On the foundations of electroelastostatics
On the foundations of electroelastostatics
- International Journal of Engineering Science, 1(1), p.127-153, 1963 .
The Maxwell-Faraday theory of electrostatics is formulated in such a manner as to pave the way for a formulation of the electrostatics of deformable bodies. A variational principle is introduced leading to the basic field equations, the boundary conditions and the constitutive equations of an elastic dielectric subject to large deformations and polarizations. Various forms of the constitutive equations for the stress and the local electric field are proposed. For isotropic dielectrics, specific forms are obtained. The resultant equations are applied to the uniform extension of an internally charged hollow circular cylinder. An approximation to the constitutive equations is found for small strain and polarization.
ELECTROELASTOSTATICS
The Maxwell-Faraday theory of electrostatics is formulated in such a manner as to pave the way for a formulation of the electrostatics of deformable bodies. A variational principle is introduced leading to the basic field equations, the boundary conditions and the constitutive equations of an elastic dielectric subject to large deformations and polarizations. Various forms of the constitutive equations for the stress and the local electric field are proposed. For isotropic dielectrics, specific forms are obtained. The resultant equations are applied to the uniform extension of an internally charged hollow circular cylinder. An approximation to the constitutive equations is found for small strain and polarization.
ELECTROELASTOSTATICS