2014
DOI: 10.1016/j.commatsci.2013.09.044
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Effective properties of nodular cast-iron: A multi-scale computational approach

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Cited by 19 publications
(18 citation statements)
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“…This effect can be explained as the system represented in Equation (2) becomes indeterminate as the curve degree used is greater than the number of points that the contour has, generating spurious Table 1 shows the generated models, where geometric evolution it can be seen as the Bézier curve degree increases. In relation to the models obtained using a fixed Bézier curve degree for all of the nodules, it can be seen that the curves that are obtained with Bézier degrees of 4 are curves with high CSF est values and high E r values, therefore do not approximate adequately to the geometry of the digital contours; on the other hand, as the curve degree increases (degree 10), the curves approximate to the contours obtained digitally preserving the smoothness that characterizes them, unlike the models that are obtained with commercial img2CAD software and the models that are obtained by another methodologies [11,14,16], where no smooth algorithms has been applied.…”
Section: Geometric Comparison Of the Obtained Modelsmentioning
confidence: 88%
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“…This effect can be explained as the system represented in Equation (2) becomes indeterminate as the curve degree used is greater than the number of points that the contour has, generating spurious Table 1 shows the generated models, where geometric evolution it can be seen as the Bézier curve degree increases. In relation to the models obtained using a fixed Bézier curve degree for all of the nodules, it can be seen that the curves that are obtained with Bézier degrees of 4 are curves with high CSF est values and high E r values, therefore do not approximate adequately to the geometry of the digital contours; on the other hand, as the curve degree increases (degree 10), the curves approximate to the contours obtained digitally preserving the smoothness that characterizes them, unlike the models that are obtained with commercial img2CAD software and the models that are obtained by another methodologies [11,14,16], where no smooth algorithms has been applied.…”
Section: Geometric Comparison Of the Obtained Modelsmentioning
confidence: 88%
“…Table 1 shows the models obtained from four nodules (A, B, C and D) using the three different methods mentioned, besides the CSF est and E r values for each graphite nodule are shown, where the maximum errors are highlighted in bold. Regarding the models that are generated using a fixed Bézier degree for all the nodules, three different models were created with the following degrees: 4, 10, and 18. high CSFest values and high Er values, therefore do not approximate adequately to the geometry of the digital contours; on the other hand, as the curve degree increases (degree 10), the curves approximate to the contours obtained digitally preserving the smoothness that characterizes them, unlike the models that are obtained with commercial img2CAD software and the models that are obtained by another methodologies [11,14,16], where no smooth algorithms has been applied. Table 1.…”
Section: Geometric Comparison Of the Obtained Modelsmentioning
confidence: 94%
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“…They are oversimplified when graphite morphologies should be investigated. RVE models obtained directly according to micrographs are shown in [24,[34][35][36]. Lastly, a 3D UCM of a single inclusion has been developed in [37] by performing metallographic investigation of up to 100 slices of the same cross section.…”
Section: Introductionmentioning
confidence: 99%