Multi-field Response of Anisotropic Magneto-Electro-Elastic Materials at a Rigid Conducting Cylinder

Abstract

Contact problem of anisotropic magneto-electro-elastic materials indented by a perfectly conducting cylindrical punch is investigated based on a complete coupling theory. The 12 cases of the distinctive eigenvalue distribution of the related governing equations are detailed. For 3 available eigenvalue distribution cases involving semi-infinite anisotropic magneto-electro-elastic materials, real fundamental solutions are provided. A system of singular integral equations is obtained and solved exactly. The explicit expressions for the coupled magneto-electro-elastic fields in the half-plane are presented in the form of elementary functions. Figures are plotted to show the effects of various parameters, such as the volume fraction of the piezoelectric phase, on the contact behaviors. In-depth analyses are given to explain how the various parameters cause the contact properties to change and develop. Connections between the present study and practical application are presented. This article may greatly benefit the experimental and numerical test involving magneto-electro-elastic materials.