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Effective elastic moduli of composites with a strongly disordered host material
D A Conyuh1, A A Semenov1, Y M Beltukov1
1Ioffe Institute, Politechnicheskaya Str. 26, 194021 St. Petersburg, Russia.
Physical Review. E
|November 18, 2023
Summary
Researchers explored disordered materials and found increased stiffness in interfacial regions. This crucial effect in nanocomposites enhances nanoparticle influence on material stiffness.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Strongly disordered materials exhibit complex local elastic properties.
- Interfacial regions in nanocomposites significantly influence macroscopic behavior.
- Understanding these properties is key to designing advanced materials.
Purpose of the Study:
- To investigate the local elastic properties of strongly disordered materials.
- To quantify the stiffness increase in interfacial regions.
- To determine the role of this interfacial effect in nanocomposites.
Main Methods:
- Utilizing the theory of correlated random matrices.
- Analyzing the dependence of interfacial region thickness on disorder strength.
- Relating interfacial properties to material heterogeneity and boson peak lengthscale.
Main Results:
- A significant increase in stiffness was observed in the interfacial regions.
- The thickness of these stiff interfacial regions is dependent on the disorder strength.
- This interfacial stiffening effect plays a crucial role in nanocomposites.
Conclusions:
- The interfacial effect significantly enhances the influence of nanoparticles on nanocomposite stiffness.
- The thickness of the interfacial region is governed by the heterogeneity lengthscale.
- This lengthscale is comparable to the boson peak lengthscale, providing a key physical parameter.
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