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Dynamic Characterization of Hexagonal Microstructured Materials with Voids from Discrete and Continuum Models.

Marco Colatosti1, Farui Shi2,3,4, Nicholas Fantuzzi4

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This study investigates the dynamic behavior of hexagonal microstructured composites with voids. Micropolar continuum models accurately capture scale effects and dynamic characteristics, outperforming classical Cauchy models, especially with voids.

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Continuum Mechanics

Background:

  • Voids significantly influence the mechanical response of composite materials.
  • Understanding dynamic behavior in microstructured composites is crucial for engineering applications.

Purpose of the Study:

  • To analyze the dynamic behavior of hexagonal microstructured composites with voids.
  • To compare discrete, classical Cauchy, and micropolar continuum models for accuracy.
  • To evaluate the influence of void size on material dynamics.

Main Methods:

  • Utilized a discrete model and homogenizing techniques for micropolar and classical Cauchy continua.
  • Analyzed free vibrations of panels with regular, hourglass, and skew hexagonal microstructures.
  • Investigated the effect of varying void sizes on natural frequencies.

Main Results:

  • The micropolar continuum model accurately predicts dynamic characteristics and scale effects, unlike the Cauchy continuum.
  • Micropolar models show superior accuracy for orthotropic (regular, hourglass) and skewed microstructures.
  • Increasing void size leads to a decrease in the first six natural frequencies.

Conclusions:

  • Micropolar continuum theory offers a more accurate and comprehensive approach for analyzing dynamic behavior in microstructured composites with voids.
  • The discrete model and micropolar continuum both capture microstructural scale effects.
  • Void size is a critical parameter influencing the vibrational frequencies of these materials.