Discrete element approach to modeling heterogeneous elastic-plastic materials and media

S. G. Psakhie, Y. Horie, E. V. Shilko, A. Yu Smolin, A. I. Dmitriev, S. V. Astafurov

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The paper is devoted to development of an approach to building the expressions for central and tangential interaction of discrete elements simulating isotropic elastic-plastic solid. The approach is based on associations between the components of local stress/strain tensor and the inter-automaton forces/displacements. Two ways of description of elastic-plastic interaction of discrete elements are proposed. The first one is pair-related formalism. It is based on definition of local stress and strain tensor components for interacting pairs of elements. The second one is element-related formalism, which uses components of average stress/strain tensor components in the volume of discrete element. Emergent advantages of the developed approach to formulation of mechanical interaction of discrete elements are its generality for all realizations of discrete element method (DEM) and capability to realize various models of elastic-plastic or visco-elastic-plastic media in the framework of discrete concept in mechanics. Proposed approach was realized within the formalism of the movable cellular automaton (MCA) method, which integrates the possibilities of cellular automaton methods and DEM. Some valuable results of the MCA method application to study complex deformation processes in heterogeneous media at various scales (from nanoscopic to geological) are considered.

Original languageEnglish
Pages (from-to)93-125
Number of pages33
JournalInternational Journal of Terraspace Science and Engineering
Volume3
Issue number1
Publication statusPublished - 2010

Fingerprint

Cellular automata
Plastics
Tensors
Finite difference method
Mechanics

Keywords

  • Discrete element method
  • Elastic-plastic interaction
  • Fault zone
  • Fracture
  • Friction in contact spots
  • Hip joint
  • Movable cellular automata
  • Porous materials

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Psakhie, S. G., Horie, Y., Shilko, E. V., Smolin, A. Y., Dmitriev, A. I., & Astafurov, S. V. (2010). Discrete element approach to modeling heterogeneous elastic-plastic materials and media. International Journal of Terraspace Science and Engineering, 3(1), 93-125.

Discrete element approach to modeling heterogeneous elastic-plastic materials and media. / Psakhie, S. G.; Horie, Y.; Shilko, E. V.; Smolin, A. Yu; Dmitriev, A. I.; Astafurov, S. V.

In: International Journal of Terraspace Science and Engineering, Vol. 3, No. 1, 2010, p. 93-125.

Research output: Contribution to journalArticle

Psakhie, SG, Horie, Y, Shilko, EV, Smolin, AY, Dmitriev, AI & Astafurov, SV 2010, 'Discrete element approach to modeling heterogeneous elastic-plastic materials and media', International Journal of Terraspace Science and Engineering, vol. 3, no. 1, pp. 93-125.
Psakhie, S. G. ; Horie, Y. ; Shilko, E. V. ; Smolin, A. Yu ; Dmitriev, A. I. ; Astafurov, S. V. / Discrete element approach to modeling heterogeneous elastic-plastic materials and media. In: International Journal of Terraspace Science and Engineering. 2010 ; Vol. 3, No. 1. pp. 93-125.
@article{e5330523f9a44b23b4ff9f37338c8c10,
title = "Discrete element approach to modeling heterogeneous elastic-plastic materials and media",
abstract = "The paper is devoted to development of an approach to building the expressions for central and tangential interaction of discrete elements simulating isotropic elastic-plastic solid. The approach is based on associations between the components of local stress/strain tensor and the inter-automaton forces/displacements. Two ways of description of elastic-plastic interaction of discrete elements are proposed. The first one is pair-related formalism. It is based on definition of local stress and strain tensor components for interacting pairs of elements. The second one is element-related formalism, which uses components of average stress/strain tensor components in the volume of discrete element. Emergent advantages of the developed approach to formulation of mechanical interaction of discrete elements are its generality for all realizations of discrete element method (DEM) and capability to realize various models of elastic-plastic or visco-elastic-plastic media in the framework of discrete concept in mechanics. Proposed approach was realized within the formalism of the movable cellular automaton (MCA) method, which integrates the possibilities of cellular automaton methods and DEM. Some valuable results of the MCA method application to study complex deformation processes in heterogeneous media at various scales (from nanoscopic to geological) are considered.",
keywords = "Discrete element method, Elastic-plastic interaction, Fault zone, Fracture, Friction in contact spots, Hip joint, Movable cellular automata, Porous materials",
author = "Psakhie, {S. G.} and Y. Horie and Shilko, {E. V.} and Smolin, {A. Yu} and Dmitriev, {A. I.} and Astafurov, {S. V.}",
year = "2010",
language = "English",
volume = "3",
pages = "93--125",
journal = "International Journal of Terraspace Science and Engineering",
issn = "1943-3514",
publisher = "Global Scientech Publishing Company LLC",
number = "1",

}

TY - JOUR

T1 - Discrete element approach to modeling heterogeneous elastic-plastic materials and media

AU - Psakhie, S. G.

AU - Horie, Y.

AU - Shilko, E. V.

AU - Smolin, A. Yu

AU - Dmitriev, A. I.

AU - Astafurov, S. V.

PY - 2010

Y1 - 2010

N2 - The paper is devoted to development of an approach to building the expressions for central and tangential interaction of discrete elements simulating isotropic elastic-plastic solid. The approach is based on associations between the components of local stress/strain tensor and the inter-automaton forces/displacements. Two ways of description of elastic-plastic interaction of discrete elements are proposed. The first one is pair-related formalism. It is based on definition of local stress and strain tensor components for interacting pairs of elements. The second one is element-related formalism, which uses components of average stress/strain tensor components in the volume of discrete element. Emergent advantages of the developed approach to formulation of mechanical interaction of discrete elements are its generality for all realizations of discrete element method (DEM) and capability to realize various models of elastic-plastic or visco-elastic-plastic media in the framework of discrete concept in mechanics. Proposed approach was realized within the formalism of the movable cellular automaton (MCA) method, which integrates the possibilities of cellular automaton methods and DEM. Some valuable results of the MCA method application to study complex deformation processes in heterogeneous media at various scales (from nanoscopic to geological) are considered.

AB - The paper is devoted to development of an approach to building the expressions for central and tangential interaction of discrete elements simulating isotropic elastic-plastic solid. The approach is based on associations between the components of local stress/strain tensor and the inter-automaton forces/displacements. Two ways of description of elastic-plastic interaction of discrete elements are proposed. The first one is pair-related formalism. It is based on definition of local stress and strain tensor components for interacting pairs of elements. The second one is element-related formalism, which uses components of average stress/strain tensor components in the volume of discrete element. Emergent advantages of the developed approach to formulation of mechanical interaction of discrete elements are its generality for all realizations of discrete element method (DEM) and capability to realize various models of elastic-plastic or visco-elastic-plastic media in the framework of discrete concept in mechanics. Proposed approach was realized within the formalism of the movable cellular automaton (MCA) method, which integrates the possibilities of cellular automaton methods and DEM. Some valuable results of the MCA method application to study complex deformation processes in heterogeneous media at various scales (from nanoscopic to geological) are considered.

KW - Discrete element method

KW - Elastic-plastic interaction

KW - Fault zone

KW - Fracture

KW - Friction in contact spots

KW - Hip joint

KW - Movable cellular automata

KW - Porous materials

UR - http://www.scopus.com/inward/record.url?scp=84872521932&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872521932&partnerID=8YFLogxK

M3 - Article

VL - 3

SP - 93

EP - 125

JO - International Journal of Terraspace Science and Engineering

JF - International Journal of Terraspace Science and Engineering

SN - 1943-3514

IS - 1

ER -