Finite element formulation of general electrothermoelasticity problems

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.