A Unified Nonlocal and Memory-Dependent Moore-Gibson-Thompson Framework for Laser-Induced Magneto-Thermo-Mechanical Waves

• Dr. Rinel M. Ostavar

  Department of Mechanical and Aerospace Engineering, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

  Author

• Dr. Velina T. Crovan

  Institute of Applied Physics, Karlsruhe Institute of Technology (KIT), Germany

  Author

• Dr. Jashwin E. Maltren

  Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, India

  Author

The coupled interplay of mechanical, thermal, and magnetic fields presents a significant area of scientific inquiry, driven by its extensive applications in diverse fields such as geophysics, structural engineering, and aeronautics. This investigation introduces a novel and generalized thermoelastic model to elucidate the magneto-thermo-mechanical interactions instigated by laser heat input within an infinite half-space. The model uniquely incorporates the Moore-Gibson-Thompson (MGT) approach, integrated with the concept of memory-dependent derivatives, to provide a more nuanced and physically realistic representation of thermoelastic phenomena. A specialized heat transfer equation, accounting for the influence of a magnetic field, is formulated based on Eringen's principles of nonlocal impact, thereby capturing size-dependent effects at the nanoscale. The governing equations are solved analytically in the Laplace transform domain to derive closed-form solutions for the primary physical fields. An advanced approximation algorithm is then employed to numerically invert the Laplace transforms, enabling a detailed analysis of the distributions of temperature, displacement, thermal stress, and strain in the physical domain. Through comprehensive computational simulations and graphical representations, this study meticulously examines the influence of key parameters, including non-singular kernel functions, time delay, and the nonlocal quantum, on the dynamic behavior of these field quantities. Furthermore, a comparative analysis is conducted to highlight the superior predictive capabilities of the proposed nonlocal MGT model over previously established nonlocal classical and generalized thermoelasticity models. The findings reveal that the MGTE-based model predicts more satisfactory and physically consistent behavior, characterized by reduced thermal stress and, consequently, lower energy dissipation. This suggests that the proposed framework offers a more robust and reliable basis for the design and analysis of solid structures, effectively mitigating the risk of material failure under intense thermal loading.

• pdf

All articles published by The Parthenon Frontiers and its associated journals are distributed under the terms of the Creative Commons Attribution (CC BY 4.0) International License unless otherwise stated. 

Authors retain full copyright of their published work. By submitting their manuscript, authors agree to grant The Parthenon Frontiers a non-exclusive license to publish, archive, and distribute the article worldwide. Authors are free to:

• Share their article on personal websites, institutional repositories, or social media platforms.

• Reuse their content in future works, presentations, or educational materials, provided proper citation of the original publication.