Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates

A twelve-dimensional Stroh-like formalism is developed for the coupled stretching, bending and polarization of a Kirchhoff anisotropic piezoelectric thin plate which is inhomogeneous and laminated along the thickness direction. The structure and explicit expressions of the fundamental piezoelectric...

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Main Authors: Wang, Xu, Zhou, Kun
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/106334
http://hdl.handle.net/10220/17718
http://dx.doi.org/10.1016/j.ijengsci.2013.06.004
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1063342019-12-06T22:09:22Z Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates Wang, Xu Zhou, Kun School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering A twelve-dimensional Stroh-like formalism is developed for the coupled stretching, bending and polarization of a Kirchhoff anisotropic piezoelectric thin plate which is inhomogeneous and laminated along the thickness direction. The structure and explicit expressions of the fundamental piezoelectric plate matrix and its inverse form are established. The formalism in a rotated coordinate system is presented. Then the fundamental piezoelectric plate matrix in dual coordinate systems can be addressed. Some identities associated with the new formalism are derived. It is rigorously proved that each 3 × 3 partitioned matrix of the introduced three 6 × 6 real matrices S, H and L and the 6 × 6 Hermitian matrix M is a second-order tensor. Sixty-four permuted forms of the twelve-dimensional formalism are presented. Finally, to demonstrate the applications of the new formalism, we investigate the effective electroelastic properties of a microcracked anisotropic piezoelectric thin plate within the framework of non-interaction approximation (NIA) and study the asymptotic problem associated with a semi-infinite interface crack between two dissimilar piezoelectric thin plates. 2013-11-15T07:17:40Z 2019-12-06T22:09:22Z 2013-11-15T07:17:40Z 2019-12-06T22:09:22Z 2013 2013 Journal Article Wang, X., & Zhou, K. (2013). Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates. International journal of engineering science, 71,111-136. 0020-7225 https://hdl.handle.net/10356/106334 http://hdl.handle.net/10220/17718 http://dx.doi.org/10.1016/j.ijengsci.2013.06.004 en International journal of engineering science
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering
spellingShingle DRNTU::Engineering::Mechanical engineering
Wang, Xu
Zhou, Kun
Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates
description A twelve-dimensional Stroh-like formalism is developed for the coupled stretching, bending and polarization of a Kirchhoff anisotropic piezoelectric thin plate which is inhomogeneous and laminated along the thickness direction. The structure and explicit expressions of the fundamental piezoelectric plate matrix and its inverse form are established. The formalism in a rotated coordinate system is presented. Then the fundamental piezoelectric plate matrix in dual coordinate systems can be addressed. Some identities associated with the new formalism are derived. It is rigorously proved that each 3 × 3 partitioned matrix of the introduced three 6 × 6 real matrices S, H and L and the 6 × 6 Hermitian matrix M is a second-order tensor. Sixty-four permuted forms of the twelve-dimensional formalism are presented. Finally, to demonstrate the applications of the new formalism, we investigate the effective electroelastic properties of a microcracked anisotropic piezoelectric thin plate within the framework of non-interaction approximation (NIA) and study the asymptotic problem associated with a semi-infinite interface crack between two dissimilar piezoelectric thin plates.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Wang, Xu
Zhou, Kun
format Article
author Wang, Xu
Zhou, Kun
author_sort Wang, Xu
title Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates
title_short Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates
title_full Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates
title_fullStr Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates
title_full_unstemmed Twelve-dimensional Stroh-like formalism for Kirchhoff anisotropic piezoelectric thin plates
title_sort twelve-dimensional stroh-like formalism for kirchhoff anisotropic piezoelectric thin plates
publishDate 2013
url https://hdl.handle.net/10356/106334
http://hdl.handle.net/10220/17718
http://dx.doi.org/10.1016/j.ijengsci.2013.06.004
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