In this paper we construct a mathematical model and obtain an approximate solution of the problem of the retardation of a crack by means of an electromagnetic field. We investigate the effect of current concentration at the crack tip when passing a current pulse through a metal plate. Also we determine electromagnetic, thermal, and elastic fields in the plate with a crack through which a direct current is passing.
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References
1.
Finkel'V.M., GolovninIu.I. and SletkovA.A., Collapse of a crack tip under the action of a strong electromagnetic field, Dokl. Akad. Nauk SSSR237 (1977).
2.
Finkel'V.M., GolovninIu.I. and SletkovA.A., On the possibility of retarding fast crack by current impulses, Dokl. Akad. Nauk SSSR227 (1976).
3.
TaniJ., OhtomoK., TerakiJ. and SugayaS., Transient response of a thin plate in a uniform magnetic field due to impulsive currents. Electromagnemechanical interactions in deformable solids and structures, Proc. IUTAM Symp., eds.YamamotoY. and MiyaK. (1986).
4.
TaniJ., MinagawaM. and OhtomoK., Dynamic Behavior of flawed thin plates under time-varying magnetic field, Appl. Electromagn. Mater. (1988).
5.
PartonV.Z., Mechanical, electric and magnetic fields in bodies with cuts, electromagnetic force and applications, Proc. of the Third Int. ISEM Symp., eds.TaniJ. and TakagiT. (1992).
6.
PartonV.Z. and KydryavtsevB.A., Electromag-netoelasticity (Gordon and Breach N.Y., London, 1988).
7.
KudriavtsevB.A., PartonV.Z. and RubinskiiB.D., Magneto-thermoelastic field in a body with a semi-infinite cut, Prikl. Matem. Mekhan.44 (1980) 916.
8.
GradshteinI.S. and RyzhikI.N., Tables of Integrals, Sums, Series and Products (Fizmatgiz, Moscow, 1963).
9.
BatemanH. and ErdelyiA., Tables of Integral Transforms (McGraw-Hill, New York, 1954).
10.
BatemanH. and ErdelyiA., Higher Transcendental Functions, Bessel Functions, Parabolic Cylinder Functions, Orthogonal Polynomials (McGraw-Hill, New York, 1955).
11.
Ia.PodstrigachS., KolianoIu.M., GromovykhV.I. and Lozben'V.L., Thermoelasticity of Bodies with Variable Heat Transfer Coefficients (Naukova Dumka, Kiev, 1974).
12.
PolozhiiG.N., Equations of Mathematical Physics (VysshaiaShkola, 1974) [See also the English translation, Book No. 11017 (Pergamon Press, 1965).
13.
NowackiW.Teoria Sprezystości. (Państwowe Wydawnictwo Naukowe, Warsaw, 1970).
