Lattice (music)

  1. Improved Omega bound for lattice point discrepancy in bodies of revolution
  2. Base-60 digits can be mapped to exact prime-factor coordinates
  3. Exact correlation results for active crystal instabilities
    Analytical framework for two-dimensional active crystals reveals exact correlations, universal entropy production, and mechanical instability thresholds within the harmonic approximation.
  4. Chirality affects microcritical, not macrocritical, stability
    Analysis of periodic lattice metamaterials with rigid joints shows chirality affects microscale stability but not macroscale stability, enabling tailored critical mode activation.
  5. Gyroid lattice build orientation changed mechanical performance
    Study of how build orientation affects mechanical properties of gyroid lattice structures fabricated with PLA-metal composites, revealing optimal alignment strategies for enhanced performance.
  6. Foam filling improved the performance of SLS polymer lattices
    Study evaluates SLS polymer lattice architectures with and without polyurethane foam filling, revealing foam integration increases stiffness 40-fold and strength nearly 100% while improving energy.
  7. Brittle lattice strength depends on loading direction and topology
    Multiscale analysis of tension-compression asymmetry in brittle lattice metamaterials using additive manufacturing, micro-CT imaging, and computational modeling to predict failure mechanisms.
  8. Biomimicry of Combative Bovids to Revamp a Lightweight, Energy-Absorbing Lattice for High Impact Applications
    Biomimetic lattice structures based on muskox and bighorn sheep anatomy demonstrate enhanced energy absorption with external horns, though material ductility proves more critical than geometry.
  9. Explainable models predicted dynamic responses of LPBF A286 lattices
    Explainable machine learning framework for predicting dynamic mechanical responses of LPBF-fabricated A286 lattice structures under high-strain-rate impact testing with interpretable design rules.