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Limit, shakedown and ratchet analyses of defective pipeline under internal pressure and cyclic thermal loading

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Figure

Fig.1 The geometry of a pipeline with part-through slot subjected to internal pressure and cyclic thermal load
Fig. 2 The finite element mesh for a pipeline with part-through slot:
Fig. 5 ABAQUS verification using step by step analysis for: (a) the shakedown and ratchet limit and (b) reverse plasticity and ratchet limit (c) reverse plasticity limit “AB”
Fig.7 shows that the reverse plasticity limit decreases when
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