Analysis of cracks in 3D piezoelectric media with various electrical boundary conditions
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- 作者：J. Rungamornrat ; W. Phongtinnaboot…
- 关键词：Cracks ; Electrical boundary conditions ; Piezoelectric media ; SGBEM ; Stress intensity factor ; Electric intensity factor ; Weakly singular
- 刊名：International Journal of Fracture
- 出版年：2015
- 出版时间：April 2015
- 年：2015
- 卷：192
- 期：2
- 页码：133-153
- 全文大小：1,343 KB
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Rungamornrat J, Mear ME (2008b) Analysis of fractures in 3D piezoelectric - 作者单位：J. Rungamornrat (1)
W. Phongtinnaboot (2)
A. C. Wijeyewickrema (3)
1. Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok, 10330, Thailand
2. Department of Civil Engineering, Faculty of Engineering, Burapha University, Chonburi, 20131, Thailand
3. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Tokyo, 152-8552, Japan - 刊物类别：Chemistry and Materials Science
- 刊物主题：Chemistry
Characterization and Evaluation Materials
Mechanics
Civil Engineering
Automotive and Aerospace Engineering and Traffic
Mechanical Engineering - 出版者：Springer Netherlands
- ISSN：1573-2673
文摘
A weakly singular, symmetric Galerkin boundary element method capable of solving problems of isolated cracks in three-dimensional, linear anisotropic piezoelectric, infinite media with various types of crack-face boundary conditions including impermeable, permeable, semi-permeable, and the energetically consistent boundary condition introduced by Landis (Int J Solids Struct 41:6291-315, 2004) is established. The key governing boundary integral equation used in the formulation possesses several crucial features including its desirable symmetric weak-form, weakly singular nature, and ability to treat general material anisotropy, arbitrary crack configurations and any type of boundary condition on the crack surface. The positive consequence of utilizing the singularity-reduced integral equations in the modeling, is that all involved singular integrals can be interpreted in the sense of Riemann and their validity requires only continuous crack-face data allowing \(\hbox {C}^{0}\)-interpolation functions to be employed everywhere in the numerical discretization. Special crack-tip elements with appropriate square-root functions are adopted in a local region along the crack front to accurately approximate the relative crack-face displacement and electric potential. With use of these crack-tip elements, the stress and electric intensity factors can be extracted directly in terms of crack-front nodal data. A system of nonlinear algebraic equations resulting from semi-permeable and energetically consistent boundary conditions is solved by standard Newton–Raphson iterative scheme. Various numerical examples of both planar and non-planar cracks under different types of electrical boundary conditions are considered and the proposed technique is found promising and computationally robust. In addition, it was determined that using crack-tip elements along the crack front significantly enhances the computational performance and that the stress and electric intensity factors can be obtained accurately using relatively coarse meshes.