Elastic deformation of symmetrical conducting materials in electric field

In this work, we study field-induced stress in cylindrical and spherical core-shell structures with linear elasticity. The solid conducting core, which carries a net electric charge, experiences hydrostatic tensile stress for spherical structure and tensile stress in radial, axial and azimuth directions for cylindrical structure. The conducting shell is subjected to tensile stress in the radial direction and compressive stress in the azimuth direction for both the spherical and cylindrical structures. The radial tensile stress can cause the formation and propagation of cracks. For a section of the shell with the planar faces parallel to symmetrical axis, the field-induced force on the section is repulsive when the distance between the symmetrical axis and the section of the shell is larger than the critical distance.