2019
DOI: 10.1590/1980-5373-mr-2019-0235
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Generalizing Ellipsoidal Growth

Abstract: This paper generalizes previous work of Rios and Villa on spherical growth. The generalized equation applies to nucleation of ellipsoids according to an inhomogeneous Poisson point process. Microstructural evolution in three dimensions of nucleation and growth transformations of ellipsoids is simulated using the causal cone method. In the simulation, nuclei are located in space according to an inhomogeneous Poisson point process. The transformed regions grow with prolate and oblate ellipsoidal shapes. The elli… Show more

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Cited by 2 publications
(7 citation statements)
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“…The problem is the same for ellipsoidal growth nucleated on nuclei located in space according to a Poisson point process. It is well-known [15][16][17] that when ellipsoids are aligned, that is, their equivalent axes are parallel; there is an exact expression, see, for example, refs. 17,21 .…”
Section: Discussionmentioning
confidence: 99%
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“…The problem is the same for ellipsoidal growth nucleated on nuclei located in space according to a Poisson point process. It is well-known [15][16][17] that when ellipsoids are aligned, that is, their equivalent axes are parallel; there is an exact expression, see, for example, refs. 17,21 .…”
Section: Discussionmentioning
confidence: 99%
“…Figure 3 Visual inspection shows that the fully transformed microstructures generated by the oblate ellipsoids have a significant proportion of their interfacial area parallel to the plane 3 x 0 = . Compare, for instance, with the microstructure generated by ellipsoids nucleated in space according to a homogeneous Poisson point process from our previous work 17 .…”
Section: Microstructural Evolutionmentioning
confidence: 98%
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