International Journal of Science, Engineering and TechnologyAuthors: Dr. Sangita B. Pimpare
Abstract: This paper presents a semi-analytical Differential Transform Method (DTM) framework to analyze transient coupled thermoelastic fields in functionally graded (FG) rectangular plates under the fractional-order Moore–Gibson–Thompson (MGT) heat conduction model. The Caputo fractional operator models memory-dependent thermal transport, while power-law material distributions describe thickness-wise properties. Differential equations are converted into algebraic recurrences to evaluate non-Fourier responses without spatial discretization errors. Building on earlier analytical stress function approaches and reduced DTM schemes, this model extends MGT field analysis to functionally graded structures. Numerical results highlight how fractional memory, thermal relaxation, and material gradation affect thermal wave fronts and stress distributions.
