The chess-board effect in the stress-strain distribution at interfaces of a loaded solid

V. E. Panin, A. V. Panin, D. D. Moiseenko, T. F. Elsukova, O. Yu Kuzina, P. V. Maksimov

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The chess-board effect in the stress-strain distribution at the interface between the surface layer and the bulk material is analyzed. The process of deformation of a solid is considered a result of the redistribution of the incoming energy over elementary mesoscopic-scale volumes of a loaded sample. Due to the stochastic distribution of the stress concentrators at the mesoscopic-scale level in the actual medium, the value of the internal thermal energy of an automate is given randomly at the zero step of the algorithm. Each of the automate states corresponds to a certain energy interval with illegible boundaries. The values of both the thermal energy and the work spent for the variation of the volume and shape for each element of the medium are known at each time step of the algorithm. The theory predicts that if the consistency condition at the interface of two diverse media is valid, then the interface should possess a multilevel hierarchic structure and this structure is observed in introduced material zones of surface layer of titanium saturated with hydrogen.

Original languageEnglish
Pages (from-to)408-411
Number of pages4
JournalDoklady Physics
Volume51
Issue number8
DOIs
Publication statusPublished - 1 Aug 2006

Fingerprint

strain distribution
Thermal energy
thermal energy
surface layers
Titanium
concentrators
Hydrogen
titanium
intervals
energy
hydrogen

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)

Cite this

Panin, V. E., Panin, A. V., Moiseenko, D. D., Elsukova, T. F., Kuzina, O. Y., & Maksimov, P. V. (2006). The chess-board effect in the stress-strain distribution at interfaces of a loaded solid. Doklady Physics, 51(8), 408-411. https://doi.org/10.1134/S1028335806080040

The chess-board effect in the stress-strain distribution at interfaces of a loaded solid. / Panin, V. E.; Panin, A. V.; Moiseenko, D. D.; Elsukova, T. F.; Kuzina, O. Yu; Maksimov, P. V.

In: Doklady Physics, Vol. 51, No. 8, 01.08.2006, p. 408-411.

Research output: Contribution to journalArticle

Panin, VE, Panin, AV, Moiseenko, DD, Elsukova, TF, Kuzina, OY & Maksimov, PV 2006, 'The chess-board effect in the stress-strain distribution at interfaces of a loaded solid', Doklady Physics, vol. 51, no. 8, pp. 408-411. https://doi.org/10.1134/S1028335806080040
Panin, V. E. ; Panin, A. V. ; Moiseenko, D. D. ; Elsukova, T. F. ; Kuzina, O. Yu ; Maksimov, P. V. / The chess-board effect in the stress-strain distribution at interfaces of a loaded solid. In: Doklady Physics. 2006 ; Vol. 51, No. 8. pp. 408-411.
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