heal.abstract |
We examine below some stationary dynamic problems of magneto-elasticity for a piecewise-uniform and electro-conductive medium, which is placed in a magnetic field H→0. Under the combined influence of the mechanical and magnetic field induced (vortex) currents appear, which lead to the appearance of Lorenz body forces. The consideration of these forces gives a supplementary tensor - the Maxwell stresses tij, which contribute to make important corrections into the intensity of the body. We examine below the plane and anti-plane deformations of the medium, which contains stress concentrators such as cracks, openings or inclusions. Boundary-value problems are reduced to integral equations, which are solved numerically with the application of mechanical quadratures method. The aim of our investigation is the evaluation of the influence of the initial magnetic field, the orientation of the incident magneto-elastic wave with respect to the vector H→0, the configuration of the defect, the proximity of the border, the type and frequency of excitation to the stress intensity factors and concentration in the body. We actually investigate in pure form only the effects, connected with the currents appearing in the body. © Springer-Verlag Berlin Heidelberg 2007. |
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