Abstract
We study the weak solvability of a general m −dimensional (m = 2, 3) mechanical model describing the contact between a piezoelectric body and a conductive foundation. The piezoelectric effect is characterized by the coupling between the mechanical and the electrical properties of the materials. This coupling leads to the appearance of electric potential when mechanical stress is present and conversely, mechanical stress is generated when electric potential is applied.
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References
I. Andrei, N. Costea, A. Matei, Antiplane shear deformation of piezoelectric bodies in contact with a conductive support. J. Global Optim. 56, 103–119 (2013)
R. Batra, J. Yang, Saint-Vernant’s principle in linear piezoelectricity. J. Elasticity 38, 209–218 (1995)
N. Costea, C. Varga, Systems of nonlinear hemivariational inequalities and applications. Topol. Methods Nonlinear Anal. 41, 39–65 (2013)
T. Ikeda, Fundamentals of Piezoelectricity (Oxford University, Oxford, 1990)
J. Yang, An Introduction to the Theory of Piezoelectricity (Springer, Berlin, 2010)
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Costea, N., Kristály, A., Varga, C. (2021). Weak Solvability of Frictional Problems for Piezoelectric Bodies in Contact with a Conductive Foundation. In: Variational and Monotonicity Methods in Nonsmooth Analysis. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-81671-1_12
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DOI: https://doi.org/10.1007/978-3-030-81671-1_12
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Publisher Name: Birkhäuser, Cham
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