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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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9.7 BRIDGE 12: MACROSCALE CONTINUUM MODEL TO THE STRUCTURAL SCALE SIMULATION OF THE SHEET FORMING PROBLEM

Now that the macroscale constitutive model has been calibrated with lower length analyses, it can be used within finite element analysis to solve a boundary value problem for pure aluminum as illustrated in Figure 9.18. It should be recognized that up to this time, macroscale constitutive model calibration has always been accomplished by using physical experiments. In this chapter, we are introducing the paradigm that the ICME tools can provide this information without an experiment. Although experiments were used to validate the process, clearly they were not necessary. Given this background, the sheet forming problem is now ready to be solved.

Figure 9.18 Schematic of Bridge 12 between the mesoscale macroscale continuum internal state variable theory and associated downscaling requirements and upscaling results to/from the structural scale finite element simulations.

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Figure 9.19 shows the steps in conducting the sheet forming process. Here, the sheet is designated as the blank. The blank is held between the die and the blank holder. Once the blank sheet is held in place by the blank holder and die, the punch then moves down to form the sheet into the die. The blank holder and die are held fixed, but the moving punch provides the forces onto the blank aluminum sheet. This ...

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