Application of the multiplicative dimensional reduction method (M-DRM) to a probabilistic fracture mechanics problem Raimbault, Jeremie P.; Walbridge, Scott; Pandey, Mahesh
This paper compares the results from a Monte Carlo simulation (MCS) of crack propagation in cyclically loaded as-received and impact treated welds to similar results obtained using the much more computationally efficient multiplicative dimensional reduction method (M-DRM). The basis of both analyses is a 17-variable strain-based fracture mechanics (SBFM) model, which considers nonlinear material effects as the crack propagates over time. One of the challenges in applying M-DRM to this problem is that difficulties arise as the constant amplitude fatigue limit (CAFL) is approached. A practical approach for dealing with this situation is discussed. In the presented results, it is shown that M-DRM is a viable tool for probabilistic fatigue analysis, producing in normal situations results within a percent of those obtained using MCS in a fraction of the computation time.
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