Numerical determination of effective properties of voided piezoelectric materials using BNM

Engineering Analysis with Boundary Elements

Volumn 29, Issue 6, 2005, Pages 636-646

  Wang, Hongtao ^a   Tan, Guowen ^a   Cen, Song ^a   Yao, Zhenhan ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Boundary node method; Effective properties; Piezoelectric material; Voids

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; COMPOSITE MICROMECHANICS; ELASTICITY; ELECTROSTATICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

BOUNDARY NODE METHOD (BNM); EFFECTIVE PROPERTIES; PIEZOELECTRIC STRUCTURES; VOIDS;

PIEZOELECTRIC MATERIALS;

EID: 18844420495     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2005.01.014     Document Type: Article

References (27)

1. Q.H. Qin Micromechanics - BE solution for properties of piezoelectric materials with defects Eng Anal Bound Elem 28 2004 809 814
2. A.R. Day, K.A. Snyder, E.J. Garboczi, and M.F. Torpe The elastic moduli of a sheet containing circular holes J Mech Phys Solids 40 1992 1031 1051
3. I. Jasius, C. Chen, and M.F. Thorp Elastic moduli of two-dimensional materials with polygonal and elliptical holes Appl Mech Rev 47 1994 S18 S28
4. M. Kachanov, I. Tsukrov, and B. Shafiro Effective moduli of solids with cavities of various shapes Appl Mech Rev 47 1994 S151 S174
5. Z.H. Li, C. Wang, and C.Y. Chen Effective electromechanical properties of transversely isotropic piezoelectric ceramics with microvoids Comput Mater Sci 27 2003 381 392
6. T. Mori, and K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall 21 1973 571 574
7. T.L. Wu Micromechanics determination of electroelastic properties of piezoelectric materials containing voids Mater Sci Eng A 280 2000 320 327
8. Q.H. Qin, and S.W. Yu Effective moduli of thermopiezoelectric material with microcavities Int J Solids Struct 35 1998 5085 5095
9. Q.H. Qin Fracture mechanics of piezoelectric materials 2000 WIT Press Southampton
10. N. Hu, B. Wang, G.W. Tan, Z.H. Yao, and W.F. Yuan Effective elastic properties of 2D solids with circular holes: numerical simulations Compos Sci Technol 60 2000 1811 1823
11. Z.H. Yao, F.Z. Kong, H.T. Wang, and P.B. Wang 2D simulation of composite materials using BEM Eng Anal Bound Elem 28 2004 927 935
12. V.S. Kothnur, S. Mukherjee, and Y.X. Mukherjee Two-dimensional linear elasticity by the boundary node method Int J Solids Struct 36 8 1999 1129 1147
13. Y.T. Gu, and G.R. Liu A boundary point interpolation method for stress analysis of solids Comput Mech 28 2002 47 54
14. J.M. Zhang, Z.H. Yao, and M. Tanaka The meshless regular hybrid boundary node method for 2D linear elasticity Eng Anal Bound Elem 27 3 2003 259 268
15. J.S. Lee Boundary element method for electroelastic interaction in piezo ceramics Eng Anal Bound Elem 15 1995 321 328
16. H.J. Ding, G.Q. Wang, and W.Q. Chen A boundary integral formulation and 2D fundamental solutions for piezoelectric media Comput Methods Appl Mech Eng 158 1998 65 80
17. H.J. Ding, W.Q. Chen, and A.M. Jiang Green's functions and boundary element method for transversely isotropic piezoelectric materials Eng Anal Bound Elem 28 2004 975 987
18. Y.J. Liu, and H. Fan On the conventional boundary integral equation formulation for piezoelectric solids with defects or of thin shapes Eng Anal Bound Elem 25 2001 77 91
19. J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion and related problems Proc R Soc London A 241 1957 376 396
20. H.A. Sosa, and M.A. Casto Elastoelastric analysis of piezoelectric laminated structures Appl Mech Rev 46 1993 21 28
21. H.A. Sosa, and M.A. Casto On concentrated loads at the boundary of a piezoelectric half-plane J Mech Phys Solids 12 1994 1105 1122
22. M.L. Dunn, and M. Taya Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites Int J Solids Struct 30 1993 161 175
23. J.Y. Li, and M. Dunn Variational bounds for the effective moduli of heterogeneous piezoelectric solids Philos Mag A 81 4 2001 903 926
24. M. Dunn, and M. Taya Electromechanical properties of porous piezoelectric ceramics J Am Ceram Soc 76 7 1993 1697 1706
25. J.Y. Li, and M. Dunn Analysis of microstructural fields in heterogeneous piezoelectric solids Int J Eng Sci 37 1999 665 685
26. Y.X. Mukherjee, and S. Mukherjee The boundary node method for potential problems Int J Numer Methods Eng 40 1997 797 815
27. Y. Mikata Determination of piezoelectric Eshelby tensor in transversely isotropic piezoelectric solids Int J Eng Sci 38 2000 605 641