Approach to simulation of deformation and fracture of hierarchically organized heterogeneous media, including contrast media

Psakhie, S. G.; Shilko, Evgeny V.; Smolin, Alexey Yu.; Dimaki, Andrey V.; Дмитриев, А. И.; Konovalenko, Igor S.; Астафуров, С. В.; Zavshek, S

doi:10.1016/j.physme.2011.12.003

Cited by 58 publications

(40 citation statements)

References 16 publications

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“…Movable cellular automaton method -MCA [54,61,62]). Метод подвижных клеточных автоматов является активно развивающимся представителем группы МДЭ, основными особенностями которого являются приближе-ние однородного распределения деформаций и напряжений в объеме элемента и много-частичная формулировка межэлементного взаимодействия, полученная на основе исполь-зования модели клеточных автоматов Виннера-Розенблюта [63,64].…”

Section: верификация динамической моделиunclassified

The Numerical Model of Dynamic Mechanical Behavior of Brittle Materials Based on the Concept of the Kinetic Theory of Strength

2017

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Григорьев А.С., Шилько Е.В., Скрипняк В.А., Чернявский А.Г., Псахье С.Г. Численная модель динамического механического поведения хрупких материалов, основанная на принципах кинетической теории прочности // Вестник Пермского национального исследовательского политехнического университета. Механика. -2017. -№ 3. -С. 75-99. DOI: 10.15593/perm.mech/2017.3.05 Grigoriev A.S., Shilko E.V., Skripnyak V.A., Chernyavsky A.G., Psakhie S.G. The numerical model of dynamic mechanical behavior of brittle materials based on the concept of the kinetic theory of strength.

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Section: верификация динамической моделиunclassified

The Numerical Model of Dynamic Mechanical Behavior of Brittle Materials Based on the Concept of the Kinetic Theory of Strength

2017

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“…Within the frame of the MCA method [3], a numerical model of the mechanical behavior of a ceramic composite based on nanocrystalline ZrO 2 (Y 2 O 3 ) fiber-reinforced by Al 2 O 3 under uniaxial compression was developed. The possibility of taking into account the tetragonal-monoclinic (T-M) transition in the matrix of a real composite and the slowdown of the development of defects and cracks in the material during mechanical loading associated with this transition were implemented in the model.…”

Section: Model Construction At Mesoscalementioning

confidence: 99%

Numerical study of mechanical behavior of ceramic composites under compression loading in the framework of movable cellular automaton method

Konovalenko¹,

Smolin²,

Konovalenko³

et al. 2014

AIP Conference Proceedings

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Abstract. Movable cellular automaton method was used for investigating the mechanical behavior of ceramic composites under uniaxial compression. A 2D numerical model of ceramic composites based on oxides of zirconium and aluminum with different structural parameters was developed using the SEM images of micro-sections of a real composite. The influence of such structural parameters as the geometrical dimensions of layers, inclusions, and their spatial distribution in the sample, the volume content of the composite components and their mechanical properties (as well as the amount of zirconium dioxide that underwent the phase transformation) on the fracture, strength, deformation and dissipative properties was investigated.

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“…The movable cellular automata is a new efficient numerical method in particle mechanics that is different from methods in the traditional continuum mechanics [8][9][10]. Within the frame of movable cellular automata, it is assumed that any material is composed by a certain amount of elementary objects (automata), which interact among each other and can move from one place to another, thereby simulating a real deformation process.…”

Section: Model Descriptionmentioning

confidence: 99%

“…shear and bulk moduli. A distinguishing feature of the method is calculating of forces acting on the automata within the framework of multi-particle interaction [8][9][10], which provides for an isotropic behavior of the simulated medium. Moreover, stress tensor components could be calculated for the automaton taking into account all the forces acting on it [9,10], which enables the realization of various models of plasticity behavior developed in the frame of continuum mechanics.…”

Section: Model Descriptionmentioning

confidence: 99%

3D modeling of the mechanical behavior of ceramics with pores of different size

Smolin¹,

Eremina²,

Konovalenko³

et al. 2014

AIP Conference Proceedings

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Abstract. Movable cellular automaton method was used for simulating uniaxial compression of 3D porous ceramic samples. Pores were considered explicitly by removing randomly selected automata from the original FCC packing. Distribution of pores in space, their size and the total fraction were varied. It is shown that the relation between mechanical properties of the material and its porosity significantly depends on the pore size. Thus, value of the elastic modulus of the samples with large pores is greater than that of the samples with small pores by average value of 3%-16%. Strength value of the samples with large pores is less than that of the samples with small pores by average value of 12% up to the porosity of 0.55, and then becomes to be greater. When the samples contain small and large pores there is a maximum of mechanical properties at ratio of volumes of large and small pores of about 0.75.

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Approach to simulation of deformation and fracture of hierarchically organized heterogeneous media, including contrast media

Cited by 58 publications

References 16 publications

The Numerical Model of Dynamic Mechanical Behavior of Brittle Materials Based on the Concept of the Kinetic Theory of Strength

The Numerical Model of Dynamic Mechanical Behavior of Brittle Materials Based on the Concept of the Kinetic Theory of Strength

Numerical study of mechanical behavior of ceramic composites under compression loading in the framework of movable cellular automaton method

3D modeling of the mechanical behavior of ceramics with pores of different size

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