Affordable Access

Publisher Website

Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticity

Authors
Journal
International Journal of Non-Linear Mechanics
0020-7462
Publisher
Elsevier
Publication Date
Volume
36
Issue
4
Identifiers
DOI: 10.1016/s0020-7462(00)00033-0
Keywords
  • Plasticity
  • Causality
  • Controllability
  • Minkowski Spacetime
  • Lorentz Group
  • Two Basic Principles
Disciplines
  • Medicine
  • Physics

Abstract

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 PSO o (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.

There are no comments yet on this publication. Be the first to share your thoughts.