Hou, P. F.; Zhang, W. H. The electro-mechanics of a coating/substrate system under charged spherical contact. (English) Zbl 1446.74120 Math. Mech. Solids 25, No. 1, 60-96 (2020). Summary: A general theory of the piezo-electric contact mechanics for a transversely isotropic piezo-electric elasticity coated system (TIPECS) under charged spherical contact is presented. Three-dimensional exact solutions for the stresses, displacements, electric displacements and electric potential are derived. The contact radius versus the total load relation is obtained to guide the indentation experiments. The relations of coating thickness versus voltage and coating thickness versus voltage are studied. The optimal thickness can be determined with an optimization procedure. The interfacial delamination area of the TIPECS can be predicted with the interfacial failure criterion. The theoretical results are helpful for the prediction of some transient electrical effects, which can be combined with experiments to estimate some elastic constants, dielectric constants and piezo-electric constants in the indentation process. Cited in 1 Document MSC: 74F15 Electromagnetic effects in solid mechanics 74M15 Contact in solid mechanics 74G05 Explicit solutions of equilibrium problems in solid mechanics Keywords:coated system; piezo-electric contact mechanics; coating thickness; interface failure; indentation; sensors PDFBibTeX XMLCite \textit{P. F. Hou} and \textit{W. H. Zhang}, Math. Mech. Solids 25, No. 1, 60--96 (2020; Zbl 1446.74120) Full Text: DOI References: [1] Curie, J, Curie, P. Development by pressure of polar electricity in hemihedral crystals with inclined faces. Bull Soc Min Fr 1880; 3: 90-102. [2] Wang, H , et al. Vibration of mechanically-assembled 3D microstructures formed by compressive buckling. J Mech Phys Solid 2018; 112: 187-208. 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