Finite element analysis on generalized piezothermoelastic interactions in an unbounded piezoelectric medium containing a spherical cavity
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Abstract
This paper addresses the theoretical analysis of a piezothermoelastic problem involving an unbounded thermopiezoelectric medium with a spherical cavity subjected to pulse heating flux. The generalized piezo-thermo-elastic formulations of Lord and Shulman with thermal relaxation effects are used in this work. Unlike previous studies, which often consider simplified boundary conditions or steady-state thermal loading, our work incorporates generalized piezo-thermo-elastic formulations based on the Lord and Shulman model, accounting for thermal relaxation effects under dynamic thermal loading conditions. The numerical solution of the governing equations is done using the finite element approach, and temporal evolution is solved using the implicit scheme. New numerical results provide insight into the dynamic behavior of the piezoelectric medium subjected to thermal conditions. Thermal relaxation time and pulse heating flux are analyzed in their influence on the coupled thermal, mechanical and electrical fields and, thus, on the response of the system.
Funding source: Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
Award Identifier / Grant number: PNURSP2025R742
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: The authors state no conflict of interest.
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Research funding: This research work was funded by Institutional Fund Projects under grant no. (PNURSP2025R742).
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Data availability: Not applicable.
References
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- Thermal transport in a silicon/diamond micro-flake with quantum dots inserts
- Finite element analysis on generalized piezothermoelastic interactions in an unbounded piezoelectric medium containing a spherical cavity
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Heat transfer at nano-scale and boundary conditions: a comparison between the Guyer-Krumhansl model and the Thermomass theory
- Exergy-based efficient ecological-function optimization for endoreversible Carnot refrigerators
- Effect of depositional nanoparticles on heat transfer at the solid–liquid interface using molecular dynamics simulations
- Optimization of injection parameters, and ethanol shares for cottonseed biodiesel fuel in diesel engine utilizing artificial neural network (ANN) and taguchi grey relation analysis (GRA)
- A general relativistic kinetic theory approach to linear transport in generic hydrodynamic frame
- Asymmetric quantum harmonic Otto engine under hot squeezed thermal reservoir
- Approaches of finite-time thermodynamics in conceptual design of heat exchange systems
- Thermal transport in a silicon/diamond micro-flake with quantum dots inserts
- Finite element analysis on generalized piezothermoelastic interactions in an unbounded piezoelectric medium containing a spherical cavity
