Exact solution for 2D polygonal inclusion problem in anisotropic magnetoelectroelastic full-, half-, and bimaterial-planes

International Journal of Solids and Structures

Volumn 41, Issue 16-17, 2004, Pages 4361-4382

  Jiang, X ^a   Pan, E ^a  

^a University of Akron   (United States)

Author keywords

Composite patches; Eshelby problem; Exact closed form solution; Full , half , and bimaterial planes; Magnetoelectroelastic Green's functions; Polygonal inclusion; Quantum wire

Indexed keywords

ANISOTROPY; GREEN'S FUNCTION; NANOSTRUCTURED MATERIALS; SEMICONDUCTOR DEVICES;

BIMATERIAL-PLANES; MAGNETOELECTROELASTIC SOLIDS;

MATERIALS SCIENCE;

INCLUSION;

EID: 3042581063     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.03.017     Document Type: Article

References (76)

1. Aboudi, J., 2000. Micromechanical prediction of the effective behavior of fully coupled electro-magneto-thermo-elastic multiphase composites. NASA/CR2000-209787, pp. 1-16
2. Aboudi J. Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites Smart Mater. Struct. 10 2001 867-877
3. Andreev A.D. O'Reilly E.P. Theory of the electronic structure of GaN/AlN hexagonal quantum dots Phys. Rev. B 62 2000 15851-15870
4. Austing D.G. Sasaki S. Tarucha S. Reimann S.M. Koskinen M. Manninen M. Ellipsoidal deformation of vertical quantum dots Phys. Rev. B 60 1999 11514-11523
5. Benveniste Y. Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases Phys. Rev. B 51 1995 16424-16427
6. Caro L.D. Tapfer L. Strain and piezoelectric fields in arbitrarily oriented semiconductor heterostructures. II. Quantum wires Phys. Rev. B 51 1995 4381-4387
7. Chen W.Q. Lee K.Y. Alternative state space formulations for magnetoelectric thermoelasticity with transverse isotropy and the application to bending analysis of nonhomogeneous plates Int. J. Solids Struct. 40 2003 5689-5705
8. Chung P.W. Namburu R.R. On a formulation for a multiscale atomistic-continuum homogenization method Int. J. Solids Struct. 40 2003 2563-2588
9. Daher N. Electromagnetomechanical media including irreversible processes and interfacial properties Synth. Met. 76 1996 327-330
10. Dietl T. Ohno H. Matsukura F. Hole-mediated ferromagnetism in tetrahedrally coordinated semiconductors Phys. Rev. B 63 2001 195-205
11. Ding H.J. Jiang A.M. Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation Sci. China E 46 2003 607-619
12. Duong C.N. Yu J. Analysis of a plate containing a polygon-shaped inclusion with a uniform eigencurvature J. Appl. Mech. 70 2003 404-407
13. Ellaway S.W. Faux D.A. Effective elastic stiffness of InAs under uniform strain J. Appl. Phys. 92 2002 3027-3033
14. Erber T. Guralnick S.A. Desai R.D. Kwok W. Piezomagnetism and fatigue J. Phys. D: Appl. Phys. 30 1997 2818-2836
15. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problem Proc. Roy. Soc. A 241 1957 376-396
16. Faux D.A. Downes J.R. O'Reilly E.P. Analytic solutions for strain distribution in quantum-wire structures J. Appl. Phys. 82 1997 3754-3762
17. Fiebig M. Lottermoser Th. Frohlich D. Goltsev A.V. Pisarev R.V. Observation of coupled magnetic and electric domains Nature 419 2002 818-820
18. Frank T. Schilling C. The development of cascadable microdrives with muscle-like operating behaviour J. Micromech. Microeng. 8 1998 222-229
19. Gao C.-F. Kessler H. Balke H. Crack problems in magnetoelectroelastic solids. Part I: exact solution of a crack Int. J. Engng. Sci. 41 2003 969-981
20. Gao C.-F. Tong P. Zhang T.Y. Interfacial crack problems in magneto-electroelastic solids Int. J. Engng. Sci. 41 2003 2105-2121
21. Gibbs M.R.J. Watts R. Karl W. Powell A.L. Yates R.B. Microstructures containing piezomagnetic elements Sensors Actuat. A 59 1997 229-235
22. Gippius N.A. Tikhodeev S.G. Forchel A. Kulakovskii V.D. Polarization-dependent optical effects in open quantum well wires Superlatt. Microstruct. 16 1994 165-167
23. Glas F. Elastic relaxation of a truncated circular cylinder with uniform dilatational eigenstrain in a half space Phys. Stat. Sol. B 237 2003 599-610
24. Goldoni G. Rossi F. Molinari E. Fasolino A. Rinaldi R. Cingolani R. Valence band spectroscopy in V-grooved quantum wires Appl. Phys. Lett. 69 1996 2965-2967
25. Goldoni G. Rossi F. Molinari E. Excitonic effects in quantum wires Phys. Stat. Sol. (a) 164 1997 265-271
26. Goldoni G. Rossi F. Molinari E. Quantum interference in nanometric devices: Ballistic transport across array of T-shaped quantum wires Appl. Phys. Lett. 71 1997 1519-1521
27. Goldoni G. Rossi F. Molinari E. Strong exciton binding in hybrid GaAs-based nanostructures Physica B 272 1999 518-521
28. Grundmann M. Stier O. Bimberg D. Symmetry breaking in pseudomorphic V-groove quantum wires Phys. Rev. B 50 1994 14187-14192
29. Grundmann M. Stier O. Bimberg D. Electronic states in strained cleaved-edge-overgrowth quantum wires and quantum dots Phys. Rev. B 58 1998 10557-10561
30. Gustafsson A. Samuelson L. Hessman D. Malm J.-O. Vermeire G. Demeester P. Characterization of a single-layer quantum wire structure grown directly on a submicron grating J. Vac. Sci. Technol. B 13 1994 308-317
31. Gustafsson A. Malm J.-O. Carlsson A. Vermeire G. High-resolution transmission electron microscopy studies of quantum wire structures grown on submicrometre gratings of V-grooves Semicond. Sci. Technol. 11 1996 1745-1755
32. Horiguchi K. Shindo Y. Experimental and theoretical results for bending of a soft ferromagnetic plate in a transversely magnetic field Acta Mech. 162 2003 185-194
33. Huang J.H. Kuo W.-S. The analysis of piezoelectric/peizomagnetic composite materials containing ellipsoidal inclusions J. Appl. Phys. 81 1997 1378-1386
34. Itoh H. Hayamizu Y. Yoshita M. Akiyama H. Pfeiffer L.N. West K.W. Szymanska M.H. Littlewood P.B. Polarization-dependent photoluminescence-excitation spectra of one-dimensional exciton and continuum states in T-shaped quantum wires Appl. Phys. Lett. 83 2003 2043-2045
35. Jogai B. Albrecht J.D. Pan E. Electromechanical coupling in free-standing AlGaN/GaN planar structures J. Appl. Phys. 94 2003 6566-6573
36. Kapon E. Hwang D.M. Bhat R. Stimulated emission in semiconductor quantum wire heterostructures Phys. Rev. Lett. 63 1989 430-433
37. Kapon E. Walther M. Christen J. Grundmann M. Caneau C. Hwang D.M. Colas E. Bhat R. Song G.H. Bimberg D. Quantum wire heterostructures for optoelectronic applications Superlatt. Microstruct. 12 1992 491-499
38. Lang I.G. Korovin L.I. Cruz-Alcaz J.A. de la Pavlov S.T. Quantum theory of conductivity of spatially inhomogeneous systems J. Exp. Theor. Phys. 96 2003 268-285
39. Li J.Y. Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials Int. J. Engng. Sci. 38 2000 1993-2011
40. Li J.Y. Uniqueness and reciprocity theorems for linear thermo-electro-magneto-elasticity Q. J. Mech. Appl. Math. 56 2003 35-43
41. Li J.Y. Dunn M.L. Anisotropic coupled-field inclusion and inhomogeneity problems Philos. Mag. A 77 1998 1341-1350
42. Liu J.-X. Liu X.-L. Zhao Y.-B. Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack Int. J. Engng. Sci. 39 2001 1405-1418
43. Liu X.-Q. Wang X.-L. Ogura M. Guillet T. Voliotis V. Grousson R. Piezoelectric effects in ultrahigh quality AlGaAs/GaAs single quantum wire Physica E 13 2002 194-198
44. Lomascolo M. Rinaldi R. Passaseo A. Vittorio M.D. Giorgi M.D. Cingolani R. Caro L.D. Tapfer L. Taurino A. Catalano M. Time resolved screening of the piezoelectric field in InGaAs/GaAs V-shaped quantum wires of variable profile J. Phys.: Condens. Matter. 11 1999 5989-5997
45. 1-xAs/GaAs V-shaped quantum wires Phys. Rev. B 61 2000 12658-12661
46. Mauritz O. Goldoni G. Molinari E. Rossi F. Local optical spectroscopy of semiconductor nanostructures in the linear regime Phys. Rev. B 62 2000 8204-8211
47. Mazumder S. Battacharyya G.S. Magnetoelectric behavior in in situ grown piezoelectric and piezomagnetic composite-phase system Mater. Res. Bull. 38 2003 303-310
48. Meeker, D.C., Dozor, D.M., 1999. Thermomagnetic optimization of solenoidal magnetostrictive actuators. In: Smart Structures and Materials. Newport Beach, CA, March, 1999
49. Miura N. Kunimastsu H. Uchida K. Matsuda Y. Yasuhira T. Nakashima H. Sakuma Y. Awano Y. Futatsugi T. Yokoyama N. Magneto-optical study of excitons in quantum wells, wires and dots in high magnetic fields Physica B 256-258 1998 308-318
50. Mura T. Micromechanics of Defects in Solids second ed. 1987 Kluwer Academic Publishers
51. Mura T. The determination of the elastic field of a polygonal star shaped inclusion Mech. Res. Commun. 24 1997 473-482
52. Nan C.-W. Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases Phys. Rev. B 50 1994 6082-6088
53. Nozaki H. Taya M. Elastic fields in a polygon-shaped inclusion with uniform eigenstrains J. Appl. Mech. 64 1997 495-502
54. Pan E. Exact solution for simply supported and multilayered magneto-electro-elastic plates J. Appl. Mech. 68 2001 608-618
55. Pan E. Three-dimensional Green's functions in anisotropic magneto-electro-elastic bimaterials Z. Angew. Math. Phys. 53 2002 815-838
56. Pan E. Elastic and piezoelectric fields around a quantum dot: Fully coupled or semicoupled model? J. Appl. Phys. 91 2002 3785-3796
57. Pan E. Eshelby Problem of polygonal inclusion in anisotropic piezoelectric full- and half-planes J. Mech. Phys. Solids 52 2004 567-589
58. Pan E. Eshelby Problem of polygonal inclusions in anisotropic piezoelectric bimaterials Proceedings of the Royal Society of London A 460 2004 537-560
59. Pan, E., Han, F. Exact solution for functionally graded and layered magneto-electro-elastic plates, submitted for publication
60. Pan E. Heyliger P.R. Free vibrations of simply supported and multilayered magneto-electro-elastic plates J. Sound Vibrat. 252 2002 429-442
61. Pan, E., Jiang, X., 2003. QWR induced elastic strain and electric field on the surface of semiconductor substrate GaAs. In: Proceedings of the 2003 International Conference on Computational - Experimental Engineering - Sciences, Corfu, Greece, 2003
62. 1-x Science 295 2002 651-654
63. Rinaldi R. Cingolani R. Lepore M. Ferrara M. Catalano I.M. Rossi F. Rota L. Molinari E. Lugli P. Marti U. Martin D. Morier-Gemoud F. Ruterana P. Reinhart F.K. Exciton binding energy in GaAs V-shaped quantum wires Phys. Rev. Lett. 73 1994 2899-2902
64. Rodin G.J. Eshelby's inclusion problem for polygons and polyhedra J. Mech. Phys. Solids 44 1996 1977-1995
65. Rossi F. Goldoni G. Molinari E. Shape-independent scaling of excitonic confinement in realistic quantum wires Phys. Rev. Lett. 78 1997 3527-3530
66. Rossi F. Goldoni G. Mauritz O. Molinari E. Theory of excitonic confinement in semiconductor quantum wires J. Phys.: Condens. Matter. 11 1999 5969-5988
67. Ru C.Q. Analytical solution for Eshelby's problem of an inclusion of arbitrary shape in a plane or half-plane J. Appl. Mech. 66 1999 315-322
68. Ru C.Q. Eshelby's problem for two-dimensional piezoelectric inclusions of arbitrary shape Proc. R. Soc. Lond. A. 456 2000 1051-1068
69. Ryu J. Priya S. Uchino K. Kim H.-E. Magnetoelectric effect in composites of magnetostrictive and piezoelectric materials J. Electroceram. 8 2002 107-119
70. Sander D. The correlation between mechanical stress and magnetic anisotropy in ultrathin films Rep. Prog. Phys. 62 1999 809-858
71. Soh A.K. Liu J.X. Hoon K.H. Three-dimensional Green's functions for transversely isotropic magnetoelectroelastic solids Int. J. Nonlinear Sci. 4 2003 139-148
72. Ting T.C.T. Anisotropic Elasticity 1996 Oxford University Press Oxford
73. Wang X. Shen Y.-P. Inclusions of arbitrary shape in magnetoelectroelastic composite materials Int. J. Engng. Sci. 41 2003 85-102
74. Wang X. Zhong Z. A circular tube or bar of cylindrically anisotropic magnetoelectroelastic material under pressuring loading Int. J. Engng. Sci. 41 2003 2143-2159
75. Wang X. Zhong Z. Three-dimensional solution of smart laminated anisotropic circular cylindrical shells with imperfect bonding Int. J. Solids Struct. 40 2003 5901-5921
76. Yu H.Y. Two-dimensional elastic defects in orthotropic bicrystals J. Mech. Phys. Solids 49 2001 261-287