Multifunctional Composites for Elastic and Electromagnetic Wave Propagation

Abstract

Composites are ideally suited to achieve desirable multifunctional effective properties since the best properties of different materials can be judiciously combined with designed microstructures. Here we establish cross-property relations for two-phase composite media that link effective elastic and electromagnetic wave characteristics to one another, including the respective effective wave speeds and attenuation coefficients, which facilitate multifunctional material design. This is achieved by deriving accurate formulas for the effective electromagnetic and elastodynamic properties that depend on the wavelengths of the incident waves and the microstructure via the spectral density. Our formulas enable us to explore the wave characteristics of a broad class of disordered microstructures because they apply, unlike conventional formulas, for a wide range of incident wavelengths, i.e., well beyond the long-wavelength regime. This capability enables us to study the dynamic properties of exotic disordered ``hyperuniform'' composites that can have advantages over crystalline ones, such as nearly optimal, direction-independent properties and robustness against defects. We specifically show that disordered ``stealthy'' hyperuniform microstructures exhibit novel wave characteristics, e.g., low-pass filters that transmit waves ``isotropically'' up to a finite wavenumber. Our cross-property relations for the effective wave characteristics can be applied to design multifunctional composites via inverse techniques. Design examples include structural components that require high stiffness and electromagnetic absorption, heat-sinks for CPUs, and sound-absorbing housings for motors that have to efficiently emit thermal radiation and suppress mechanical vibrations, and nondestructive evaluation of the elastic moduli of materials from the effective dielectric response.

11 pages and 5 figures; one supplementary information; considerable revisions are made

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• Hyperuniform States of Matter
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• Stealth acoustic materials
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Cited by in corpus (20)

• Nonlocal Effective Electromagnetic Wave Characteristics of Composite Media: Beyond the Quasistatic Regime
• Structural Characterization of Many-Particle Systems on Approach to Hyperuniform States
• Effective Electromagnetic Wave Properties of Disordered Stealthy Hyperuniform Layered Media Beyond the Quasistatic Regime
• Effective Elastic Wave Characteristics of Composite Media
• Local Order Metrics for Two-Phase Media Across Length Scales
• Theoretical Prediction of the Effective Dynamic Dielectric Constant of Disordered Hyperuniform Anisotropic Composites Beyond the Long-Wavelength Regime
• Generating large disordered stealthy hyperuniform systems with ultra-high accuracy to determine their physical properties
• Dynamic Measure of Hyperuniformity and Nonhyperuniformity in Heterogeneous Media via the Diffusion Spreadability
• Extraordinary Optical and Transport Properties of Disordered Stealthy Hyperuniform Two-Phase Media
• Fast Generation of Spectrally-Shaped Disorder
• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• Multiscale Physics-Informed Neural Networks for the Inverse Design of Hyperuniform Optical Materials
• Hyperuniform Density Distributions of Brownian Particles via Designer External Potentials
• Non-hyperuniform metastable states around a disordered hyperuniform state of densely packed spheres: stochastic density functional theory at strong coupling
• Existence of Nonequilibrium Glasses in the Degenerate Stealthy Hyperuniform Ground-State Manifold
• Elastic wave dispersion in layered media with suture joints: influence of structural hierarchy and viscoelasticity
• Hyperuniformity of Weighted Particle Systems
• Diffusion Spreadability as a Probe of the Microstructure of Complex Media Across Length Scales
• AI-driven Bayesian inference of statistical microstructure descriptors from finite-frequency waves
• Understanding Degeneracy of Two-Point Correlation Functions via Debye Random Media