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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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7.8 BRIDGE 10: MACROSCALE MATERIAL MODEL: CONNECTIONS TO THE MACROSCALE FINITE ELEMENT SIMULATIONS

Although some integration between different computational material tools have been shown already in this case study about the A356 Al alloy control arm, the most important integration is into the macroscale constitutive model. As discussed in Chapter 2, the ISV theory is an excellent repository to receive lower length information. ISV theory also was developed as a continuum formulation and as such can be incorporated into finite element codes. It is essentially the bridge from microstructural information to stress and failure analysis in the context of a hierarchical multiscale modeling methodology. Figure 7.60 shows the connections between the different length scales and the macroscale ISV continuum model.

Figure 7.60 Schematic of macroscale constitutive internal state variable (ISV) model and the associated upscaling/downscaling with the bridges between the various length scales illustrating the hierarchical multiscale modeling methodology for plasticity and damage.

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7.8.1 Summary of Bridge Information from the Lower Length Scales into the Macroscale Continuum Model

Before we proceed with the macroscale model discussion, it is worth reminding ourselves of the connections with the lower length scales that were of interest in this case study:

Bridge 5: Elastic moduli λ and μ to ...

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