Magnetoelastic fracture of soft ferromagnetic materials

Theoretical and Applied Fracture Mechanics

Volumn 42, Issue 3, 2004, Pages 317-334

  Fang, D N ^a   Wan, Y P ^a   Soh, A K ^b  

^a TSINGHUA UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

An elliptical crack; Fracture toughness; Magnetoelastic; Magnetostriction; Small scale magnetic yielding

Indexed keywords

CERAMIC MATERIALS; CRACKS; ELASTICITY; FERROMAGNETIC MATERIALS; FRACTURE TOUGHNESS; INDENTATION; MAGNETIC FIELD EFFECTS; MAGNETIZATION; MAGNETOSTRICTION; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; SOFT MAGNETIC MATERIALS;

MAGNETOELASTIC FRACTURE; MAGNETOELASTICITY; SINGLE-EDGE-NOTCH-BEAM (SENB); SOFT FERROMAGNETIC MATERIALS;

FRACTURE MECHANICS;

CRACK PROPAGATION; ELASTICITY; FRACTURE MECHANICS; MAGNETIC SOLID;

EID: 10244235318     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2004.09.006     Document Type: Article

References (46)

1. W.F. Brown Jr. Magnetoelastic Interactions 1966 Springer New York
2. Y.H. Pao Electromagnetic force in deformable continua Nemat-Nasser Mechanics Today 1978 Pergamon Press Bath
3. A.C. Eringen Mechanics of Continua second ed. 1980 Krieger Publishing New York
4. F.C. Moon Magneto-Solid Mechanics 1984 John Wiley and Sons New York
5. G.A. Maugin Continuum Mechanics of Electromagnetic Solid 1988 North-Holland Amsterdam
6. A.C. Eringen G.A. Maugin Electrodynamics of Continua vols. 1-2 1989 Springer-Verlag New York
7. F.C. Moon Y.H. Pao Magnetoelastic buckling of a thin plate J. Appl. Mech. 35 1968 53-58
8. Y.H. Pao C.S. Yeh A linear theory for soft ferromagnetic elastic solids Int. J. Engng. Sci. 11 1973 415-436
9. A.C. Eringen Theory of electromagnetic elastic plates Int. J. Engng. Sci. 27 1989 363-375
10. A.A.F. Van de Ven Magnetoelastic buckling of a beam of elliptic cross section Acta Mech. 51 1984 119-183
11. P.H. Lieshout P.M. Rongen V. Ven Variational principle for magnetoelastic buckling J. Engng. Math. 211 1987 227-252
12. Y.H. Zhou X.J. Zheng A general expression of magnetic force for soft ferromagnetic plates in complex magnetic fields Int. J. Engng. Sci. 35 1997 1405-1417
13. W. Yang H. Pan D. Zheng Q. Cai An energy method for analyzing magnetoelastic buckling and bending of ferromagnetic plate in static magnetic fields J. Appl. Mech. 66 1999 913-917
14. M.K. Takagi Y. Ando Finite element analysis of magnetoelastic buckling of ferromagnetic beam plate J. Appl. Mech. 45 1978 335-360
15. D.M. Clatterbuck J.W. Chan J.W. Morris Jr. The influence of a magnetic field on the fracture toughness of ferromagnetic steel Mater. Trans., JIM 41 2000 888-892
16. Y. Shindo The linear magnetoelastic problem for a soft ferromagnetic elastic solid with a finite crack Trans. ASME, J. Appl. Mech. 53 1977 47-50
17. Y. Shindo Magnetoelastic interaction of a soft ferromagnetic elastic solids with a penny shape crack in a constant axial magnetic field J. Appl. Mech. 54 1978 291-296
18. Y. Shindo Singular stress in a soft ferromagnetic elastic solid with two coplanar Griffith cracks Int. J. Solid Struct. 46 1980 537-543
19. Y. Shindo I. Ohnishi S. Tohyama Flexural wave scattering at a through crack in a conducting plate under a uniform magnetic field ASME J. Appl. Mech. 64 1997 828-834
20. Y. Shindo S. Tohyama Scattering oblique flexural waves by a through crack in a conducting Mindlin plate in a uniform magnetic field Int. J. Solid Struct. 35 1998 2183-2203
21. Y. Shindo K. Horiguchi T. Shindo Magneto-elastic analysis of a soft ferromagnetic plate with a through crack under bending Int. J. Engng. Sci. 37 1999 687-702
22. W.T. Ang Magnetic stress in an anisotropic soft ferromagnetic material with a crack Int J. Engng. Sci. 27 1989 1519-1526
23. C.S. Yeh Magnetic fields generated by a mechanical singularity in a magnetized elastic half plane ASME J. Appl. Mech. 56 1989 89-95
24. K.F. Hang M.Z. Wang Complete solution of the linear magnetoelasticity of the magnetic half space ASME J. Appl. Mech. 62 1995 930-934
25. J.X. Xu N. Hasebe Stresses in the neighborhood of a crack tip under effects of electromagnetic forces Int. J. Fract. 73 1995 287-300
26. M. Sabir G.A. Maugin On the fracture of paramagnets and soft ferromagnets Int. J. Non-Linear Mech. 31 1996 425-440
27. A. Fomethe G.A. Maugin On the crack mechanics of hard ferromagnets Int. J. Non-Linear Mech. 33 1997 85-95
28. W. Liang Y.P. Shen Magnetoelastic formulation of soft ferromagnetic elastic problems with collinear cracks: Energy density fracture criterion Theor. Appl. Fract. Mech. 34 2000 49-60
29. G.Y. Bagdasarian D.J. Hasanian Magnetoelastic interaction between a soft ferromagnetic elastic half-plane with a crack and a constant magnetic field Int. J. Solid Struct. 37 2000 5371-5383
30. 2 compounds E.P. Wohlfarth (Ed.) Ferromagnetic Materials vol. 1 1980 North-Holland Publishing Company
31. Y.P. Wan D.N. Fang A.K. Soh Effects of magnetic field on fracture toughness of manganese-zinc ferrite ceramics Mod. Phys. Lett. B 17 2003 57-66
32. B. Gross, J.E. Scrawley, NASA TND-2603 and D-3092, 1965
33. J.E. Scrawley Wide range stress intensity factor expressions for ASTM E 399 standard fracture toughness specimens Int. J. Fract. 12 1976 475-480
34. G.R. Anstis P. Chantikul B.R. Lawn D.B. Marshall A critical evaluation of indentation technologies for measuring fracture toughness: I, direct crack measurements J. Am. Ceram. Soc. 64 1981 533-538
35. Y.P. Wan D.N. Fang K.Ch. Hwang Nonlinear constitutive relations for the magnetostrictive materials Int. J. Non-Linear Mech. 38 2003 1053-1065
36. V. Karapetoff The Magnetic Circuit 1911 McGraw-Hill Book Co. Inc. New York
37. J.B. Zhou B.T. Liu S.M. Cui P. Zheng Magnetic Circuit and Magnetic Field 1998 Press of Harbin University of technology Harbin (in Chinese)
38. R.Q. Lin Y.M. Zhou Principles on Design of Magnetic Circuit 1987 Press of Mechanical Industry Beijing (in Chinese)
39. A.N. Stroh Dislocations and cracks in anisotropic elasticity Philos. Mag. 3 1958 625-646
40. R.J. Knops Two-dimensional electrostriction Quart. J. Mech. Appl. Math. 16 1963 377-388
41. T.E. Smith W.E. Warren Some problems in two-dimensional electrostriction J. Math. Phys. 45 1966 45-51
42. Y.P. Wan D.N. Fang A.K. Soh K.C. Hwang Effect of magnetostriction on fracture of a soft ferromagnetic medium with a crack-like flaw Fatig. Fract. Engng. Mater. Struct. 26 2003 1091-1102
43. G.C. Sih Mechanics of Fracture Initiation and Propagation: Surface and Volume Energy Density Applied as Failure Criterion 1991 Kluwer Academic Boston
44. Y.P. Wan, Study on the constitutive relation and fracture behavior of the magnetostrictive materials, Ph.D. dissertation, Dep. Egn. Mech., Tsinghua Univ., Beijing, 2002
45. E.K. Heinz Magnetic Fields: A Comprehensive Theoretical Treatise for Practical Use 2000 Wiley New York
46. H. Tada P.C. Paris G.R. Irwin The Stress Analysis of Cracks Handbook 1985 Del Research St. Louis, MO