The shakedown problem of elastoplastic structures with cracks is examined. The proposed method consists in a two-step procedure including a global analysis and a local analysis. The former considers the shakedown behavior of the structure in aglobal sense by adopting the classical shakedown theory without cracks being considered, whereas the latter determines the local shakedown behavior within local regions near the cracks in terms of stress intensity factor. This scheme may be extended tomore general cases including strain-hardening, geometric, damage, dynamic and thermal effects.
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