Thermoelastic modeling of functionally graded materials with cylindrical cavities utilizing higher-order fractional heat transfer models incorporating time delays

IF 1.9 4区工程技术 Q3 MECHANICS Continuum Mechanics and Thermodynamics Pub Date : 2025-02-10 DOI:10.1007/s00161-025-01360-5

Ahmed E. Abouelregal, Mohamed E. Elzayady, M. Marin, Abdelaziz Foul, Sameh S. Askar

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Abstract

This article examined the thermoelastic behavior of functionally graded (FG) materials using a partially modified thermoelastic heat transfer model. The model utilized the three-phase lag thermoelasticity theory and incorporated higher-order fractional derivatives of Caputo and Fabrizio to address advanced thermodynamic and mechanical properties. These improvements showed great potential for applications in engineering fields such as aerospace, pressure vessel design, and structural engineering. The study applied the proposed model to analyze a thermoelastic problem involving an infinite FG medium with a cylindrical cavity subjected to thermal shock. The medium’s radially varying thermal and mechanical properties, characteristic of FG materials, played a central role in the analysis. The results revealed that the gradient coefficient and fractional derivative coefficient significantly affected the distribution of physical fields within the medium. Adjusting these parameters optimized the thermoelastic response, enabling tailored performance to meet specific engineering requirements.

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来源期刊

Continuum Mechanics and Thermodynamics 物理-力学

CiteScore

5.30

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.