Analytical solutions for the magnetoelectric effect of multilayered magneto-electro-elastic media

Smart Materials and Structures

Volumn 17, Issue 4, 2008, Pages

  Wang, Jianguo ^a   Li, Xuefeng ^a  

^a HEFEI UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; ENERGY ABSORPTION; INTEGRAL EQUATIONS; MAGNETIC FIELD EFFECTS; MAGNETOELECTRIC EFFECTS; MAGNETOELECTRONICS; MAGNETOS; ORDINARY DIFFERENTIAL EQUATIONS; SOLUTIONS; STRUCTURE (COMPOSITION); TRANSFER MATRIX METHOD; VECTORS;

ANALYTICAL FORMULATIONS; ANALYTICAL SOLUTIONS; AXISYMMETRIC PROBLEMS; BOUSSINESQ'S SOLUTIONS; ELASTIC MEDIAS; ELECTRIC DISPLACEMENTS; GOVERNING EQUATIONS; HANKEL INTEGRAL TRANSFORMS; HANKEL INTEGRALS; HANKEL TRANSFORMS; MAGNETIC INDUCTIONS; MIXED FORMULATIONS; MULTILAYERED; NUMERICAL RESULTS; PHYSICAL QUANTITIES; SINGLE LAYERS; SPACE PROBLEMS; STACKING SEQUENCES; STATE VECTOR EQUATIONS; STATE VECTORS; TRANSFER MATRIXES; TRANSVERSELY ISOTROPIC;

PROBLEM SOLVING;

EID: 56449130379     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/17/4/045028     Document Type: Article

References (30)

1. Harshe G, Dougherty J P and Newnham R E 1993 Theoretical modeling of multiplayer magnetoelectric composites Int. J. Appl. Electromagn. Mater. 4 145-59
2. Nan C W 1994 Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases Phys. Rev. B B50 6082-8
3. Benveniste Y 1995 Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases Phys. Rev. B B51 16424-7
4. Wereley N M, Cho JU, Choi Y T and Choi S B 2008 Magnetorheological dampers in shear mode Smart Mater. Struct. 17 015022
5. Huang J H, Chiu Y H and Liu H K 1998 Magneto-electro-elastic Eshelby tensors for a piezomagnetic composite reinforced by ellipsoidal inclusions J. Appl. Phys. 83 5364-70
6. Kirchner H O K and Alshits V I 1996 Elastically anisotropic angularly inhomogeneous media: the Green's function for piezoelectric, piezomagnetic and magnetoelectric media Phil. Mag. 74 861-85
7. Pan E 2001 Exact solution for simply supported and multilayered magneto-electro-elastic plates J. Appl. Mech. 68 608-18
8. Pan E and Heyliger P R 2002 Free vibrations of simply supported and multilayered magneto-electro-elastic plates J. Sound Vib. 252 429-42
9. Lage R G, Soares C M M, Soares C A M and Reddy J N 2004 Layerwise partial mixed finite element analysis of magneto-electro-elastic plates Comput. Struct. 82 1293-301
10. Buchanan G R 2003 Free vibration of an infinite magneto-electro-elastic cylinder J. Sound Vib. 268 413-26
11. Buchanan G R 2004 Layered verses multiphase magneto-electro-elastic composites Composites B 35 413-20
12. Bhangale R K and Ganesan N 2005 Free vibration studies of simply supported non-homogeneous functionally graded magneto-electroelastic finite cylindrical shells J. Sound Vib. 288 412-22
13. Bhangale R K and Ganesan N 2006 Static analysis of functionally graded and layered magneto-electro-elastic plate Int. J. Solids Struct. 43 3230-53
14. Pan E and Han F 2005 Exact solution for functionally graded and layered magneto-electro-elastic plates Int. J. Eng. Sci. 43 321-39
15. Heyliger P R and Pan E 2004 Static fields in magnetoelectroelastic laminates AIAA J. 42 1435-43
16. Heyliger P R, Ramirez F and Pan E 2004 Two-dimensional static fields in magnetoelectroelastic laminates J. Intell. Mater. Syst. Struct. 15 689-709
17. Ramirez F, Heyliger P R and Pan E 2006 Discrete layer solution to free vibrations of functionally graded magneto-electro-elastic plates Mech. Adv. Mater. Struct. 13 249-66
18. Annigeri A R, Ganesan N and Swarnamani S 2006 Free vibrations of simply supported layered and multiphase magneto-electro-elastic cylindrical shells Smart Mater. Struct. 15 459-67
19. Bahar L Y 1972 Transfer matrix approach to layered systems ASCE J. Eng. Mech. Div. 98 1159-72
20. Bahar L Y 1975 A state space approach to elasticity J. Franklin Inst. 299 33-41
21. Benitez F G and Rosakis A J 1987 Three-dimensional elastostatics of a layer and layered medium J. Elast. 18 3-50
22. Bufler H 1971 Theory of elasticity of a multilayered medium J. Elast. 1 125-43
23. Wang J G and Fang S S 2001 The state vector solution of axisymmetric Biot's consolidation problems for multilayered poroelastic media Mech. Res. Commun. 28 671-7
24. Lee J S and Jiang L Z 1996 Exact electroelastic analysis of piezoelectric laminate via state space approach Int. J. Solids Struct. 33 977-90
25. Sosa H and Castro M 1993 Electroelastic analysis of piezoelectric laminated structures Appl. Mech. Rev. 46 S21-8
26. Wang J G 1999 State vector solutions for nonaxisymmetric problem of multilayered half space piezoelectric medium Sci. China A 42 1323-31
27. Wang J G, Fang S S and Chen L F 2002 The state vector methods for space axisymmetric problems for multilayered piezoelectric media Int. J. Solids Struct. 39 3959-70
28. Wang J G, Chen L F and Fang S S 2003 State vector approach to analysis of multilayered magneto-electro-elastic plates Int. J. Solids Struct. 40 1669-80
29. Chen J, Chen H, Pan E and Heyliger P R 2007 Modal analysis of magneto-electro-elastic plates using the state-vector approach J. Sound Vib. 304 722-34
30. Bronson R 1994 Differential Equations 2nd edn (New York: McGraw-Hill)