Homogenization of very rough interfaces separating two piezoelectric solids

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 thenwritten down in component formfor some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications

Title: 

Homogenization of very rough interfaces separating two piezoelectric solids
Authors: Pham, Chi Vinh
Do, Xuan Tung
Issue Date: 2013
Publisher: SPRINGER WIEN, SACHSENPLATZ 4-6, PO BOX 89, A-1201 WIEN, AUSTRIA
Citation: ISIKNOWLEDGE
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 thenwritten down in component formfor some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications
Description: ACTA MECHANICA Volume: 224 Issue: 5 Pages: 1077-1088 Published: MAY 2013 ; TNS07272
URI: http://link.springer.com/article/10.1007/s00707-012-0804-z
http://repository.vnu.edu.vn/handle/VNU_123/32737
ISSN: 0001-5970
Appears in Collections:Bài báo của ĐHQGHN trong Web of Science

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