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Finite element formulation of general electrothermoelasticity problems
Author(s) -
Oden J. T.,
Kelley B. E.
Publication year - 1971
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620030204
Subject(s) - finite element method , mathematics , boundary value problem , mathematical analysis , thermal conduction , mixed finite element method , boundary element method , equations of motion , extended finite element method , class (philosophy) , calculus (dental) , classical mechanics , physics , computer science , medicine , dentistry , artificial intelligence , thermodynamics
This paper is concerned with the development of consistent discrete models, via the concept of finite elements, of linear and non‐linear electrothermomechanical behaviour of continuous bodies. In the development, general energy balances are utilized to derive equations governing electromagnetic fields over an element and coupled equations of motion and heat conduction of a typical element of the continuum. These equations make it possible to study a general class of field problems involving arbitrary geometries and boundary conditions. Sample problems are included.