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

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.