The boundary contour method for piezoelectric media with quadratic boundary elements

Computers, Materials and Continua

Volumn 12, Issue 2, 2009, Pages 101-120

  Jiang, Aimin ^a   Wu, Yili ^a  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Boundary element method (BCM); Divergence; Piezoelectric media; Quadratic shape function

Indexed keywords

APPLIED MECHANICS; BOUNDARY CONTOUR METHODS; BOUNDARY ELEMENTS; DIVERGENCE FREE; EXACT SOLUTION; ILLUSTRATIVE EXAMPLES; NUMERICAL RESULTS; NUMERICAL SOLUTION; PIEZOELECTRIC MEDIA; RIGID-BODY MOTION; SHAPE FUNCTIONS;

FUNCTION EVALUATION; GREEN'S FUNCTION; PIEZOELECTRIC MATERIALS; PIEZOELECTRICITY; WELDS;

BOUNDARY ELEMENT METHOD;

EID: 77449152343     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Atluri, S.N. (2004): The Meshless Method(MLPG) for Domain & BIE Discretizations, 680 pages, Tech Science Press.
2. Carrera E., Boscolo M. (2007): Classical amd Mixed elements for static and dynamic analysis of piezolectric plates. International Journal for Numerical Methods in Engineering, Vol.70, pp. 1135-1181.
3. Carrera E., Brischetto S. (2007): Reissner Mixed Theorem Applied to Static Analysis of Piezoelectric Shells. Journal of Intelligent Material Systems and Structures, Vol.18, pp. 1083-1107. (Pubitemid 47438506)
4. Carrera E., Fagiano C. (2007): Mixed piezolectric plate elements with continuos transverse electric displacements. Journal of Mechanics of Materials and Structures, Vol.2, pp. 421-438.
5. Ding, H.J., Liang, J. (1999): The fundamental solutions for transversely isotropic piezoelectricity and boundary element method. Computers and Structures, Vol.77, pp.447-455.
6. Ding, H.J.,Wang, G.Q., Chen,W.Q. (1998): A boundary integral formulation and 2D fundamental solutions for piezoelectric media. Computer Methods in applied Mechanics and Engineering, Vol, No.5, pp. 65-80.
7. Dziatkiewicz, G., Fedelinski, P. (2007): Dynamic analysis of piezoelectric structures by the dual reciprocity boundary element method. CMES: Computer Modeling in Engineering & Sciences, Vol.17, No.1, pp.35-46.
8. Han, Z.D., Atluri, S.N. (2004): Meshless Local Petrov-Galerkin (MLPG) approaches for solving 3D Problems in elasto-statics. CMES: Computer Modeling in Engineering & Sciences, Vol.6, No.2, pp.169-188.
9. Jiang, A.M., Ding, H.J. (2006): The boundary contour method for magnetoelectro- elastic media with linear boundary elements. CMC: Computers, Materials & Continua, Vol.3, No.1, pp.1-12.
10. Nagarajan, A., Lutz, E., Mukherjee, S. (1994): A novel boundary element method for linear elasticity with no numerical integration for two-dimensional and line integrals for three- dimensional problems. Journal of Applied Mechanics(ASME), Vol.61, pp.164-269.
11. Nagarajan, A., Lutz, E., Mukherjee, S. (1996): The boundary contour method for three- dimensional linear elasticity. Journal of Applied Mechanics(ASME), Vol.63, pp.278-286. (Pubitemid 126764464)
12. Phan, A.V., Mukherjee, S., Mayer, J.R.R. (1997): The boundary contour method for two- dimensional linear elasticity with quadratic boundary elements. Computational Mechanics, Vol.20, pp.310-319. (Pubitemid 127566043)
13. Reutskiy, S. Yu. (2005): The method of fundamental solutions for eigenproblems with Laplace and biharmonic operators. CMC: Computers, Materials, & Continua, Vol.2, No.3, pp.177-188.
14. Sanz, J.A., Solis, M., Dominguez, J. (2007): Hypersingular BEM for piezoelectric solids: formulation and applications for fracture mechanics. CMES: Computer Modeling in Engineering & Sciences, Vol.17, No.3, pp.215-230.
15. Sergia Colli, Massimiliano Gei, Davide Bigoni (2009): A boundary element formulation for incremental nonlinear elastic deformation of compressible solids. CMES: Computer Modeling in Engineering & Sciences, Vol.40, No.1, pp. 29-62.
16. Soares Jr.,D., Vinagre, M.P. (2008): Numerical Computation of Electromagnetic Fields by the Time-Domain Boundary Element Method and the Complex Variable Method. CMES: Computer Modeling in Engineering & Sciences, Vol.25, No.1, pp.1-8.
17. Tan, C.L., Shiah, Y.C., Lin, C.W. (2009): Stress analysis of 3D generally anisotropic elastic solids using the boundary element method. CMES: Computer Modeling in Engineering & Sciences, Vol.41, No.3, pp.195-214.
18. Wu, Chih-Ping, Syu, Yun-Siang (2006): Asymptotic solutions for multilayered piezoelectric cylinders under electromechanical Loads. CMC: Computers, Materials & Continua, Vol.4, No.1, pp.87-108.
19. Wu, Chih-Ping, Liu, Kuo-Yen (2007): A state space approach for the analysis ofdoubly curved functionally graded elastic and piezoelectric shells. CMC: Computers, Materials & Continua, Vol.6, No.3, pp.177-200.
20. Yoshihiro Ochiai, Vladimir Sladek (2004): Numerical Treatment of Domain Integrals without Internal Cells in Three-Dimensional BIEM Formulations. CMES: Computer Modeling in Engineering & Sciences, Vol.6, No.6, pp.525-536.
21. Zhou, S.J., Cao, Z.Y., Sun, S.X. (2000): Some advancements of boundary contour method. Journal of Chongqing Jianzhu University, Vol.22, pp.117-120.