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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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7.7 BRIDGE 9: MESOSCALE 2 FINITE ELEMENT SIMULATIONS (IDEALIZED POROSITY): CONNECTIONS TO THE MACROSCALE

Now that the void coalescence was modeled and analyzed from the realistic Mesoscale 1 simulations, these mesoscale FEA simulations can now be employed to more quantitatively determine the void coalescence between any type of void arising from any type of defect. As Figure 7.42 illustrates, Bridge 9 takes these Mesoscale 2 FEA results and incorporates the void coalescence notion into the macroscale void–void coalescence equation. The downscaling requirements from the macroscale were related to the definition of the void coalescence; hence, these Mesoscale 2 FEA results were used to help determine the important features for void interactions for this case study. Figure 7.42 illustrates the downscaling/upscaling bridge between the two length scales.

Figure 7.42 Bridge 9 between the Mesoscale 2 and macroscale levels related to void coalescence between voids.

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Figure 7.43 shows the upscaling per Bridge 4 in that the Mesoscale 1 simulation results gave insight into the void–void interactions. Figure 7.43 also schematically illustrates the connectivity of the void coalescence results to the macroscale from the Mesoscale 2 simulations.

Figure 7.43 Schematic of Mesoscale 2 finite element analysis (FEA) simulations and the associated upscaling/downscaling with the bridges between the ...

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