Constitutive-operator smoothing by condensation (Q1323616)

An existing condensation model reduction theory is modified so as to perform degree-of-freedom elimination on the constitutive operators of semi-discrete system models while retaining system-response-prediction fidelity in those degrees-of-freedom that remain. For the important special case for which this process corresponds to homogenizing/smoothing of the constitutive behavior of deterministic, heterogeneous media, such as composites, the spatially-discrete version of the macroscale constitutive operator is fully and directly calculated from the given, spatially discrete microscale-constitutive and material-independent operators, the composition of which forms the spatially discrete system operator.