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On the linear piezoelectricity of composite materials. (English) Zbl 0731.73071

Summary: From the equations of the linear piezoelectricity for a composite material with a periodic structure we derive the dynamical solution by means of Bloch expansion techniques. This expression allows, as a limit case, a comparison with the homogenization method, and the macroscopic coefficients are also deduced.

MSC:

74F15 Electromagnetic effects in solid mechanics
74J99 Waves in solid mechanics
74H50 Random vibrations in dynamical problems in solid mechanics
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74E05 Inhomogeneity in solid mechanics
35A15 Variational methods applied to PDEs
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References:

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