A conductive crack and a remote electrode at the interface between two piezoelectric materials
| Autor: | Volodymyr Loboda, A. Sheveleva, Yuri Lapusta |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Strain energy release rate
Materials science Plane (geometry) Applied Mathematics Isotropy 02 engineering and technology Mechanics 01 natural sciences Piezoelectricity Displacement (vector) Stress (mechanics) 020303 mechanical engineering & transports 0203 mechanical engineering Modeling and Simulation 0103 physical sciences Boundary value problem 010301 acoustics Electrical conductor |
| Zdroj: | Applied Mathematical Modelling. 87:287-299 |
| ISSN: | 0307-904X |
| Popis: | An interaction of a tunnel conductive crack and a distant strip electrode situated at the interface between two piezoelectric semi-infinite spaces is studied. The bimaterial is subject by an in-plane electrical field parallel to the interface and by an anti-plane mechanical loading. Using the presentations of electromechanical quantities at the interface via sectionally-analytic functions the problem is reduced to a combined Dirichlet-Riemann boundary value problem. Solution of this problem is found in an analytical form excepting some one-dimensional integrals calculations. Closed form expressions for the stress, the electric field and their intensity factors, as well as for the crack faces displacement jump are derived. On the base of these presentations the energy release rate is also found. The obtained solution is compared with simple particular case of a single crack without electrode and the excellent agreement is found out. An auxiliary plane problem for open and closed cracks between two isotropic materials is also considered. The mathematical model of this problem is identical to the above one, therefore, the obtained solution is used for this model. It is compared with finite element solution of a similar problem and good agreement is found out. |
| Databáze: | OpenAIRE |
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