1996
DOI: 10.1051/jp4:1996112
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Internal Mismatch Stresses in Nickel-Based Superalloys : A Finite Element Approach

Abstract: Abstract. A three-dimensional finite element (F.E.) model is used to estimate the mismatch stresses at a microscopic scale in y -y ' single-crystal nickel-based snpedloys. F.E. calculations point out the specificity of stress/strain distributions in these alloys, in particular the fact that internal stresses concentrate in the connected y matrix. The analysis of stress/strain fields and elastic energy evolution as a function of precipitate morphology and volume fraction allows to explain some atypical precipit… Show more

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Cited by 12 publications
(3 citation statements)
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“…The amorphous nature of the nitride precipitates makes it impossible for this morphology to be of crystallographic origin. It is rather thought that it is due to the matrix elastic anisotropy and that this particular shape minimizes the elastic strain energy related to precipitation, as similar morphologies have already been explained with this parameter in different systems,17 especially when the precipitate is stiffer than the matrix,18 exactly the situation described in this paper.…”
Section: Resultssupporting
confidence: 69%
“…The amorphous nature of the nitride precipitates makes it impossible for this morphology to be of crystallographic origin. It is rather thought that it is due to the matrix elastic anisotropy and that this particular shape minimizes the elastic strain energy related to precipitation, as similar morphologies have already been explained with this parameter in different systems,17 especially when the precipitate is stiffer than the matrix,18 exactly the situation described in this paper.…”
Section: Resultssupporting
confidence: 69%
“…( 2 –5) 64 – 69 : where M = 3.06 for FCC structure (Taylor factor) 68 , α ε = 2.6 (a constant) 66 , 67 , m = 0.85 (a constant) 70 , 71 , δ c = 2 δ /3 66 , 67 , the constrained lattice misfit. G = 81 GPa and ΔG = 4 GPa are the shear modulus of the matrix and the shear modulus misfit between precipitates and matrix, respectively 72 ; b = 0.254 nm is the Burgers vector 6 , 72 ; r is the average particle size (i.e., the average edge length of cuboidal precipitates measured from experimental observations) and f is the volume fraction of the γ′ precipitates, respectively; γ APB = 0.12 J/m 2 is the anti-phase boundary energy of γ′-Ni 3 Al 72 ; ν is the Poisson ratio ( ν = 0.35 for Ni-base superalloys 73 ), and λ p is the inter-precipitate space.…”
Section: Correlations Among Lattice Misfit Particle Morphology and mentioning
confidence: 99%
“…The same reflection type of the precipitate (220 TiC ) and an extra spot of compressed matrix planes (220 γ-def ) are marked in the picture. It is known that TiC carbide precipitates in "cube-to-cube "orientation and, due to a large mismatch between the precipitate and the matrix lattice (a γ = 0.360 nm, a TiC = 0.433 nm), precipitation causes strong strain around the particles [31,32]. Some of the carbides were surrounded with dislocation loops to reduce the elastic strain in the matrix [33].…”
Section: Transmission Electron Microscopymentioning
confidence: 99%