A mathematical model of particle–particle interaction for discrete element based modeling of deformation and fracture of heterogeneous elastic–plastic materials

Bibliographic Details
Parent link:Engineering Fracture Mechanics.— , 1978-
Vol. 130.— 2014.— [P. 96-115]
Corporate Author: Национальный исследовательский Томский политехнический университет (ТПУ) Институт физики высоких технологий (ИФВТ) Кафедра физики высоких технологий в машиностроении (ФВТМ)
Other Authors: Psakhie S. G. Sergey Grigorievich, Shilko E. V. Evgeny Viktorovich, Grigoriev A. S., Astafurov S. V., Dimaki A. V. Andrey Viktorovich, Smolin A. Yu.
Summary:Title screen
An approach to implementation of models of elasticity, plasticity and fracture of heterogeneous materials within the framework of discrete element method (DEM) is proposed. The approach is based on constructing many-body forces of element–element interaction within the formalism of simply deformable element approximation of generalized concept of DEM. Implementation of the approach is shown by the example of the movable cellular automaton method, which integrates the possibilities of DEM and cellular automaton methods. For correct modeling of inelastic deformation and failure of heterogeneous materials the dilatational non-associated model of plastic flow is implemented within the formalism of DEM. The examples are presented which illustrate correctness of the developed mathematical formalism and its usefulness in analysis of various problems in mechanics of discontinua.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2014
Subjects:
Online Access:http://dx.doi.org/10.1016/j.engfracmech.2014.04.034
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653771

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200 1 |a A mathematical model of particle–particle interaction for discrete element based modeling of deformation and fracture of heterogeneous elastic–plastic materials  |f S. G. Psakhie [et al.] 
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300 |a Title screen 
320 |a [References: p. 114-115 (60 tit.)] 
330 |a An approach to implementation of models of elasticity, plasticity and fracture of heterogeneous materials within the framework of discrete element method (DEM) is proposed. The approach is based on constructing many-body forces of element–element interaction within the formalism of simply deformable element approximation of generalized concept of DEM. Implementation of the approach is shown by the example of the movable cellular automaton method, which integrates the possibilities of DEM and cellular automaton methods. For correct modeling of inelastic deformation and failure of heterogeneous materials the dilatational non-associated model of plastic flow is implemented within the formalism of DEM. The examples are presented which illustrate correctness of the developed mathematical formalism and its usefulness in analysis of various problems in mechanics of discontinua. 
333 |a Режим доступа: по договору с организацией-держателем ресурса 
461 |t Engineering Fracture Mechanics  |d 1978- 
463 |t Vol. 130  |v [P. 96-115]  |d 2014 
610 1 |a электронный ресурс 
610 1 |a труды учёных ТПУ 
610 1 |a метод дискретных элементов 
610 1 |a подвижные клеточные автоматы 
610 1 |a трещины 
701 1 |a Psakhie  |b S. G.  |c physicist  |c head of laboratory, Advisor to the rector, head of Department, Tomsk Polytechnic University, doctor of physico-mathematical Sciences  |f 1952-  |g Sergey Grigorievich  |3 (RuTPU)RU\TPU\pers\33038 
701 1 |a Shilko  |b E. V.  |c physicist  |c engineer of Tomsk Polytechnic University, Doctor of physical and mathematical sciences  |f 1973-  |g Evgeny Viktorovich  |3 (RuTPU)RU\TPU\pers\35909 
701 1 |a Grigoriev  |b A. S. 
701 1 |a Astafurov  |b S. V. 
701 1 |a Dimaki  |b A. V.  |c physicist  |c engineer of Tomsk Polytechnic University, candidate of technical sciences  |f 1982-  |g Andrey Viktorovich  |3 (RuTPU)RU\TPU\pers\35815 
701 1 |a Smolin  |b A. Yu. 
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