Lorentz Group on Minkowski Spacetime for Construction of the Two Basic Principles of Plasticity
Resource
International Journal of Non-Linear Mechanics 36: 679-686
Journal
International Journal of
Journal Issue
Non-Linear
Pages
679-686
Date Issued
2001
Date
2001
Author(s)
Liu, Chein-Shan
Abstract
We show that a model of plasticity is a necessary consequence of the two basic principles: (1) causality in the truncated future cone of the Minkowski spacetime (or its generalization) of augmented states, and (2) controllability and non-generativity in a reachable, bounded space of states. To consider the symmetry switching between PSOo(n, 1) and SE(n) due to switching on and off the plasticity mechanism, the model is reconstructed as a dynamical system on a composite space, which results from a surgery on Minkowski spacetime.
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journal article
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