Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy

2011 ◽  
Vol 9 (2) ◽  
pp. 624-653 ◽  
Author(s):  
Todd Arbogast
Keyword(s):  
Finite Elements ◽  
Multiscale Finite Elements

scholarly journals Subgrid Upscaling and Mixed Multiscale Finite Elements

2006 ◽  
Vol 44 (3) ◽  
pp. 1150-1171 ◽  
Author(s):  
Todd Arbogast ◽  
Kirsten J. Boyd
Keyword(s):  
Finite Elements ◽  
Multiscale Finite Elements

scholarly journals Estimating the Effective Elastic Parameters of Nodular Cast Iron from Micro-Tomographic Imaging and Multiscale Finite Elements: Comparison between Numerical and Experimental Results

Metals ◽  
2018 ◽  
Vol 8 (9) ◽  
pp. 695
Author(s):  
Andre Pereira ◽  
Marcio Costa ◽  
Carla Anflor ◽  
Juan Pardal ◽  
Ricardo Leiderman
Keyword(s):  
Cast Iron ◽  
Finite Elements ◽  
Nodular Cast Iron ◽  
Tomographic Imaging ◽  
Experimental Results ◽  
Elastic Parameters ◽  
Computational Costs ◽  
Computational Implementation ◽  
Micro Tomography ◽  
Multiscale Finite Elements

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 described, indicating the corresponding computational costs. We applied the proposed methodology to a nodular cast iron, and estimated the graphite elastic parameters through a comparison between the numerical and experimental results.

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