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This monograph presents a new strain based probabilistic fracture mechanics approach for large plastic deformation analysis of through wall cracked pipes subject to an external bending load in combination with internal pressure (biaxial loading). Strainbased fracture mechanics equations, including the effects of biaxial loading have been presented to study the behavior of through wall cracked pipes.High Dimensional Model Representation concepts are explored to approximate the original implicit limit state/performance function in terms of crack length, internal pressure and material hardening. Subsequently the failure probability is obtained by performing Monte Carlo simulation.In addition, studies on offcenter through wall cracked pipes have been carried out, to observe the effect of offcenter angle on fracture response and failure probability.The study well emphasized the capacity of the offcentered cracked pipes in comparison with the symmetrically centered cracked pipe.Finally, an alternate procedure for Jestimation is proposed using reference strain formulations for assessing the fracture response of the through wall cracked pipes subjected to biaxial loading.
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