Abstract
Method of Westergaard stress functions is applied to analyze the stress distribution around two-dimensional mode I crack in elastoplastic material. The Leonov-Panasyuk-Dugdale model is employed. It is shown that under certain loading conditions, the plastic zone location calculated using commonly accepted criteria of plasticity is inconsistent with initial assumption of thin rectilinear plastic strips. This inconsistency is removed when we assume a linear softening stress-displacement behavior in the plastic zone.
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Chernyakov, Y., Grychanyuk, V. Observations on plastic strain localization in leonov-panasyuk-dugdale crack model. Int J Fract 119, L21–L26 (2003). https://doi.org/10.1023/A:1023937628277
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DOI: https://doi.org/10.1023/A:1023937628277