Movable cellular automata method for simulating materials with mesostructure

Psakhie, S. G.; Horie, Y.; Ostermeyer, Georg‐Peter; Korostelev, S. Yu.; Smolin, Alexey Yu.; Shilko, Evgeny V.; Дмитриев, А. И.; Blatnik, S; Spegel, Marjan; Zavšek, Simon

doi:10.1016/s0167-8442(01)00079-9

Cited by 110 publications

(70 citation statements)

References 16 publications

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“…The most important parameter of this model is adhesion between nanoparticles. Psakhie et al proposed the Movable Cellular Automata (MCA) method which combines concepts of DEM, CA and FEM [89]. The big advantage of this model is that it is not restricted by size, and thus can be adjusted to a large variety of technical as well as geological structures.…”

Section: Modelling Of the Sliding Behavior Of Tribofilms Formed Durinmentioning

confidence: 99%

The Role of Solid Lubricants for Brake Friction Materials

Österle

Дмитриев

2016

Lubricants

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This review article comprises of three parts. Firstly, reports of brake manufacturers on the beneficial impact of solid lubricants for pad formulations are surveyed. Secondly, since tribofilms were identified to play a crucial role in friction stabilization and wear reduction, the knowledge about tribofilm structures formed during automotive braking was reviewed comprehensively. Finally, a model for simulating the sliding behavior of tribofilms is suggested and a review on modelling efforts with different model structures related to real tribofilms will be presented. Although the variety of friction composites involved in commercial brake systems is very broad, striking similarities were observed in respect to tribofilm nanostructures. Thus, a generalization of the tribofilm nanostructure is suggested and prerequisites for smooth sliding performance and minimal wear rates have been identified. A minimum of 13 vol % of soft inclusions embedded in an iron oxide based tribofilm is crucial for obtaining the desired properties. As long as the solid lubricants or their reaction products are softer than magnetite, the main constituent of the tribofilm, the model predicts smooth sliding and minimum wear.

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Section: Modelling Of the Sliding Behavior Of Tribofilms Formed Durinmentioning

confidence: 99%

The Role of Solid Lubricants for Brake Friction Materials

Österle

Дмитриев

2016

Lubricants

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“…Each system element is movable cellular automata [5,6]. Automata is homogenous system, thus the center of automata mass coincides with its geometrical center.…”

Section: Magnetic Elastomer Modelmentioning

confidence: 99%

Modelling of magnetic elastomer deformation dependence on magnetic field

Solodkiy

Afremov

2017

J. Phys.: Conf. Ser.

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Abstract. The model of magnetic deformable system was developed. The modelling of magnetic elastomer deformation and magnetization dependence on external magnetic field was calculated within the method of movable cellular automata (MCA). It was shown that ordering of magnetic particles substantially effects on elastomer saturation deformation. The maximum orderly elastomer saturation deformation is twice higher the saturation deformation of system with chaotic ordering of magnetic particles.

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“…The mechanical characteristics of continuous and discrete media were taken to be identical, so that the medium was formally homogeneous and the interface should not be manifested. It should be noted that numerical methods used in this study were previously successfully applied to description of dynamical processes, including the propagation of elastic waves [8,9,[11][12][13].…”

Section: Modeling the Behavior Of Complexmentioning

confidence: 99%

“…For this reason, most of these investigations use the equations of motion in the form typical of the method of particles [4] and the interaction forces are calculated within the framework of the model of hard or soft spheres. However, this formalism does not provide correct description of the behavior of continuous isotropic media.The numerical method of movable cellular automata (MCA) extensively developed in recent years [5][6][7][8][9] is free of this disadvantage. While using a discrete approach, this method is based on the equations of motion, which are different from classical equations.…”

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Modeling the behavior of complex media by jointly using discrete and continuum approaches

et al. 2004

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Investigation of the laws governing the behavior of complex media under the action of various external factors is necessary for solving many basic, technological, and engineering problems. An important part in such investigations belongs to methods and approaches developed by computational mechanics. For a long time, most numerical methods were based on the approaches developed within the framework of the mechanics of continuum. It should be noted that application of the methods of continuum mechanics to description of the process of deformation encounters considerable difficulties in the presence of local straining, discontinuities, intense vortex deformations, and agitation of masses. These problems are especially significant in the case of highly porous and heterogeneous materials and composites with strongly different properties of components.Discrete approaches capable of explicitly modeling the processes involving agitation of masses were developed predominantly for the investigation of granulated and friable media [1][2][3][4], in which the basic elements can be modeled by particles. For this reason, most of these investigations use the equations of motion in the form typical of the method of particles [4] and the interaction forces are calculated within the framework of the model of hard or soft spheres. However, this formalism does not provide correct description of the behavior of continuous isotropic media.The numerical method of movable cellular automata (MCA) extensively developed in recent years [5][6][7][8][9] is free of this disadvantage. While using a discrete approach, this method is based on the equations of motion, which are different from classical equations. In particular, it was shown [7] that, when the characteristic automaton size tends to zero, the MCA formalism allows a transition to the relations of continuum mechanics. The main advantage of this method is the possibility of explicitly modeling both the motion of continuous media and the agitation of masses, including the formation of discontinuities of various types (from the generation of individual defects to the main crack propagation). This circumstance for the first time provides prerequisites for jointly using discrete and continuum approaches within the framework of a common computational scheme, thus combining the advantages of both approaches for solving problems related to modeling of complex objects containing explicit zones of intense straining and fracture. This paper is devoted to the joint use of discrete and continuum approaches, which is important for the development of computational mechanics. The new approach is based on two methods successfully used in recent years. The first method, based on the continuum approach, is the finite difference method of solution of the dynamical problems of elastoplastic deformation of continuous media, and the second is the MCA method based on the discrete description.Since both methods employed in the proposed approach are well known [5,6, 10], we will only consider the questions p...

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Movable cellular automata method for simulating materials with mesostructure

Cited by 110 publications

References 16 publications

The Role of Solid Lubricants for Brake Friction Materials

The Role of Solid Lubricants for Brake Friction Materials

Modelling of magnetic elastomer deformation dependence on magnetic field

Modeling the behavior of complex media by jointly using discrete and continuum approaches

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