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Data-Driven Computational Homogenization Method Based on Euclidean Bipartite Matching
- Publication Year :
- 2020
- Publisher :
- American Society of Civil Engineers (ASCE), 2020.
-
Abstract
- Image processing methods combined with scanning techniques - for example, microscopy or microtomography - are now frequently being used for constructing realistic microstructure models that can be used as representative volume elements (RVEs) to better characterize heterogeneous material behavior. As a complement to those efforts, the present study introduces a computational homogenization method that bridges the RVE and material-scale properties in situ. To define the boundary conditions properly, an assignment problem is solved using Euclidean bipartite matching through which the boundary nodes of the RVE are matched with the control nodes of the rectangular prism bounding the RVE. The objective is to minimize the distances between the control and boundary nodes, which, when achieved, enables the bridging of scale-based features of both virtually generated and image-reconstructed domains. Following the minimization process, periodic boundary conditions can be enforced at the control nodes, and the resultingboundary value problem can be solved to determine the local constitutive material behavior. To verify the proposed method, virtually generated domains of closed-cell porous, spherical particle-reinforced, and fiber-reinforced composite materials are analyzed, and the results are compared with analytical Hashin-Shtrikman and Halpin-Tsai methods. The percent errors are within the ranges from 0.04% to 3.3%, from 2.7% to 14.9%, and from 0.5% to 13.2% for porous, particle-reinforced, and fiber-reinforced composite materials, respectively, indicating that the method has promising potential in the fields of image-based material characterization and computational homogenization.
- Subjects :
- Microscopy
Computer science
Mechanical Engineering
Computational homogenization
02 engineering and technology
010402 general chemistry
021001 nanoscience & nanotechnology
Microstructure
Representative volume element
01 natural sciences
Homogenization (chemistry)
0104 chemical sciences
Data-driven
Mechanics of Materials
Microtomography
Euclidean geometry
Assignment problem
Bipartite graph
Representative elementary volume
0210 nano-technology
Material characterization
Algorithm
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....fb06378e2ac46e786e309708db389304