How to calculate relative density of lattice structures ?
Best insight from top research papers
To calculate the relative density of lattice structures, various methods and approaches have been proposed in the research literature. Park et al. developed equations to determine relative density based on the boundary box size and strut radius of unit cells, achieving high reliability. Song et al. introduced a local relative density mapping method that establishes a relationship between elements' relative density and struts' cross-sectional area, enabling automatic determination of strut diameters in lattice structures. Libin et al. utilized a representative volume element method to extract mechanical properties and achieve optimal material distribution for variable relative density lattice structures. Additionally, León-Becerra et al. conducted mechanical characterization of lattice infill patterns and proposed simplified models for predicting mechanical responses of lattice structures. These studies collectively provide insights into calculating relative density in lattice structures through various innovative methodologies.
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01 Jul 2017 5 Citations | The relative density of lattice structures is calculated by mapping the optimal density distribution from 3D topology optimization to the lattice cells' relative density matrix. |
28 Oct 2021 | To calculate relative density of lattice structures, vary infill density in common patterns (triangular, square, hexagonal) of 3D-printed PLA, then analyze mechanical properties to establish correlations with density. |
| The Local Relative Density Mapping (LRDM) method calculates relative density of lattice structures by establishing a mapping between elements' relative density and struts' cross-sectional area. | |
| The design method in the paper calculates relative density by extracting equivalent mechanical properties, normalizing them, applying a lattice material punishment model, and optimizing for optimal material distribution. | |
| The relative density of lattice structures can be calculated using a derived relational equation based on the boundary box size and strut radius of the unit cell. |
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