On magnetoelastic problems of a plane with an arbitrarily shaped hole under stress and displacement boundary conditions

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 60, Issue 4, 2007, Pages 423-442

  Hasebe, N ^a   Wang, X F ^a   Nakanishi, H ^a  

^a NAGOYA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MAGNETIC FIELDS; NUMERICAL METHODS; STRESS CONCENTRATION; STRESS INTENSITY FACTORS;

MAGNETOELASTICITY; SHAPED HOLE; STATIC PLANE;

ELASTICITY;

EID: 36348963071     PISSN: 00335614     EISSN: 14643855     Source Type: Journal    
DOI: 10.1093/qjmam/hbm018     Document Type: Article

References (29)

1. G. A. Maugin, Continuum Mechanics of Electromagnetic Solid (Elsevier North Holland, Amsterdam 1988).
2. Y. H. Pao and C. S. Yeh, A linear theory for soft ferromagnetic elastic solids, Int. J. Engng Sci. 11 (1973) 415-436.
3. Y. Shindo, The linear magnetoelastic problem for a soft ferromagnetic elastic solid with a finite crack, J. Appl. Mech. 44 (1977) 47-50.
4. Y. Shindo, Magnetoelastic interaction of a soft ferromagnetic elastic solid with a penny-shaped crack in a constant axial magnetic field, ibid. 45 (1978) 291-296.
5. G. Y. Bagdasarian and D. J. Hasanian, Magnetoelastic interaction between a soft ferromagnetic elastic half-plane with a crack and a constant magnetic field, Int. J. Solids Struct. 37 (2000) 5371-5383.
6. W. Liang, Y. P. Shen and M. Zhao, Magnetoelastic formulation of soft ferromagnetic elastic problems with collinear cracks: Energy density fracture criterion, Theor Appl. Fract. Mech. 34 (2000) 49-60.
7. C. B. Lin and C. S. Yeh, The magnetoelastic problem of a crack in a soft ferromagnetic solid, Int. J. Solids Struct. 39 (2002) 1-17.
8. D. V. Wallerstein and M. O. Peach, Magnetoelastic buckling of beams and thin plates of magnetically soft materials, J. Appl. Mech. 39 (1972) 451-455.
9. F. C. Moon and Y.-H. Pao, Magnetoelastic buckling of a thin plate, ibid. 35 (1968) 53-58.
10. F. C. Moon, Magneto-Solid Mechanics (John Wiley, New York 1984).
11. F. C. Moon, Problems in magneto-solid mechanics, Mechanics Today, vol. 4 (ed. S. Nemat-Nasser; Pergamon, New York 1978) 307-390.
12. Y. H. Pao, Electromagnetic forces in deformable continua, Mechanics Today, vol. 4 (ed. S. Nemat-Nasser; Pergamon, New York 1978) 209-305.
13. G. Paria, Magneto-elasticity and magneto-thermo-elasticity, Adv. Appl. Mech. 10 (1967) 73-112.
14. A. C. Eringen and G. A. Maugin, Electrodynamics of Continua, vol. 1 (Springer, New York 1990).
15. A. C. Eringen and G. A. Maugin, Electrodynamics of Continua, vol. 2 (Springer, New York 1990).
16. M. Sabir and G. A. Maugin, On the fracture of paramagnets and soft ferromagnets, Int. J. Non-Linear Mech. 31 (1996) 425-440.
17. Y. Shindo and S. Tohyama, Scattering of oblique flexural waves by a through crack in a conducting mindlin plate in a uniform magnetic field, ibid. 35 (1998) 2183-2203.
18. J. X. Xu and N. Hasebe, The stress in the neighborhood of a crack tip under effects of electromagnetic forces, Int. J. Fracture 73 (1995) 287-300.
19. N. Hasebe, X. F. Wang and H. Nakanishi, Analysis of magneto-elastic problem for infinite plate containing cracked hole, Developments in Fracture Mechanics for the New Century (ed. K. Kishimoto, S. Kubo, T. Nakamura & T. Sakagami; The Society of Materials Science, Japan 2001) 73-78.
20. W. F. Brown, Magnetoelastic Interactions (Springer, Berlin 1966).
21. N. Hasebe and S. Inohara, Stress analysis of a semi-infinite plate with an oblique edge crack, Ingen. Arch. 49 (1980) 51-62.
22. K. Yoshikawa and N. Hasebe, Green's function for a heat source in an infinite region with an arbitrary shaped hole, J. Appl. Mech. 66 (1999) 204-210.
23. N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity (Noordhoff, Groningen 1963).
24. N. Hasebe, Uniform tension of a semi-infinite plate with a crack at an end of a stiffened edge, Ingen. Arch. 48 (1979) 129-141.
25. N. Hasebe and T. Takeuchi, Stress analysis of a semi-infinite plate with thin rigid body, Int. J. Engng Sci. 23 (1985) 531-539.
26. N. Hasebe and M. Ueda, Crack originating from a corner of a square hole, Engng Fracture Mech. 13 (1980) 913-923.
27. N. Hasebe, L. M. Keer and S. Nemat-Nasser, Stress analysis of a kinked crack initiating from a rigid line inclusion, part I: Formulation, Mech. Mater. 3 (1984) 131-145.
28. N. Hasebe, K. Yoshikawa, M. Ueda and T. Nakamura, Plane elastic solution for the second mixed boundary value problem and its application, Arch. Appl. Mech. 64 (1994) 295-306.
29. N. Hasebe and Y. Z. Chen, Stress intensity solution for the interaction between a hole edge crack and a line crack, Int. J. Fracture 77 (1996) 351-366.