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Integrated Computational Materials Engineering (ICME) for Metals: Using Multiscale Modeling to Invigorate Engineering Design with Science by Mark F. Horstemeyer

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8.3 MACROSCALE MSF MODELING BRIDGES (UPSCALING AND DOWNSCALING)

The MSF model, which is used as either a material point simulator or a postprocessor for a finite element simulation, was developed from a multiscale modeling methodology in which the following parameters and entities can be determined from subscale simulations:

Bridge 7: The coefficient X for the MSC growth rule in Equation 8.9 can be determined using nanoscale atomistic simulations.
Bridge 9: Nonlocal plasticity limit ηlim for Cinc in the incubation model in Equation 8.7 can be determined using mesoscale finite element simulations.
Bridge 8: Threshold value that could be the Burgers vector for the CDTth in Equation 8.9 using microscale dislocation dynamics simulations.
Bridge 10: Length scale barrier for dislocations GS/GS0 in Equation 8.10 for the MSC growth rule using mesoscale finite element simulations.
Bridge 10: Texture effects related to the Schmid factor GO/GO0 in Equation 8.10 for the MSC growth rule using mesoscale finite element simulations.

Similar to the control arm case study when considering the monotonic loads, multiscale aspects were needed in this MSF model, where the bridges needed to be defined first as per Figure 8.1 for parameters and entities for the crack incubation and MSC regimes.

Figure 8.1 The multiscale bridges that were defined for the downscaling requirements and the associated upscaling simulation results for the multistage fatigue (MSF) model. One can see that the different ...

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