ON THE NONLINEAR EQUATIONS OF THERMOELECTROELASTICITY.
RENSSELAER POLYTECHNIC INST TROY N Y DEPT OF MECHANICS
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The differential equations and boundary conditions describing the behavior of an electrically polarizable, finitely deformable, heat conducting continuum in interaction with the electric field are derived by means of a systematic application of the laws of continuum coupled to a lattice continuum. The resulting rotationally invariant description of thermoelectroelasticity consists of five differential equations in five dependent variables and, when thermal considerations are omitted, reduces to four differential equations in four dependent variables. A variational principle is presented, which yields the same four differential equations of electroelasticity in the same four dependent variables along with the associated boundary conditions. Previous consistent variational treatments of electroelasticity yielded a system of seven equations in seven dependent variables. Author
- Electricity and Magnetism
- Solid State Physics