Abstract
The magnetoelastic problem for a transversely isotropic ferromagnetic body with a parabolic crack in the plane of isotropy is solved explicitly. The body is in an external magnetic field, which is perpendicular to the plane of isotropy. The field induces elastic strains and a magnetic field in the body. The characteristics of the stress–strain distribution and induced magnetic field are determined; and their singularities in the neighborhood of the crack are analyzed. Formulas for the stress intensity factors of the mechanical and magnetic fields near the crack tip are presented
Similar content being viewed by others
REFERENCES
D. D. Asanyan, A. A. Aslanyan, and G. E. Bagdasaryan, “On concentration of elastic stresses and induced magnetic field near a crack in an external magnetic field,” Izv. AN Arm. SSR, No. 2, 15-24 (1988).
D. D. Asanyan and G. E. Bagdasaryan, “Stress-strain distribution in a magnetoelastic layer with a crack in an external magnetic field,” Izv. RAN, Mekh. Tverd. Tela, No. 4, 61-68 (1997).
V. V. Panasyuk, E. A. Andreikiv, and V. Z. Parton, Fundamentals of Fracture Mechanics, Vol. 1 of the four volume manual Fracture Mechanics and Strength of Materials [in Russian], Naukova Dumka, Kiev (1988).
Yu. N. Podilchuk, “Stress of soft ferromagnetic with a parabolic crack in a homogeneous magnetic field,” Teor. Prikl. Mekh., 31, 3-14 (2000).
S. Chikazumi, Physics of Ferromagnetism. Magnetic Characteristics and Practical Applications [Russian translation], Mir, Moscow (1987).
Y.-H. Pao and C.-S. Yeh, “A linear theory for soft ferromagnetic elastic solids,” Int. J. Eng. Sci., 11, 415-435 (1973).
Yu. N. Podil'chuk, “The stress state of a ferromagnetic with an elliptic crack in a homogeneous magnetic field,” Int. Appl. Mech., 37, No.2, 213-221 (2001).
Yu. N. Podil'chuk, “The stress state of a ferromagnetic with a spheroidal inclusion in a homogeneous magnetic field,” Int. Appl. Mech., 38, No. 10, 1201-1209 (2002).
Yu. N. Podil'chuk and L. N. Tereshchenko, “A magnetoelastic field in a ferromagnetic medium with a spherical cavity,” Int. Appl. Mech., 37, No. 3, 352-360 (2001).
Yu. N. Podil'chuk and L. N. Tereshchenko, “A magnetoelastic field in a ferromagnetic with an elliptic inclusion,” Int. Appl. Mech., 38, No. 5, 585-593 (2002).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Podil'chuk, Y.N., Podil'chuk, I.Y. The Stress State of a Transversely Isotropic Ferromagnetic with a Parabolic Crack in a Homogeneous Magnetic Field. International Applied Mechanics 39, 935–944 (2003). https://doi.org/10.1023/A:1027412731888
Issue Date:
DOI: https://doi.org/10.1023/A:1027412731888