Generalized Thermoelasticity of Piezoelectric Materials

Generalized thermoelasticity of piezoelectric materials encompasses theoretical and experimental frameworks that couple mechanical deformation, electric fields and thermal effects in solids. Unlike classical theories, these models account for finite speeds of heat propagation, memory effects and spatial nonlocality, overcoming the infinite-speed paradox of Fourier’s law. By introducing phase lags, fractional derivatives or memory-dependent operators, researchers capture the transient interplay between thermal waves and elastic–electric responses. Functionally graded piezoelectric media, in which material properties vary continuously, offer tailored performance for sensors, actuators and energy-harvesting systems. Analytical techniques such as integral transforms and numerical schemes including hybrid finite‐element formulations are routinely employed to resolve complex boundary-value problems. The resultant insights inform the design of smart structures in aerospace, biomedical devices and microelectromechanical systems, where precise control of thermomechanical coupling is critical.

Research from Nature Portfolio

Recent studies have extended conventional thermoelastic models by embedding memory-dependent dynamic responses into functionally graded rods. Advanced formulations of heat conduction laws with fractional-order kernels reveal that both thermal and electrical fields are attenuated by increasing heterogeneity and delay times. These approaches yield closed-form expressions for temperature distributions, displacements and electric potentials under electromechanical loading. Another line of enquiry has explored energy partitioning at interfaces between thermoelastic and piezothermoelastic half-spaces. By adopting a higher-order three-phase-lag conduction law, researchers have mapped the amplitude and energy ratios of reflected and transmitted waves for various incident modes. Graphical analyses demonstrate how memory effects and incidence angle govern the efficiency of elastic, thermal and electric wave transmission across orthotropic interfaces.

Generalized Thermoelasticity of Piezoelectric Materials publication trend

The graph below shows the total number of articles in generalized thermoelasticity of piezoelectric materials across all publications each year (not limited to Nature Index journals).

Technical terms

Generalized thermoelasticity: Extensions of classical thermoelastic theory incorporating finite heat-wave speeds, memory or nonlocal effects.

Piezoelectric coupling: Interaction by which mechanical strain induces electric potential, and vice versa.

Functionally graded material (FGM): Composite whose properties vary continuously in space to optimise multifunctional performance.

Memory-dependent derivative (MDD): Time-nonlocal operator that models history-dependent thermal or mechanical responses.

Dual-phase-lag (DPL) model: Heat conduction theory introducing separate time delays for heat flux and temperature gradient.

Nonlocal elasticity: Mechanical theory incorporating long-range interactions to account for size-dependent effects.

References

1. The theory of thermoelasticity with a memory-dependent dynamic response for a thermo-piezoelectric functionally graded rotating rod. Scientific Reports (2023).
2. Investigation of generalized piezoelectric-thermoelastic problem with nonlocal effect and temperature-dependent properties. Heliyon (2018).
3. An Investigation into Thermal Vibrations Caused by a Moving Heat Supply on a Spinning Functionally Graded Isotropic Piezoelectric Bounded Rod. Mathematics (2023).
4. Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums. Scientific Reports (2023).
5. Hybrid Finite Element Method to Thermo-Elastic Interactions in a Piezo-Thermo-Elastic Medium under a Fractional Time Derivative Model. Mathematics (2022).