Author(s): Robert S. Pritchard
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Keywords: No Keywords
Abstract: To learn if a model is stable, all parts of the model must be studied; its momentum equation and constitutive laws. Thus, model stability requires more than a constitutive law that dissipates energy during all deformations. To study the model behavior, small perturbations to the model solutions are analyzed. The perturbation equations are solved using normal modes of motion. Models are stable if the modes decay and unstable if modes grow. A growing mode can generate spurious motions from small initial perturbations. Behavior of dynamic and quasi-steady, isotropic elastic-plastic (EP) and viscous-plastic (VP) models are described. The method can be generalized to study anisotropic elastic-plastic and viscous-plastic models or elastic-viscous-plastic (EVP) models.
Year: 2002