The purpose of this study is to investigate the effects of dual-phase lag thermoelastic coupling on the propagation of disturbances in a thermosensitive solid sphere. By considering non-local thermal transfer and a non-local thermoelastic heat equation with memory-dependent derivatives, the study aims to provide a deeper understanding of microstructural interactions and thermal variations. This research seeks to offer valuable insights for the development of advanced materials with improved thermal and mechanical properties.
The study employs a novel non-local fractional heat conduction model that incorporates memory effects and is influenced by a magnetic field. It examines the microstructural interactions and thermal variations within a thermosensitive solid sphere. The model uses a non-local thermoelastic heat equation with memory-dependent derivatives to determine quasi-static non-local thermoelastic stress and displacement. Numerical solutions for various physical fields are derived using a numerical Laplace inversion technique, and the results are presented graphically.
The study finds that the proposed non-local fractional heat conduction model effectively captures the memory effects and the influence of a magnetic field on the thermal and mechanical behavior of the solid sphere. The numerical solutions reveal significant insights into the quasi-static non-local thermoelastic stress and displacement within the sphere. The graphical results demonstrate the impact of instantaneous time and other fractional thermoelastic models on the medium’s physical properties, highlighting the importance of considering non-local effects in thermoelastic analyses.
The research is limited by the assumptions made in the model, such as the specific form of the memory-dependent derivatives and the idealized conditions of the solid sphere. These limitations may affect the generalizability of the findings to other materials and geometries. Future research could explore different forms of memory effects and extend the model to more complex geometries and boundary conditions. The implications of this study suggest that incorporating non-local effects and memory-dependent derivatives can significantly enhance the accuracy of thermoelastic analyses in advanced materials.
The findings of this study have practical implications for the design and development of advanced materials with enhanced thermal and mechanical properties. By understanding the effects of dual-phase lag thermoelastic coupling and non-local thermal transfer, engineers and material scientists can develop materials that better withstand thermal stresses and deformations. This research could lead to the creation of more resilient materials for use in high-temperature environments, such as those in aerospace, automotive and energy sectors.
The development of advanced materials with improved thermal and mechanical properties has significant social implications. These materials can lead to safer and more efficient technologies, reducing the risk of failure in critical applications such as transportation and energy infrastructure. Additionally, the insights gained from this research can contribute to the development of sustainable materials that minimize environmental impact and enhance the longevity of products, ultimately benefiting society as a whole.
This study is original in its approach to incorporating memory effects and non-local thermal transfer into a fractional heat conduction model influenced by a magnetic field. The novel methodology provides a deeper understanding of the microstructural interactions and thermal variations within a thermosensitive solid sphere. The value of this research lies in its potential to inform the design and development of advanced materials with superior thermal and mechanical properties, offering significant benefits for various high-performance applications.
