Development of a formalism of discrete element method to study mechanical response of geological materials and media at different scales

Evgeny V. Shilko, Alexander S. Grigoriev, Andrey V. Dimaki, Sergey V. Astafurov, Sergey G. Psakhie

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

Abstract

A general approach to realization of models of elasticity, plasticity and fracture of heterogeneous materials within the framework of particle-based discrete element method is proposed in the paper. The approach is based on constructing many-body forces of particle interaction, which provide response of particle ensemble correctly conforming to the response (including elastic-plastic behavior and fracture) of simulated solids. For correct modeling of inelastic deformation and failure of geological materials and media at "high" structural scales (relative to the scale of grains) an implementation of dilatational Nikolaevsky's model of plasticity of rocks within the framework of mathematical formalism of discrete element method is proposed. Perspectives of multiscale modeling of geological materials from grainrelated scale up to macroscopic scale within the same numerical technique (DEM) are discussed.

Original languageEnglish
Title of host publicationParticle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013
Pages795-806
Number of pages12
Publication statusPublished - 2013
Event3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013 - Stuttgart, Germany
Duration: 18 Sep 201320 Sep 2013

Other

Other3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013
CountryGermany
CityStuttgart
Period18.9.1320.9.13

Fingerprint

formalism
plastic properties
particle interactions
plastics
elastic properties
rocks

Keywords

  • DEM
  • Fracture
  • Many-body interaction force
  • MCA
  • Nikolaevsky's model
  • Plasticity

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Shilko, E. V., Grigoriev, A. S., Dimaki, A. V., Astafurov, S. V., & Psakhie, S. G. (2013). Development of a formalism of discrete element method to study mechanical response of geological materials and media at different scales. In Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013 (pp. 795-806)

Development of a formalism of discrete element method to study mechanical response of geological materials and media at different scales. / Shilko, Evgeny V.; Grigoriev, Alexander S.; Dimaki, Andrey V.; Astafurov, Sergey V.; Psakhie, Sergey G.

Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013. 2013. p. 795-806.

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

Shilko, EV, Grigoriev, AS, Dimaki, AV, Astafurov, SV & Psakhie, SG 2013, Development of a formalism of discrete element method to study mechanical response of geological materials and media at different scales. in Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013. pp. 795-806, 3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013, Stuttgart, Germany, 18.9.13.
Shilko EV, Grigoriev AS, Dimaki AV, Astafurov SV, Psakhie SG. Development of a formalism of discrete element method to study mechanical response of geological materials and media at different scales. In Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013. 2013. p. 795-806
Shilko, Evgeny V. ; Grigoriev, Alexander S. ; Dimaki, Andrey V. ; Astafurov, Sergey V. ; Psakhie, Sergey G. / Development of a formalism of discrete element method to study mechanical response of geological materials and media at different scales. Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013. 2013. pp. 795-806
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