Dynamic response function for movable cellular automata derived on the basis of a gauge model of the uniformly deformed material with defects

M. A. Chertov, N. V. Chertova, Yu V. Grinyaev, A. Yu Smolin, S. G. Psakhie

Research output: Contribution to journalArticle

Abstract

In the paper we discuss the construction, method of realization, and approval of a new dynamic response function for movable cellular automata, which depends on loading velocity. The proposed method is based on analytical relations obtained in analyzing a dynamic model of the uniformly deformed material with defects, which is developed within the gauge theory with consideration for energy dissipation and defect self-action. The response function is realized numerically by introducing the time dependence that determines the transition from the elastic to the plastic domain with an increase in yield stress as strain rate rises. The response function is approved using uniaxial loading simulation.

Original languageEnglish
Pages (from-to)59-67
Number of pages9
JournalFizicheskaya Mezomekhanika
Volume8
Issue number4
Publication statusPublished - 2005
Externally publishedYes

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cellular automata
dynamic response
defects
dynamic models
strain rate
time dependence
gauge theory
plastics
energy dissipation
simulation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Atomic and Molecular Physics, and Optics

Cite this

Dynamic response function for movable cellular automata derived on the basis of a gauge model of the uniformly deformed material with defects. / Chertov, M. A.; Chertova, N. V.; Grinyaev, Yu V.; Smolin, A. Yu; Psakhie, S. G.

In: Fizicheskaya Mezomekhanika, Vol. 8, No. 4, 2005, p. 59-67.

Research output: Contribution to journalArticle

Chertov, M. A. ; Chertova, N. V. ; Grinyaev, Yu V. ; Smolin, A. Yu ; Psakhie, S. G. / Dynamic response function for movable cellular automata derived on the basis of a gauge model of the uniformly deformed material with defects. In: Fizicheskaya Mezomekhanika. 2005 ; Vol. 8, No. 4. pp. 59-67.
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