2D Green's functions of defective magnetoelectroelastic solids under thermal loading

Engineering Analysis with Boundary Elements

Volumn 29, Issue 6, 2005, Pages 577-585

  Qin, Qing Hua ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Anisotropic; Bimaterial; Green's function; Half plane; Piezoelectric piezomagnetic; Thermal stress

Indexed keywords

BOUNDARY ELEMENT METHOD; ELASTICITY; GREEN'S FUNCTION; INTEGRAL EQUATIONS; MECHANICS; PIEZOELECTRIC DEVICES; THERMAL LOAD; THERMAL STRESS;

ANISOTROPIC; BIMATERIALS; HALF-PLANE; PIEZOELECTRIC/PIEZOMAGNETIC;

MAGNETOELECTRIC EFFECTS;

EID: 18844380663     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.11.002     Document Type: Article

References (48)

1. T. Mura Micromechanics of defects in solids 2nd ed. 1987 Martinus Nijhoff Publishers Dordrecht
2. Q.H. Qin Fracture mechanics of piezoelectric materials 2001 WIT Press Southampton
3. Q.H. Qin, and Y.W. Mai BEM for crack-hole problems in thermopiezoelectric materials Eng Frac Mech 69 2002 577 588
4. Y. Benveniste The determination of the elastic and electric-fields in a piezoelectric inhomogeneity J Appl Phys 72 1992 1086 1095
5. T. Chen Green's functions and the non-uniform transformation problem in a piezoelectric medium Mech Res Commun 20 1993 271 278
6. T. Chen, and F.Z. Lin Numerical evaluation of derivatives of the anisotropic piezoelectric Green's function Mech Res Commun 20 1993 501 506
7. M.L. Dunn Electroelastic Green's functions for transversely isotropic media and their application to the solution of inclusion and inhomogeneity problems Int J Eng Sci 32 1994 119 131
8. E. Pan A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids Eng Anal Boundary Elements 23 1999 67 76
9. H.A. Sosa, and M.A. Castro On concentrated load at boundary of a piezoelectric half-plane J Mech Phys Solids 42 1994 1105 1122
10. A.N. Norris Dynamic Green's functions in anisotropic, thermoelastic, and poroelastic solids Proc R Soc Lond A447 1994 175 188
11. N.M. Khutoryansky, and H.A. Sosa Dynamic representation formulas and fundamental solutions for piezoelectricity Int J Solids Struct 32 1995 3307 3325
12. H. Fan, K.Y. Sze, and W. Yang Two dimensional contact on a piezoelectric half space Int J Solids Struct 33 1996 1305 1315
13. Q.H. Qin Green's function and its application for piezoelectric plate with various openings Arch Appl Mech 69 1999 133 144
14. Q.H. Qin, and Y.W. Mai Crack branch in piezoelectric bimaterial system Int J Eng Sci 38 2000 673 693
15. E. Pan, and F.G. Yuan Three-dimensional Green's functions in anisotropic piezoelectric bimaterials Int J Eng Sci 38 2000 1939 1960
16. E. Pan, and F. Tonon Three-dimensional Green's functions in anisotropic piezoelectric solids Int J Solids Struct 37 2000 943 958
17. M.L. Dunn, and H.A. Wienecke Green's function for transversely isotropic piezoelectric solids Int J Solids Struct 33 1996 4571 4581
18. C.F. Gao, and W.X. Fan Green's functions for the plane problem in a half-infinite piezoelectric medium Mech Res Commun 25 1998 69 74
19. M.L. Dunn, and H.A. Wienecke Half-space Green's function for transversely isotropic piezoelectric solids J Appl Mech 66 1999 675 679
20. C.F. Gao, and J.H. YU Two-dimensional analysis of a semi-infinite crack in piezoelectric media Mech Res Commun 25 1998 695 700
21. B.J. Chen, Z.M. Xiao, and K.M. Liew On the interaction between a semi-infinite anti-crack and a screw dislocation in piezoelectric solid Int J Eng Sci 42 2004 1 11
22. H.J. Ding, B. Chen, and J. Liang On the green's functions for two-phase transversely isotropic piezoelectric media Int J Solids Struct 34 1997 3041 3057
23. C.F. Gao, H. Kessler, and H. Balke Green's function for anti-plane deformations of a circular arc-crack at the interface of piezoelectric materials Arch Appl Mech 73 2003 467 480
24. J.X. Liu, B. Wang, and S.Y. Du Line force, charge and dislocation in anisotropic piezoelectric materials with an elliptic hole or a crack Mech Res Commun 24 1997 399 405
25. P. Lu, and F.W. Williams Green's function of piezoelectric materials, with an elliptic hole or inclusion Int J Solids Struct 35 1998 651 664
26. C.F. Gao, and W.X. Fan Green's function for generalized 2D problems in piezoelectric media with an elliptic hole Mech Res Commun 25 1998 685 693
27. P. Lu, M.J. Tan, and K.M. Liew A further investigation of Green's functions for a piezoelectric media with a cavity or a crack Int J Solids Struct 37 2000 1065 1078
28. C.F. Gao, and W.X. Fan A general solution for the plane problem in piezoelectric media with collinear cracks Int J Eng Sci 37 1999 347 363
29. C.F. Gao, and M.Z. Wang Green's function of an interface crack between two dissimilar piezoelectric media Int J Solids Struct 38 2001 5323 5334
30. C.F. Gao, and M.Z. Wang General treatment on mode III interfacial crack problems in piezoelectric materials Arch Appl Mech 71 2001 296 306
31. Q.H. Qin Thermoelectroelastic Green's function for a piezoelectric plate containing an elliptic hole Mech Mater 30 1998 21 29
32. Q.H. Qin, and Y.W. Mai Thermoelectroelastic Green's function and its application for bimaterial of piezoelectric materials Arch Appl Mech 68 1998 433 444
33. Q.H. Qin Green's function for thermopiezoelectric materials with holes of various shapes Arch Appl Mech 69 1999 406 418
34. Q.H. Qin Thermoelectroelastic Green's function for thermal load inside or on the boundary of an elliptic inclusion Mech Mater 31 1999 611 626
35. Q.H. Qin Thermoelectroelastic solution on elliptic inclusions and its application to crack-inclusion problems Appl Mathe Model 25 2000 1 23
36. E. Pan Three dimensional Green's functions in anisotropic magnetoelectroelastic bimaterials Z Angew Math Phys 53 2002 815 838
37. E. Pan Exact solution for simply supported and multilayered magneto-electro-elastic plates J Appl Mech 68 2001 607 618
38. E. Pan, and P.R. Heyliger Exact solutions for magneto-electro-elastic laminates in cylindrical bending Int J Solids Struct 40 2003 6859 6876
39. A.K. Soh, J.X. Liu, and K.H. Hoon Three-dimensional Green's functions for transversely isotropic magnetoelectroelastic solids Int J Nonlinear Sci Num Simul 4 2003 139 148
40. J.H. Huang, Y.H. Chiu, and H.K. Liu Magneto-electro-elastic Eshelby tensors for a piezoelectric-piezomagnetic composite reinforced by ellipsoidal inclusions J Appl Phys 83 1998 5364 5370
41. J.Y. Li, and M.L. Dunn Anisotropic coupled-field inclusion and inhomogeneity problems Philos Mag A 77 1998 1341 1350
42. J.Y. Li Magneto-electro-elastic multi-inclusion and inhomogeneity problems and their applications in composite materials Int J Eng Sci 38 2000 1993 2011
43. P. Hou, Y.T.L. Andrew, and H.J. Ding The elliptical Hertzian contact of transversely isotropic magneto-electro-elastic bodies Int J Solids Struct 40 2003 2833 2850
44. J. Liu, X. Liu, and Y. Zhao Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack Int J Eng Sci 39 2001 1405 1418
45. D.M. Barnett, and J. Lothe Dislocations and line charges in anisotropic piezoelectric insulators Phys Stat Sol(b) 67 1975 105 111
46. J. Aboudi Micromechanical analysis of fully coupled electro-magneto- thermo-elastic multiphase composites Smart Mater Struct 10 2001 867 877
47. C.F. Gao, H. Kessler, and H. Balke Fracture analysis of electromagnetic thermoelastic solids Euro J Mech A/Solids 22 2003 433 442
48. Q.H. Qin A new solution for thermopiezoelectric solid with an insulated elliptic hole Acta Mech Sinica 14 1998 157 170