99
Views
42
CrossRef citations to date
0
Altmetric
Original Articles

Symplectic model for piezoelectric wedges and its application in analysis of electroelastic singularities

&
Pages 225-251 | Received 10 Apr 2006, Accepted 03 Aug 2006, Published online: 01 Dec 2006

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (2)

X. F. Hu, H. Y. Gao, W. A. Yao & S. T. Yang. (2016) A symplectic analytical singular element for steady-state thermal conduction with singularities in composite structures. Numerical Heat Transfer, Part B: Fundamentals 70:5, pages 406-419.
Read now
Gülay Altay & M. Cengiz Dökmeci. (2007) Variational Principles for Piezoelectric, Thermopiezoelectric, and Hygrothermopiezoelectric Continua Revisited. Mechanics of Advanced Materials and Structures 14:7, pages 549-562.
Read now

Articles from other publishers (40)

Chenghui Xu, Sen Leng, Deen Li & Yajun Yu. (2023) A symplectic approach for the fractional heat transfer and thermal damage in 2D biological tissues. International Journal of Numerical Methods for Heat & Fluid Flow 33:9, pages 3073-3093.
Crossref
Chenghui Xu, Sen Leng, Zhenhuan Zhou, Xinsheng Xu & Zichen Deng. (2022) Accurate and straightforward symplectic approach for fracture analysis of fractional viscoelastic media. Applied Mathematics and Mechanics 43:3, pages 403-416.
Crossref
Yiwen Ni, Shengbo Zhu, Jiabin Sun, Zhenzhen Tong, Zhenhuan Zhou, Xinsheng Xu & Chee Wah Lim. (2021) An accurate model for free vibration of porous magneto-electro-thermo-elastic functionally graded cylindrical shells subjected to multi-field coupled loadings. Journal of Intelligent Material Systems and Structures 32:17, pages 2006-2023.
Crossref
Zhenting Yang, Xiong Yu, Zhenzhen Tong, Chenghui Xu, Zhenhuan Zhou & Xinsheng Xu. (2021) A novel isogeometric analysis enriched element for a V-notched one-dimensional hexagonal piezoelectric quasicrystal bi-material. Theoretical and Applied Fracture Mechanics 115, pages 103039.
Crossref
Xiaofei Hu, Weihua Chen, Peng Zhang & Weian Yao. (2021) An explicit crack-tip element for stationary dynamic cracks. Theoretical and Applied Fracture Mechanics 112, pages 102886.
Crossref
Xiaofei Hu, Weihua Chen, Peng Zhang, Tinh Quoc Bui & Weian Yao. (2020) A new crack-tip singular element for cracks in three-dimensional elastic bodies. Engineering Fracture Mechanics 235, pages 107148.
Crossref
Zhenting Yang, Xiong Yu, Chenghui Xu, Zhenzhen Tong, Zhenhuan Zhou & Xinsheng Xu. (2020) A novel Hamiltonian-based isogeometric analysis of one-dimensional hexagonal piezoelectric quasicrystal with mode III electrically permeable/impermeable cracks. Theoretical and Applied Fracture Mechanics 107, pages 102552.
Crossref
Yiwen Ni, Shengbo Zhu, Jiabin Sun, Zhenzhen Tong, Zhenhuan Zhou & Xinsheng Xu. (2020) Analytical buckling solution of magneto-electro-thermo-elastic cylindrical shells under multi-physics fields. Composite Structures 239, pages 112021.
Crossref
Xiaofei Hu, Xing Ding, Yanguang Zhao & Weian Yao. (2019) Thermal-Mechanical Fracture Analysis Considering Heat Flux Singularity. Journal of Heat Transfer 141:12.
Crossref
Shengbo Zhu, Yiwen Ni, Jiabin Sun, Zhenzhen Tong, Zhenhuan Zhou & Xinsheng Xu. (2019) Accurate buckling analysis of piezoelectric functionally graded nanotube-reinforced cylindrical shells under combined electro-thermo-mechanical loads. Journal of Mechanics of Materials and Structures 14:3, pages 361-392.
Crossref
Zhenhuan Zhou, Zhenting Yang, Wang Xu, Xiong Yu, Chenghui Xu & Xinsheng Xu. (2019) Evaluation of electroelastic singularity of finite-size V-notched one-dimensional hexagonal quasicrystalline bimaterials with piezoelectric effect. Theoretical and Applied Fracture Mechanics 100, pages 139-153.
Crossref
Chenghui Xu, Dalun Rong, Zhenzhen Tong, Zhenhuan Zhou, Jingjing Hu & Xinsheng Xu. (2019) Coupled effect of in-plane magnetic field and size effect on vibration properties of the completely free double-layered nanoplate system. Physica E: Low-dimensional Systems and Nanostructures 108, pages 215-225.
Crossref
Yi Xiao. (2019) Advance in Layered-Structures of Piezoelectricity. International Journal of Scientific Research in Science, Engineering and Technology, pages 336-351.
Crossref
Zhenhuan Zhou, Yiwen Ni, Shengbo Zhu, Zhenzhen Tong, Jiabin Sun & Xinsheng Xu. (2019) An accurate and straightforward approach to thermo-electro-mechanical vibration of piezoelectric fiber-reinforced composite cylindrical shells. Composite Structures 207, pages 292-303.
Crossref
Yiwen Ni, Zhenzhen Tong, Dalun Rong, Zhenhuan Zhou & Xinsheng Xu. (2018) Accurate thermal buckling analysis of functionally graded orthotropic cylindrical shells under the symplectic framework. Thin-Walled Structures 129, pages 1-9.
Crossref
Zhenhuan Zhou, Yuejie Li, Junhai Fan, Dalun Rong, Guohao Sui & Chenghui Xu. (2018) Exact vibration analysis of a double-nanobeam-systems embedded in an elastic medium by a Hamiltonian-based method. Physica E: Low-dimensional Systems and Nanostructures 99, pages 220-235.
Crossref
Yiwen Ni, Zhenzhen Tong, Dalun Rong, Zhenhuan Zhou & Xinsheng Xu. (2017) A new Hamiltonian-based approach for free vibration of a functionally graded orthotropic circular cylindrical shell embedded in an elastic medium. Thin-Walled Structures 120, pages 236-248.
Crossref
X.F. Hu, Q.S. Shen, J.N. Wang, W.A. Yao & S.T. Yang. (2017) A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface. Applied Mathematical Modelling 50, pages 361-379.
Crossref
Zhenhuan Zhou, Wang Xu, Andrew Y.T. Leung, Dalun Rong & Xinsheng Xu. (2017) A study of stress singularities arising at the multi-material interface in a V-notched bending plate. Engineering Fracture Mechanics 180, pages 179-194.
Crossref
W.X. Zhang, R.G. Liu & Y. Bai. (2017) Applications of the symplectic method in quasi-static analysis for viscoelastic functionally graded materials. Engineering Computations 34:4, pages 1314-1331.
Crossref
Chenghui XU, Dalun RONG, Zhenhuan ZHOU & Xinsheng XU. (2017) A novel Hamiltonian-based method for two-dimensional transient heat conduction in a rectangle with specific mixed boundary conditions. Journal of Thermal Science and Technology 12:2, pages JTST0021-JTST0021.
Crossref
X.F. Hu, H.Y. Gao, W.A. Yao & S.T. Yang. (2017) Study on steady-state thermal conduction with singularities in multi-material composites. International Journal of Heat and Mass Transfer 104, pages 861-870.
Crossref
C.H. Xu, Z.H. Zhou, X.S. Xu & A.Y.T. Leung. (2015) Electroelastic singularities and intensity factors for an interface crack in piezoelectric–elastic bimaterials. Applied Mathematical Modelling 39:9, pages 2721-2739.
Crossref
W.X. Zhang, Q.H. Qin & F. Yuan. (2014) A thermo-viscoelastic analysis using the eigenvector expansion method. Mechanics Research Communications 59, pages 1-5.
Crossref
C. H. Xu, Z. H. Zhou, X. S. Xu & A. Y. T. Leung. (2014) Fracture analysis of mode III crack problems for the piezoelectric bimorph. Archive of Applied Mechanics 84:7, pages 1057-1079.
Crossref
Hua Wang, Jianrui Chen & Xiaoyu Zhang. (2014) On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm. Abstract and Applied Analysis 2014, pages 1-7.
Crossref
M.H. Shen & S.Y. Hung. (2013) Analysis of a piezoelectric finite wedge under antiplane concentrated loads. International Journal of Mechanical Sciences 76, pages 1-8.
Crossref
Z H Zhou, X S Xu & A Y T Leung. (2013) Hamiltonian analysis of a magnetoelectroelastic notch in a mode III singularity. Smart Materials and Structures 22:9, pages 095018.
Crossref
Qing-Hua QinQing-Hua Qin. 2013. Advanced Mechanics of Piezoelectricity. Advanced Mechanics of Piezoelectricity 291 327 .
Qing-Hua QinQing-Hua Qin. 2013. Advanced Mechanics of Piezoelectricity. Advanced Mechanics of Piezoelectricity 205 247 .
Qing-Hua QinQing-Hua Qin. 2013. Advanced Mechanics of Piezoelectricity. Advanced Mechanics of Piezoelectricity 149 203 .
W. A. Yao & X. F. Hu. (2012) A Novel Singular Finite Element on Mixed-Mode Dugdale Model Based Crack. Journal of Engineering Materials and Technology 134:2.
Crossref
Ming-Ho Shen, Shih-Nung Chen & Che-Ping Lin. (2011) The interaction between a screw dislocation and a piezoelectric fiber composite with a wedge crack. Archive of Applied Mechanics 82:2, pages 215-227.
Crossref
Z.H. Zhou, X.S. Xu & A.Y.T. Leung. (2011) Analytical Mode III electromagnetic permeable cracks in magnetoelectroelastic materials. Computers & Structures 89:7-8, pages 631-645.
Crossref
Jian-Shan Wang, Xiaoqiao He & Qing-Hua Qin. 2011. IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials. IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials 153 161 .
Z.H. Zhou, X.S. Xu & A.Y.T. Leung. (2010) Mode III edge-crack in magneto-electro-elastic media by symplectic expansion. Engineering Fracture Mechanics 77:16, pages 3157-3173.
Crossref
C. W. Lim & X. S. Xu. (2010) Symplectic Elasticity: Theory and Applications. Applied Mechanics Reviews 63:5.
Crossref
L. Zhao & W.Q. Chen. (2009) Symplectic analysis of plane problems of functionally graded piezoelectric materials. Mechanics of Materials 41:12, pages 1330-1339.
Crossref
Z.H. Zhou, X.S. Xu & A.Y.T. Leung. (2009) The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts. International Journal of Solids and Structures 46:20, pages 3577-3586.
Crossref
Xiaoqiao He, Jian-Shan Wang & Qing-Hua Qin. (2007) Saint-Venant decay analysis of FGPM laminates and dissimilar piezoelectric laminates. Mechanics of Materials 39:12, pages 1053-1065.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.