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On solving the cracked-beam problem by block method. (English) Zbl 1153.74039
Summary: An extremely accurate solution is obtained for the cracked-beam problem by one-block version of the block method (BM). The obtained numerical results demonstrate the exponential convergence of BM with respect to the number of quadrature nodes. A simple and high-accurate formula is given to compute the stress intensity factor. The comparisons with other high-accurate results in the literature have been carried out.
MSC:
74R10Brittle fracture
74K10Rods (beams, columns, shafts, arches, rings, etc.) in solid mechanics
74G70Stress concentrations, singularities
74S30Other numerical methods in solid mechanics