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Anti-plane piezoelastic study on plane layered media. (English) Zbl 1192.74111

Summary: Singularity problems in a multilayered piezoelectric body composed of arbitrary number of dissimilar plane layers perfectly bonded are analyzed in the framework of linear piezoelectricity. Each layer of the composite is assumed to posses the symmetry of a hexagonal crystal in the 6 mm class and subject to electromechanical loadings, which produce in-plane electric fields and out-of-plane displacement. Based on the complex variable theory and the method of alternating technique, the solution of electric and displacement fields is expressed in terms of explicit series form. The boundary shear stress and electric field for a practical case are discussed graphically. Some certain piezoelectric constant combination to make the composite perform the largest response of electric field is found and can be used to build a relatively effective sensor in a piezoelectric composite material system.

MSC:

74F15 Electromagnetic effects in solid mechanics
74E30 Composite and mixture properties
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