A general solution approach to dynamic contact between a sinusoidal rigid solid and piezoelectric materials with anisotropy

• Published in: Acta mechanica Vol. 226; no. 11; pp. 3865 - 3879
• Main Authors: Zhou, Y.-T., Kim, T.-W.
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01-11-2015; Springer; Springer Nature B.V
• Subjects: Anisotropy; Classical and Continuum Physics; Contact; Control; Dynamical Systems; Dynamics; Engineering; Engineering Thermodynamics; Epoxy resins; Graphite-epoxy composites; Heat and Mass Transfer; Materials science; Mathematical analysis; Mathematical models; Methods; Numerical analysis; Original Paper; Piezoelectricity; Solid Mechanics; Texts; Theoretical and Applied Mechanics; Vibration; Contact Problem; Asperity Height; Piezoelectric Material; Contact Region; Series Form
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-015-1398-z

Applying the operator method, general solutions for dynamic governing equations involving anisotropic piezoelectric materials are derived. Based on the general solutions, a rigid solid with a sinusoidal surface moving along the surface of anisotropic piezoelectric materials is concerned. Dual series equations are obtained and solved analytically. Then, the electro-elastic fields are determined in series forms. A full contact problem leads to more simple forms. Numerical analysis is performed for the anisotropic piezoelectric material
0
∘
Graphite-epoxy, in which an illustrative example concerning the vertical mechanical displacement on the surface is displayed to validate the present approach. Results demonstrate that the contact behavior is considerably affected by both the velocity and material properties.