Author(s): Robert S. Pritchard
Linked Author(s):
Keywords: No Keywords
Abstract: Certain viscous-plastic (VP) models are unstable during all opening deformations and some closing deformations. Thus, their behavior is chaotic. Attention now turns to stability of elastic-plastic (EP) models, which are used less frequently, but are useful alternatives to VP models, especially for shorter-term simulations. The EP model is studied when behavior is elastic and when stress is on the tensile cutoff cone during opening deformations. To analyze stability, we introduce perturbations to solutions, linearize the perturbation equations, introduce modal solutions to the linear perturbation equations, and look for modes that grow. Modes that can grow are sensitive to initial conditions and are therefore chaotic. This analysis shows that the EP model is stable when stress is within or on the tensile cutoff cone.
Year: 2004