Nonlocal Thermoelastic Wave Propagation
Summary
Nonlocal thermoelastic wave propagation explores how coupled thermal and elastic disturbances travel through materials when long-range interatomic forces are significant. Unlike classical theories that assume interactions only at a point, nonlocal models incorporate integral formulations or gradient terms to capture size-dependent and scale-sensitive effects. These frameworks predict dispersion, attenuation and the emergence of multiple wave modes—such as quasi-longitudinal and quasi-transverse waves—whose velocities and cut-off frequencies depend on material microstructure, thermal relaxation and boundary conditions. The inclusion of fractional-order derivatives further generalises the theory, allowing continuous tuning of nonlocal influence. Applications span nano-device design, seismic wave analysis in geological formations and advanced metamaterials, where precise control of heat–wave coupling underpins thermal management, sensing and energy-conversion technologies.
Research from Nature Portfolio
Recent studies have applied fractional-order nonlocal frameworks to rotating porous solids under electromagnetic influence. By splitting the governing equations via Helmholtz decomposition, researchers identified four distinct dispersive quasi-waves whose propagation characteristics vary with angular velocity, nonlocal parameter and Hall current intensity. Analytical expressions for reflection coefficients at interfaces reveal how cut-off frequencies shift in response to material porosity and rotation. Numerical simulations in canonical solids, performed with MATLAB, demonstrate energy conservation through computed energy ratios, confirming theoretical predictions and illustrating the interplay between nonlocality and rotational effects on thermal-elastic coupling.
Nonlocal Thermoelastic Wave Propagation publication trend
The graph below shows the total number of articles in nonlocal thermoelastic wave propagation across all publications each year (not limited to Nature Index journals).
Technical terms
Nonlocal continuum theory: A formulation that accounts for long-range forces by relating field quantities at a point to their values over a spatial region.
Thermoelasticity: The coupled study of mechanical deformation and temperature changes in solids under dynamic loading.
Fractional-order calculus: An extension of integer-order differentiation and integration allowing non-integer operators to model memory and scale effects.
Cut-off frequency: The threshold frequency above or below which certain wave modes cannot propagate.
Relaxation time: A characteristic interval over which thermal or mechanical perturbations return to equilibrium in generalised models.
Helmholtz decomposition: A mathematical technique that splits vector fields into divergence-free and curl-free components to simplify wave equations.
References
- Propagation and reflection of thermoelastic wave in a rotating nonlocal fractional order porous medium under Hall current influence. Scientific Reports (2023).
- Effects of the Nonlocal Thermoelastic Model in a Thermoelastic Nanoscale Material. Mathematics (2022).
- Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model. Mathematics (2022).
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