ON THE STATIC NONLINEAR THEORY OF ELECTROMAGNETIC THERMOELASTIC SOLIDS

The basic field equations, boundary conditions, and constitutive equations, necessary for the treatment of problems concerning the nonlinear, steady state behavior of elastic solids subject to large deformations, electromagnetic fields and thermal gradients, are derived. The basic equa tions are formulated to include Maxwell's equa tions, laws of conservation of mass and of energy, and principles of balance of momentum and balance of moment of momentum. The constitutive equations characterize the stress, dielectric displacement, electric current, magnetic flux density, and heat flux as analytic tpoint functions of strain, electric field, magnetic field and thermal grad ient for elastic solids displaying holohedral iso tropy with respect to mechanical, electrical, magnetic and thermal properties. (Author)