2018
DOI: 10.3390/met8090695
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Estimating the Effective Elastic Parameters of Nodular Cast Iron from Micro-Tomographic Imaging and Multiscale Finite Elements: Comparison between Numerical and Experimental Results

Abstract: Herein, we describe in detail a methodology to estimate the effective elastic parameters of nodular cast iron, using micro-tomography in conjunction with multiscale finite elements. We discuss the adjustment of the image acquisition parameters, address the issue of the representative-volume choice, and present a brief discussion on image segmentation. In addition, the finite-element computational implementation developed to estimate the effective elastic parameters from segmented microstructural images is desc… Show more

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Cited by 12 publications
(7 citation statements)
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References 28 publications
(47 reference statements)
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“…We calculate the elastic parameters of the effective layers for varying thicknesses of the CoFeB layer. This is done by adapting the proportion method, where elastic parameters of individual layers are multiplied by the volume fraction of the effective layer, added thereafter, and averaged out with the total volume 64 , 65 . There is no unique way to do this, and different literatures propose different procedures 66 , 67 .…”
Section: Discussionmentioning
confidence: 99%
“…We calculate the elastic parameters of the effective layers for varying thicknesses of the CoFeB layer. This is done by adapting the proportion method, where elastic parameters of individual layers are multiplied by the volume fraction of the effective layer, added thereafter, and averaged out with the total volume 64 , 65 . There is no unique way to do this, and different literatures propose different procedures 66 , 67 .…”
Section: Discussionmentioning
confidence: 99%
“…Now, taking f M = 16 vol.%, the M s temperature was calculated as 42 °C. The tensile stress was calculated according to Equations (2)–(6) using the following parameters: T sol = 1320 °C [ 49 ], E = 200 GPa [ 62 ], ν = 0.22 [ 63 ], α A = 18.6 × 10 −6 K −1 , and α M = 13.9 × 10 −6 K −1 [ 64 ]. The volumetric effect of austenite→martensite transformation was derived from the equation: Δ V A → M = 2.5–1.08·(C γ %) [ 65 ] assuming a carbon content in austenite (C γ %) of 1.50 wt.%.…”
Section: Discussionmentioning
confidence: 99%
“…In addition, the work function of a material is also dependent on other properties, of particular interest here is the Young's modulus as was demonstrated for polycrystalline metals (Hua and Li, 2011). In the case of ductile cast iron, the Young's modulus is a locally varying function due to the graphite nodules (Pereira et al, 2018;Speich et al, 1980) which in turn locally impacts the EWF. These considerations raised the expectation that the graphite nodules in ductile cast iron would affect corrosion mostly at the early stages.…”
Section: Panelmentioning
confidence: 99%