Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges

Jian Shan Wang; Xiaoqiao He; Qing Hua Qin

doi:10.1007/978-90-481-9887-0_15

Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges

Jian Shan Wang^*, Xiaoqiao He, Qing Hua Qin

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Citations (Scopus)

Abstract

An analytical solution is presented to study the singularity behavior of electroelastic fields in a wedge with angularly graded piezoelectric material (AGPM) and under anti-plane deformation. The analysis is based on the mixed-variable state space formulation developed in this paper. The characteristic equation containing the singular order is derived using the method of variable separation. The results presented demonstrate the effects of the angular variation of material properties on the singularities of the AGPM wedge systems. The analysis indicates that the material inhomogeneity degree η can be used to control the singularities of AGPM wedge systems.

Original language	English
Title of host publication	IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater
Subtitle of host publication	Proc of the IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater held in Freiberg DEU, Sep.1-4, 2009
Publisher	Springer Verlag
Pages	153-161
Number of pages	9
ISBN (Print)	9789048198863
DOIs	https://doi.org/10.1007/978-90-481-9887-0_15
Publication status	Published - 2011

Publication series

Name	IUTAM Bookseries
Volume	24
ISSN (Print)	1875-3507

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10.1007/978-90-481-9887-0_15

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Wang, J. S., He, X., & Qin, Q. H. (2011). Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges. In IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater: Proc of the IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater held in Freiberg DEU, Sep.1-4, 2009 (pp. 153-161). (IUTAM Bookseries; Vol. 24). Springer Verlag. https://doi.org/10.1007/978-90-481-9887-0_15

Wang, Jian Shan ; He, Xiaoqiao ; Qin, Qing Hua. / Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges. IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater: Proc of the IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater held in Freiberg DEU, Sep.1-4, 2009. Springer Verlag, 2011. pp. 153-161 (IUTAM Bookseries).

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title = "Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges",

abstract = "An analytical solution is presented to study the singularity behavior of electroelastic fields in a wedge with angularly graded piezoelectric material (AGPM) and under anti-plane deformation. The analysis is based on the mixed-variable state space formulation developed in this paper. The characteristic equation containing the singular order is derived using the method of variable separation. The results presented demonstrate the effects of the angular variation of material properties on the singularities of the AGPM wedge systems. The analysis indicates that the material inhomogeneity degree η can be used to control the singularities of AGPM wedge systems.",

author = "Wang, {Jian Shan} and Xiaoqiao He and Qin, {Qing Hua}",

year = "2011",

doi = "10.1007/978-90-481-9887-0_15",

language = "English",

isbn = "9789048198863",

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address = "Germany",

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Wang, JS, He, X & Qin, QH 2011, Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges. in IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater: Proc of the IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater held in Freiberg DEU, Sep.1-4, 2009. IUTAM Bookseries, vol. 24, Springer Verlag, pp. 153-161. https://doi.org/10.1007/978-90-481-9887-0_15

Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges. / Wang, Jian Shan; He, Xiaoqiao; Qin, Qing Hua.
IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater: Proc of the IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater held in Freiberg DEU, Sep.1-4, 2009. Springer Verlag, 2011. p. 153-161 (IUTAM Bookseries; Vol. 24).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges

AU - Wang, Jian Shan

AU - He, Xiaoqiao

AU - Qin, Qing Hua

PY - 2011

Y1 - 2011

N2 - An analytical solution is presented to study the singularity behavior of electroelastic fields in a wedge with angularly graded piezoelectric material (AGPM) and under anti-plane deformation. The analysis is based on the mixed-variable state space formulation developed in this paper. The characteristic equation containing the singular order is derived using the method of variable separation. The results presented demonstrate the effects of the angular variation of material properties on the singularities of the AGPM wedge systems. The analysis indicates that the material inhomogeneity degree η can be used to control the singularities of AGPM wedge systems.

AB - An analytical solution is presented to study the singularity behavior of electroelastic fields in a wedge with angularly graded piezoelectric material (AGPM) and under anti-plane deformation. The analysis is based on the mixed-variable state space formulation developed in this paper. The characteristic equation containing the singular order is derived using the method of variable separation. The results presented demonstrate the effects of the angular variation of material properties on the singularities of the AGPM wedge systems. The analysis indicates that the material inhomogeneity degree η can be used to control the singularities of AGPM wedge systems.

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U2 - 10.1007/978-90-481-9887-0_15

DO - 10.1007/978-90-481-9887-0_15

M3 - Chapter

SN - 9789048198863

T3 - IUTAM Bookseries

SP - 153

EP - 161

BT - IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater

PB - Springer Verlag

ER -

Wang JS, He X, Qin QH. Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges. In IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater: Proc of the IUTAM Symp on Multiscale Modell of Fatigue, Damage and Fract in Smart Mater held in Freiberg DEU, Sep.1-4, 2009. Springer Verlag. 2011. p. 153-161. (IUTAM Bookseries). doi: 10.1007/978-90-481-9887-0_15

Singularity analysis of electro-mechanical fields in angularly inhomogeneous piezoelectric composites wedges

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