FULLY PLASTIC CRACK PROBLEMS IN BENDING AND TENSION.
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This paper considers a class of small strain, fully plastic crack problems for incompressible power law materials. Fully plastic crack solutions have been employed together with linear elastic solutions to produce relatively simple approximate formulas for quantities such as J and the crack-opening displacement which interpolate over the range from small-scale yielding to large-scale yielding. Recently such interpolation formulas have been used in the investigation of the stability of small amounts of crack growth under J-controlled growth conditions which may involve large-scale plastic yielding. These interpolation methods are in need of further development, but they hold out promise for reasonably accurate, simple estimates of quantities of interest in crack problems involving moderate to large amounts of plastic yielding.