Multilevel 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: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An approach to multilevel description of deformation and fracture of brittle porous media on the basis of movable cellular automaton method was proposed. The media characterized by pore size distribution function having two maxima were 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 medium. A hierarchical two level model of mechanical behavior of ceramics under compression and shear loading was developed. The ceramics on the basis of zirconium oxide with pore size greater than the average grain size was considered. At the first level of model the small pores (corresponding to the first maximum of distribution bar chart of pore size) were taking into account explicitly as well as representative volume and effective elastic characteristics of the porous medium were evaluated. At the second scale level of the model, big pores were taking into account explicitly (by removing automata from the initial structure) and the parameters of matrix corresponded to the ones of the first level. Simulation results showed, that the proposed multilevel model allows performing correct qualitative and quantitative description of deformation and fracture of brittle media with hierarchical porous structure.

Original languageEnglish
Title of host publication19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012
PublisherEuropean Conference on Fracture, ECF
Publication statusPublished - 2012
Event19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012 - Kazan, Russian Federation
Duration: 26 Aug 201231 Aug 2012

Other

Other19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012
CountryRussian Federation
CityKazan
Period26.8.1231.8.12

Fingerprint

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

Keywords

  • 3D modeling
  • Brittle media
  • Deformation and fracture
  • Discrete approach
  • Movable cellular automaton method
  • Porous ceramics

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality

Cite this

Konovalenko, I. S., Smolin, A. Y., & Psakhie, S. G. (2012). Multilevel approach to description of deformation and fracture of brittle media with hierarchical porous structure on the basis of movable cellular automaton method. In 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012 European Conference on Fracture, ECF.

Multilevel approach to description of deformation and fracture of brittle media with hierarchical porous structure on the basis of movable cellular automaton method. / Konovalenko, Ig S.; Smolin, A. Yu; Psakhie, S. G.

19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012. European Conference on Fracture, ECF, 2012.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Konovalenko, IS, Smolin, AY & Psakhie, SG 2012, Multilevel approach to description of deformation and fracture of brittle media with hierarchical porous structure on the basis of movable cellular automaton method. in 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012. European Conference on Fracture, ECF, 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012, Kazan, Russian Federation, 26.8.12.
Konovalenko IS, Smolin AY, Psakhie SG. Multilevel approach to description of deformation and fracture of brittle media with hierarchical porous structure on the basis of movable cellular automaton method. In 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012. European Conference on Fracture, ECF. 2012
Konovalenko, Ig S. ; Smolin, A. Yu ; Psakhie, S. G. / Multilevel approach to description of deformation and fracture of brittle media with hierarchical porous structure on the basis of movable cellular automaton method. 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012. European Conference on Fracture, ECF, 2012.
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