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An efficient complex variable technique for the boundary element solution of stress concentration problems arising in notched creeping metallic structural components

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Abstract

The present paper presents, for the first time, a direct formulation of the boundary element method using complex variable theory techniques for the solution of the inelastic stress concentration problem arising in V-notched creeping metallic structural components in the presence of high temperature gradients. The application of this method is illustrated by obtaining stress and strain components distribution fo specimens with a single edge notch subjected to tension and bending loading conditions. The stress-strain constitutive relations are assumed to be described by an internal state variable viscoplastic model. Numerical examples presented and solved by the proposed methodology are further compared with other numerical solutions obtained for different loading rates.

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Providakis, C.P. An efficient complex variable technique for the boundary element solution of stress concentration problems arising in notched creeping metallic structural components. Int J Fract 119, 125–144 (2003). https://doi.org/10.1023/A:1023960919481

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