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Homogenization of very rough interfaces separating two piezoelectric solids

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Abstract

The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications.

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Authors and Affiliations

  1. Faculty of Mathematics, Mechanics and Informatics, Hanoi University of Science, 334, Nguyen Trai Str., Thanh Xuan, Hanoi, Vietnam

    Pham Chi Vinh & Do Xuan Tung

  2. Faculty of Civil Engineering, Hanoi Architectural University, Km 10 Nguyen Trai Str., Thanh Xuan, Hanoi, Vietnam

    Do Xuan Tung

Authors
  1. Pham Chi Vinh
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  2. Do Xuan Tung
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Correspondence to Pham Chi Vinh.

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Vinh, P.C., Tung, D.X. Homogenization of very rough interfaces separating two piezoelectric solids. Acta Mech 224, 1077–1088 (2013). https://doi.org/10.1007/s00707-012-0804-z

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  • DOI: https://doi.org/10.1007/s00707-012-0804-z

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