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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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7.2 MACROSCALE MICROSTRUCTURE–PROPERTY INTERNAL STATE VARIABLE (ISV) PLASTICITY–DAMAGE MODEL

Recall that the end goal of this case study was to conduct finite element simulations of the control arm with different length scales of heterogeneous inclusions/defects and microstructural features as illustrated in Figure 7.4. It is conceivable that if the multiscale modeling had already been validated and verified that no new experiments would be required. This is a good vision for the future use of ICME methodologies. However, up to now, experiments have been required to quantify the structure–property relationships and to develop the methodologies. In this section, we describe the macroscale continuum model, which includes the kinematics, damage progression equations, and the elastic–plastic framework. The motivations for the macroscale model equations described in this section are presented in this chapter but are elucidated in subsequent sections related to the different length scale analyses and associated bridging techniques.

Figure 7.4 Bridge 10 connecting the structural scale simulation of the control arm to the macroscale continuum model. Note the requirement from the higher scale was a material (constitutive) model.

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Standard notation is used throughout. Boldface symbols denote tensors, the orders of which are indicated by the context. All tensor components are written with ...

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