Multiscale approach to description of deformation and fracture of brittle media with hierarchical porous structure on the basis of movable cellular automaton method

Ig S. Konovalenko, A. Yu Smolin, S. G. Psakhie

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

An approach to multiscale description of deformation and fracture of brittle porous materials on the basis of movable cellular automaton method was proposed. The material characterized by pore size distribution function having two maxima was considered. The core of the proposed approach consists in finding the automaton effective response function by means of direct numerical simulation of representative volume of the porous material. A hierarchical two-scale model of mechanical behavior of ceramics under compression and shear loading was developed. Zirconia based ceramics with pore size greater than the average grain size was considered. At the first scale of the model only small pores (corresponding to the first maximum of the pore size distribution function) were taking into account explicitly (by removing automata from the initial structure). The representative volume and effective elastic properties of the porous material at this scale were evaluated. At the second scale of the model, big pores were taking into account explicitly, the parameters of the matrix corresponded to the ones determined at the first scale. Simulation results showed that the proposed multiscale model allows qualitatively and quantitatively correct describing of deformation and fracture of brittle material with hierarchical porous structure.

Original languageEnglish
Pages (from-to)75-80
Number of pages6
JournalFrattura ed Integrita Strutturale
Volume24
DOIs
Publication statusPublished - 2013

Fingerprint

Cellular automata
Pore size
Porous materials
Distribution functions
Direct numerical simulation
Brittleness
Zirconia

Keywords

  • 2D modeling
  • Brittle materials
  • Deformation and fracture
  • Particle-based approach, movable cellular automaton method
  • Porous ceramics

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

@article{61a9b14b42a2450aab568ce56278b7fa,
title = "Multiscale approach to description of deformation and fracture of brittle media with hierarchical porous structure on the basis of movable cellular automaton method",
abstract = "An approach to multiscale description of deformation and fracture of brittle porous materials on the basis of movable cellular automaton method was proposed. The material characterized by pore size distribution function having two maxima was considered. The core of the proposed approach consists in finding the automaton effective response function by means of direct numerical simulation of representative volume of the porous material. A hierarchical two-scale model of mechanical behavior of ceramics under compression and shear loading was developed. Zirconia based ceramics with pore size greater than the average grain size was considered. At the first scale of the model only small pores (corresponding to the first maximum of the pore size distribution function) were taking into account explicitly (by removing automata from the initial structure). The representative volume and effective elastic properties of the porous material at this scale were evaluated. At the second scale of the model, big pores were taking into account explicitly, the parameters of the matrix corresponded to the ones determined at the first scale. Simulation results showed that the proposed multiscale model allows qualitatively and quantitatively correct describing of deformation and fracture of brittle material with hierarchical porous structure.",
keywords = "2D modeling, Brittle materials, Deformation and fracture, Particle-based approach, movable cellular automaton method, Porous ceramics",
author = "Konovalenko, {Ig S.} and Smolin, {A. Yu} and Psakhie, {S. G.}",
year = "2013",
doi = "10.3221/IGF-ESIS.24.07",
language = "English",
volume = "24",
pages = "75--80",
journal = "Frattura ed Integrita Strutturale",
issn = "1971-8993",
publisher = "Gruppo Italiano Frattura",

}

TY - JOUR

T1 - Multiscale approach to description of deformation and fracture of brittle media with hierarchical porous structure on the basis of movable cellular automaton method

AU - Konovalenko, Ig S.

AU - Smolin, A. Yu

AU - Psakhie, S. G.

PY - 2013

Y1 - 2013

N2 - An approach to multiscale description of deformation and fracture of brittle porous materials on the basis of movable cellular automaton method was proposed. The material characterized by pore size distribution function having two maxima was considered. The core of the proposed approach consists in finding the automaton effective response function by means of direct numerical simulation of representative volume of the porous material. A hierarchical two-scale model of mechanical behavior of ceramics under compression and shear loading was developed. Zirconia based ceramics with pore size greater than the average grain size was considered. At the first scale of the model only small pores (corresponding to the first maximum of the pore size distribution function) were taking into account explicitly (by removing automata from the initial structure). The representative volume and effective elastic properties of the porous material at this scale were evaluated. At the second scale of the model, big pores were taking into account explicitly, the parameters of the matrix corresponded to the ones determined at the first scale. Simulation results showed that the proposed multiscale model allows qualitatively and quantitatively correct describing of deformation and fracture of brittle material with hierarchical porous structure.

AB - An approach to multiscale description of deformation and fracture of brittle porous materials on the basis of movable cellular automaton method was proposed. The material characterized by pore size distribution function having two maxima was considered. The core of the proposed approach consists in finding the automaton effective response function by means of direct numerical simulation of representative volume of the porous material. A hierarchical two-scale model of mechanical behavior of ceramics under compression and shear loading was developed. Zirconia based ceramics with pore size greater than the average grain size was considered. At the first scale of the model only small pores (corresponding to the first maximum of the pore size distribution function) were taking into account explicitly (by removing automata from the initial structure). The representative volume and effective elastic properties of the porous material at this scale were evaluated. At the second scale of the model, big pores were taking into account explicitly, the parameters of the matrix corresponded to the ones determined at the first scale. Simulation results showed that the proposed multiscale model allows qualitatively and quantitatively correct describing of deformation and fracture of brittle material with hierarchical porous structure.

KW - 2D modeling

KW - Brittle materials

KW - Deformation and fracture

KW - Particle-based approach, movable cellular automaton method

KW - Porous ceramics

UR - http://www.scopus.com/inward/record.url?scp=84875407280&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875407280&partnerID=8YFLogxK

U2 - 10.3221/IGF-ESIS.24.07

DO - 10.3221/IGF-ESIS.24.07

M3 - Article

AN - SCOPUS:84875407280

VL - 24

SP - 75

EP - 80

JO - Frattura ed Integrita Strutturale

JF - Frattura ed Integrita Strutturale

SN - 1971-8993

ER -