Fizika Tverdogo Tela
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Fizika Tverdogo Tela:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Fizika Tverdogo Tela, 2021, Volume 63, Issue 7, Pages 923–927
DOI: https://doi.org/10.21883/FTT.2021.07.51043.014 (Mi ftt8096) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mechanical properties, strength physics and plasticity

To the theory of formation of large cracks in brittle solids

Yu. A. Khona, P. V. Makarovab

a Institute of Strength Physics and Materials Science, Siberian Branch of the Russian Academy of Sciences, Tomsk, Russia
b Tomsk State University, Tomsk, Russia
Full-text PDF (116 kB) Citations (1)
DOI: https://doi.org/10.21883/FTT.2021.07.51043.014
Abstract: A model of the large cracks formation in brittle solids is formulated taking into account different space-time scales of crack accumulation during deformation. Within the framework of the phase field method, a system of two coupled nonlinear parabolic equations is obtained that describe the deformation of a loaded medium during crack initiation on two spatial and temporal scales. The conditions are found under which the uniform distribution of cracks becomes unstable. The development of instability is accompanied by the formation of large cracks.
Keywords: cracks, deformation, deformation modes, phase field, instability.
Funding agency Grant number
Russian Science Foundation 19-17-00122
This work is supported by the Russian Scientific Foundation, project no. 19-17-00122.
Received: 24.01.2021
Revised: 24.03.2021
Accepted: 24.03.2021
English version:
Physics of the Solid State, 2021, Volume 63, Issue 7, Pages 1009–1013
DOI: https://doi.org/10.1134/S1063783421070106
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. A. Khon, P. V. Makarov, “To the theory of formation of large cracks in brittle solids”, Fizika Tverdogo Tela, 63:7 (2021), 923–927; Phys. Solid State, 63:7 (2021), 1009–1013
Citation in format AMSBIB
\Bibitem{KhoMak21}
\by Yu.~A.~Khon, P.~V.~Makarov
\paper To the theory of formation of large cracks in brittle solids
\jour Fizika Tverdogo Tela
\yr 2021
\vol 63
\issue 7
\pages 923--927
\mathnet{http://mi.mathnet.ru/ftt8096}
\crossref{https://doi.org/10.21883/FTT.2021.07.51043.014}
\elib{https://elibrary.ru/item.asp?id=46346442}
\transl
\jour Phys. Solid State
\yr 2021
\vol 63
\issue 7
\pages 1009--1013
\crossref{https://doi.org/10.1134/S1063783421070106}
Linking options:
  • https://www.mathnet.ru/eng/ftt8096
  • https://www.mathnet.ru/eng/ftt/v63/i7/p923
    • This publication is cited in the following 1 articles:
    1. V. V. Shevelev, “Prediction of durability of a fiber bundle under uniaxial tension on the basis of the thermal fluctuation model of their brittle destruction”, J. Appl. Mech. Tech. Phys., 64:5 (2024), 902–910  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Fizika Tverdogo Tela Fizika Tverdogo Tela
    Statistics & downloads:
    Abstract page:82
    Full-text PDF :41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025