article · Waves in Random and Complex Media
This research develops a theoretical framework to examine wave propagation across bi-layer functionally graded nanoplates containing internal pores and embedded in an elastic medium. The analytical model incorporates a quasi-3D refined plate theory together with nonlocal strain gradient theory to capture small-scale material effects. Both nanoplates are subject to an in-plane two-dimensional magnetic field, with Maxwell relations used to determine the resulting Lorentz magnetic forces. An intermediate Winkler elastic medium couples the two layers. Material characteristics vary continuously along an exponential rule that accounts for the porosity volume fraction. Governing equations integrate layer interactions, surrounding medium behaviour, magnetic influences, and length-scale parameters. Through these equations, the research examines how frequency and phase velocity respond to magnetic fields, porosity, medium stiffness, geometry, and strain gradient coefficients.
Understanding how waves travel through porous, multi-layered nanoscale components under magnetic fields is critical for designing advanced nanomaterials. By accounting for small-scale physical effects, material porosity, and environmental forces, such mathematical models help researchers predict dynamic structural responses in tiny components that cannot be described accurately by classical mechanics alone.
The abstract does not indicate a direct application pathway or target industry. This represents early-stage fundamental theoretical modelling, which could eventually inform design tools for engineers developing nanoscale composite devices, sensors, or smart materials operating in magnetic environments.
AI-generated from the published abstract. Always read the original work before citing.
A quasi-3D refined plate theory is presented with the nonlocal strain gradient theory to investigate the wave propagation in bi-layer porous FG nanoplates surrounded by an elastic medium. Both layers are exposed to in-plane 2D-magnetic field. Maxwell's relations for perfectly conducting nanoplates are employed to derive the Lorentz magnetic force. The two porous FG nanoplates are coupled together using Winkler elastic medium. The mechanical properties of the nanoplates are continuously varied according to an exponential rule considering the porosity volume fraction. The governing equations of both layers are derived containing the plate interaction, elastic medium interaction, Lorentz magnetic force and the material length scale parameters. The frequency and phase velocity under the effects of magnetic parameter, porosity factor, elastic medium parameters, nonlocal parameter, strain gradient coefficient and nanoplate geometry are presented and discussed in detail.
This page summarises published work. The authoritative version sits with the publisher.
DOI: 10.1080/17455030.2019.1634853
Is something wrong with this record? Report it or request removal.
Discussion
Have you built on this work, tried to replicate it, or seen it applied in practice? Share what you know. Verified researchers and MARATTO™ domain experts can open a discussion, and any member can reply. Contributions are reviewed before they appear.
No discussion yet. Open the first thread.
New to MARATTO™? Create a free account.
