Mathematical modelling of laser-instigated magneto-thermo-mechanical interactions inside half-space

• Published in: Journal of engineering mathematics Vol. 142; no. 1
• Main Author: Tiwari, Rakhi
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2023; Springer Nature B.V
• Subjects: Aeronautical engineering; Algorithms; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Geophysics; Half spaces; Heat conductivity; Heat transfer; Kernel functions; Laplace transforms; Magnetic fields; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Theoretical and Applied Mechanics; Thermal conductivity; Thermal stress; Kernel function; Time delay; Laser pulse; Nonlocal effect; MGTE thermal conductivity model
• DOI: 10.1007/s10665-023-10292-5
• ISSN: 0022-0833

Coupling of mechanical, thermal and magnetic fields attracts the scientific community due to its numerous applications in geophysics, engineering, structures, aeronautics etc. To study the magneto-thermo-mechanical-interactions caused by laser heat input inside an infinite half-space structure, current investigation address a new generalized thermoelastic model incorporating nonlocal Moore–Gibson–Thompson approach with memory-dependent derivatives. A heat transfer equation half-space media is being pronounced with the magnetic field. A heat transfer equation based on memory-dependent derivatives is formulated by Eringen’s assumptions of nonlocal impact. The closed form solutions for the half-space system are determined in the Laplace transform domain. The distributions of physical fields such as temperature, displacement, thermal stress and stain are obtained in physical domain by adopting an approximation algorithm. With the help of computational outcomes and the graphical figures, the effects of effective parameters such as non-singular kernel functions, time delay and nonlocal quantum are revealed on the variations of the field quantities. Further, in order to exhibit the attractiveness of the nonlocal MGT model, a comparison of the current thermal conductivity model with previously established nonlocal classical and nonlocal generalized thermal conductivity models is made through the graphical results.