How to determine composite material properties using numerical homogenization
By Erik Andreassen, Casper Schousboe Andreasen. 2014
476 citations recorded by the source corpus.
Abstract Numerical homogenization is an efficient way to determine effective macroscopic properties, such as the elasticity tensor, of a periodic composite material. In this paper an educational description of the method is provided based on a short, self-contained Matlab implementation. It is shown how the basic code, which computes the effective elasticity tensor of a two material composite, where one material could be void, is easily extended to include more materials. Furthermore, extensions to homogenization of conductivity, thermal expansion, and fluid permeability are described in detail. The unit cell of the periodic material can take the shape of a square, rectangle, or parallelogram, allowing for all kinds of 2D periodicities.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/552d7172b3a1b738332295f3c2e51dcd8266deac
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In Civil and Structural Engineering
In Computational Theory and Mathematics
In Mechanics of Materials
Citations in the corpus
- Globally Approximate Gaussian Processes for Big Data With Application to Data-Driven Metamaterials Design (2019, methodology): “The properties of new feasible structures are then calculated via numerical homogenization [60] and added to the dataset.”
- Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes (2019, methodology): “In this work, the homogenized elasticity tensor are calculated by the homogenization theory [47] for TPLS-based unit cellular structures.”
- A Survey of Modeling of Lattice Structures Fabricated by Additive Manufacturing (2017, methodology): “The educational description of this method has been provided based on a short Matlab implementation by Andreassen [86].”
- Homogenization‐based topology optimization for high‐resolution manufacturable microstructures (2018, methodology): “the publicly available and easy-to-use MATLAB code by Andreassen and Andreasen is used.(26) With this code, a mesh consisting of 100 × 100 bilinear finite elements has been created, on which CH has been determined for 51 × 51 different combinations of a1 and a2.”