Summary
The paper deals with a study of the mean stress field (σM) and its gradient (δσM/δx) in uniaxially loaded two-dimensional models of small thickness with respect to other dimensions, in which two inhomogeneities, e.g., a circular opening and a linear slit have been made. Particular attention was paid to the stress field development in the treated models durin gthe change of the mutual geometric configuration of both the inhomogeneities in question. The problem was analysed theoretically by means of Muskhelishvili's potentials of the two-dimensional theory of elasticity. To compare the results of calculations, the schlieren method was used to visualize and record the studied gradients of stress fields in physical models. The results of the calculations were calibrated by laboratory tests. In this way the individual model situations were classified from the point of view of their resistance to the applied load.
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Niewiadomski, J., Gòrski, M. & Kozák, J. Tensional crack development in physical models with inhomogeneities under load. Stud Geophys Geod 24, 373–381 (1980). https://doi.org/10.1007/BF01629396
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DOI: https://doi.org/10.1007/BF01629396