Abstract

The processes occurring in the metallic samples under the impact of electrical current of high density are considered. The electric and temperature fields and their influence on the phase transformation and stress-strain state in the vicinity of micro-defects in the form of plane cracks are studied. The quasi-stationary model of the impact of electromagnetic field on the pre-damaged elastic-plastic material with an ordered system defects are proposed. The model accounts for melting of the material and the dependence of its physical and mechanical properties on the temperature. The problem is solved by finite elements method with adaptive mesh using on the base of alternative Euler-Lagrange's method. Numerical modeling has shown, that in the vicinity of the micro-defects intensive electromagnetic field and current with large fields gradients are arise, which leads to intensive local heating and melting of the metal in the tips of the micro-cracks. This results in high compressive stresses in the vicinity of micro-cracks, intensive plastic flow of the material and, as a consequence, the clamping of micro-crack shores, decrease it length and the ejection of the molten material into the crack. As a result, micro-crack is completely healed. Keywords: electroplasticity, direct numerical modeling, defective material, electromagnetic field and temperature localization, phase transitions, melting.

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