Comprehensive Mathematical Modeling of Thermo-Electro-Magneto-Elastic Processes in Anisotropic Thin Plates of Complex Shape based on the RFM Method
DOI:
https://doi.org/10.71310/pcam.4_68.2025.11Keywords:
R-function method, anisotropic plate, thermo-electro-magneto-elastic processes, comprehensive modeling, complex geometry, multiphysical systems, equations of motion, numerical solutionAbstract
This article presents a comprehensive mathematical modeling of thermo-electro magneto-elastic processes in anisotropic thin plates of complex shapes using the R function method (RFM). The model considers interrelated physical fields: thermal, elec trical, magnetic, and mechanical, acting on the structure. The R-function method is employed to describe geometrically complex domains and to set boundary conditions, allowing the formation of smooth solutions without explicitly defining the boundary con ditions. A system of differential equations of motion is constructed, taking into account the material anisotropy and the influence of external physical factors. The proposed model can be used to analyze the state of complex technical structures operating under multiphysical influences. The paper presents numerical results and a graphical interpre tation of the plates’ behavior under various loading conditions.
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