Affiliations: [a] State Key Laboratory of Mechanics and Control of
Mechanical Structures, Nanjing University of Aeronautics and Astronautics,
Nanjing, Jiangsu, China
Correspondence:
[*]
Corresponding author: Cun-Fa Gao, State Key Laboratory of
Mechanics and Control of Mechanical Structures, Nanjing University of
Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China. Tel.: +86 25 8489
6237; E-mail: cfgao@nuaa.edu.cn
Abstract: This work studies on the classical electro-mechanical problem of an
electrostrictive plate with an elliptical hole. In the present work, the
isotropic case for the electrostrictive plate is considered based on the small
strain assumption. The solutions are then provided by the complex variable
method for an infinite plate with an elliptic hole or a crack. Moreover, FEM
analyses where a 3D electrostrictive element is defined in ABAQUS user
subroutine UEL are presented for a finite plate. Numerical results are given to
discuss the effects of plate geometries, applied electric fields, material
properties, the electric body force and Maxwell stress tensor on the stress
fields around the elliptical hole. It is found that the traditional uncoupled
treatment may cause an unpredictable inaccuracy and a coupled analysis is
needed in general.
Keywords: Electrostrictive plate, elliptical hole, complex function method, FEM
