Coupled field models in electromagnetic solids

Abstract

PurposeTo develop new and existing coupled thermal and mechanical models of electromagnetic solids for the simulation of coupled field problems based on a consistent theoretical and computational framework.Design/methodology/approachThe finite element computational models we describe involve the combination of classical electrodynamics, continuum mechanics, and thermodynamics. In order to create consistent coupled models, we employ the fundamental principles of thermodynamics as a common framework.FindingsOur procedure requires the necessary thermodynamical considerations for building consistent multiphysics models and develops some novel implementation issues that are important from the designers' point of view. Additionally, efficient numerical algorithms for solving the arising static and dynamic nonlinearities are discussed.Research limitations/implicationsThe paper targets the simulation of coupled problems in macroscopic electromagnetic continua.Practical implicationThe application areas of the coupled field models are identified and illustrated by the solution of complex industrial problems.Originality/valueWe introduce new computational models and techniques for the solution of some coupled field problems in electromagnetic solids. While some elements of these computational models and techniques have been used for decades, the complete theoretical and computational framework is presented for the first time here.