2022
DOI: 10.3390/encyclopedia2020072
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Homogenization Methods of Lattice Materials

Abstract: The existing methods for analyzing the behaviors of lattice materials require high computational power. The homogenization method is the alternative way to overcome this issue. Homogenization is an analysis to understand the behavior of an area of lattice material from a small portion for rapid analysis and precise approximation. This paper provides a summary of some representative methodologies in homogenization.

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Cited by 14 publications
(4 citation statements)
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“…The homogenization method plays a pivotal role in the design and analysis of those trusses by providing a means to derive effective macroscopic properties from the unit cell behavior [36,37]. This method involves averaging the mechanical properties over a representative volume element (RVE) to obtain equivalent continuum properties, thereby simplifying the analysis of complex lattice geometries [38][39][40][41][42][43][44]. Homogenization techniques are particularly beneficial in the early stages of design, where they enable efficient optimization and performance prediction without resorting to computationally expensive full-scale simulations.…”
Section: Introductionmentioning
confidence: 99%
“…The homogenization method plays a pivotal role in the design and analysis of those trusses by providing a means to derive effective macroscopic properties from the unit cell behavior [36,37]. This method involves averaging the mechanical properties over a representative volume element (RVE) to obtain equivalent continuum properties, thereby simplifying the analysis of complex lattice geometries [38][39][40][41][42][43][44]. Homogenization techniques are particularly beneficial in the early stages of design, where they enable efficient optimization and performance prediction without resorting to computationally expensive full-scale simulations.…”
Section: Introductionmentioning
confidence: 99%
“…This peculiarity makes lattice materials to behave as structures at the u.c. IOP Publishing doi:10.1088/1757-899X/1275/1/012003 2 scale (meso scale) and as materials at the macro scale [13][14][15]. Thanks to their structure, lattice materials can be architected, including structural heterogeneities and multiscale substructures, to achieve combinations of properties not found in conventional engineering materials.…”
Section: Introductionmentioning
confidence: 99%
“…(2) Modeling based on representative volume element (RVE) [12][13][14][15][16][17][18][19][20]. Cellular materials include materials with either uniform or non-uniform unit cells.…”
Section: Introductionmentioning
confidence: 99%