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Coherent Precipitation β€” Phase Field Method

2005
Phase transformation is still the most efficient and effective way to produce various microstructures at mesoscales, and to control their evolution over time. In crystalline solids, phase transformations are usually accompanied by coherency strain generated by lattice misfit between coexisting phases.
C. Shen, Y. Wang
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The elastic strain energy of growth ledges on coherent and partially coherent precipitates

Metallurgical and Materials Transactions A, 1994
The formation rate of growth ledges on a faceted precipitate strongly affects the growth kinetics and the shape of the precipitate. An Eshelby-type model is used to compare the strain energy associated with the nucleation of a ledge on different facet planes of a body-centered cubic (bcc) precipitate in face-centered cubic (fcc) matrix.
G. Chen   +3 more
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On the theory of loss of coherency by spherical precipitates

Philosophical Magazine, 1969
Abstract Abstract An expression is derived for the equilibrium misfit of a spherical precipitate as a function of precipitate size. An expression is given for the critical precipitate radius beyond which it is energetically favourable for loss of coherency to occur. The effect of an externally applied stress on the above expressions is also considered.
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Loss in coherency and coarsening behavior of Al3Sc precipitates

Acta Materialia, 2004
Abstract The coarsening behavior of the Al3Sc particles in Al–0.2wt%Sc alloy at 673–763 K is studied on the basis of TEM observations with the numerical model. Emphasis is on the effects of coherent/semi-coherent transition of the particles. The radius for coherent/semi-coherent transition of the Al3Sc particles is determined from TEM micrographs as ...
S. Iwamura, Y. Miura
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Coherent Precipitate Strengthening Mechanisms in MgO

1975
MgO containing magnesia ferrite particles is a model system for the study of the interaction between dislocations and second phase particles in ceramic materials. Therefore, several investigations have been performed on two-phase MgO under this aspect [1–7]. Magnesia ferrite crystalizes as inverse spinel with disorder [18].
B. Reppich, H. Knoch
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Coarsening of ordered intermetallic precipitates with coherency stress

Acta Materialia, 2002
The morphological evolution and coarsening kinetics of ordered intermetallic precipitates with coherency stress were studied using a diffuse-interface phase-field model in two dimensions (2D). The emphasis is on the effects of precipitate volume fraction.
V. Vaithyanathan, L.Q. Chen
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Critical sizes for coherent to semicoherent transition in precipitates

International Journal of Materials Research, 2013
Abstract A coherent precipitate, on growth beyond a critical size, can become semicoherent through the formation of interfacial misfit dislocations. This investigation pertains to the finite element simulation of the state of stress of a coherent precipitate, its growth and the change in state of stress on the formation of an interfacial
Arun Kumar   +2 more
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An Estimate of the Precipitation Hardening by Coherent Particles

physica status solidi (a), 1982
The hardening of f.c.c. metal by a dispersion of coherent spherical precipitate particles and tetragonally distorted precipitate particles such as ellipsoidal or disc-shaped particles lying on {100} is analysed by using anisotropic elasticity theory. The misfit strains for tetragonally distorted particles are such that the principal axes of strain are ...
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A new theory of the homogeneous nucleation of a coherent precipitate

Philosophical Magazine A, 1983
Abstract The change in free energy of a system brought about by the precipitation of a coherent solute-rich phase from regular solution is evaluated using the statistical thermodynamic approach. A comparison of the enthalpy and entropy contributions revealed that the change in free energy accompanying nucleation arises not from the increase in the ...
Taichi Kamijo, Hiroshi Fukutomi
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Preferential growth of coherent precipitates at grain boundary

Materials Letters, 2020
Abstract Coherent precipitates are known to be more effective than their incoherent counterparts in pinning grain boundaries and impact the properties of alloys. In the present work, we showed the location preference of coherent M23C6 and NiAl precipitates formed at the grain boundaries in an Al-containing austenitic steel.
Hongyuan Wen   +4 more
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