Abstract
Direct and inverse problems of reconstructing the shape of melting channel from the parameters of secondary penetrating bremsstrahlung X-ray radiation are posed. The inverse problem is shown to be reducible to solving an integral convolution-type equation and, in general case, Hadamard well-posed in the entire range of electron-beam welding (EBW) modes. The shape of melting channel is reconstructed based on the known theorem on the Fourier image of convolution.
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Original Russian Text © D.N. Trushnikov, L.N. Krotov, E.L. Krotova, N.A. Musikhin, 2016, published in Defektoskopiya, 2016, No. 10, pp. 34–41.
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Trushnikov, D.N., Krotov, L.N., Krotova, E.L. et al. Reconstructing the melting channel shape in electron-beam welding from the parameters of penetrating X-ray radiation. Part I. Posing inverse geometrical problem. Russ J Nondestruct Test 52, 576–582 (2016). https://doi.org/10.1134/S1061830916100107
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DOI: https://doi.org/10.1134/S1061830916100107