticité Et Plasticitéunclassified