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| Study on two-dimensional contact problem for piezoelectric coating - functionally graded piezoelectric interface layer - substrate system |
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Abstract The sudden change of material composition and properties at the interface of multilayer elements often leads to stress concentration at the interface, resulting in cracking or creep of the interface layer, which greatly shortens the service life of piezoelectric elements.As an interface layer, functionally graded piezoelectric materials can effectively alleviate the damage caused by interface material mismatch.This paper mainly studies the electromechanical response of the structure under the action of cylindrical indenter when the interface layer of functionally graded piezoelectric material is used to connect the piezoelectric coating and substrate.Using Fourier integral transform technique, the two-dimensional plane strain contact problem of piezoelectric coating functionally graded piezoelectric layer substrate structure under the action of rigid cylindrical indenter is transformed into a singular integral equation with Cauchy kernel.Using Gauss Chebyshev integral formula, the singular integral equation is transformed into linear equations and solved numerically. The stress distribution and potential shift distribution of piezoelectric coating functionally graded piezoelectric layer substrate structure under the action of cylindrical indenter are obtained.The numerical results show that the variation of gradient piezoelectric material parameters has an important influence on the electromechanical response of the structure.The research results of this paper have important theoretical guiding significance for using functionally graded piezoelectric interface layer to eliminate the interface failure caused by stress discontinuity at the interface. The research results can provide help for the design of functionally graded piezoelectric interface layer.
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Received: 27 October 2021
Published: 17 June 2022
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2022, Vol. 43 
