Modeling mechanical behaviors of composites with various ratios of matrix–inclusion properties using movable cellular automaton method

Abstract

Two classes of composite materials are considered: classical metaleceramic composites with reinforcing hard inclusions as well as hard ceramics matrix with soft gel inclusions. Movable cellular automaton method is used for modeling the mechanical behaviors of such different heterogeneous materials. The method is based on particle approach and may be considered as a kind of discrete element method. The main feature of the method is the use of many-body forces of inter-element interaction within the formalism of simply deformable element approximation. It was shown that the strength of reinforcing particles and the width of particle-binder interphase boundaries had determining influence on the service characteristics of metaleceramic composite. In particular, the increasing of strength of carbide inclusions may lead to significant increase in the strength and ultimate strain of composite material. On the example of porous zirconia ceramics it was shown that the change in the mechanical properties of pore surface leads to the corresponding change in effective elastic modulus and strength limit of the ceramic sample. The less is the pore size, the more is this effect. The increase in the elastic properties of pore surface of ceramics may reduce its fracture energy.

Microstructure and properties of insitu titanium boride (TiB)/titanium (TI) composites

“…However, to my best knowledge, though many methods or models had been presented in the past such as cellular automaton method [31,32], semi-empirical mixing-rule model [33,34] and the percolation model [35], no one of them showed obvious advantages than the others. Here, the H-T model [36] was tried and discussed.…”

“…It indicates the effects of the aspect ratio also and other factors may also have effects on the strengths of the composites. Liking that in the micromechanical simulation [31,32], the more details were considered in the process the more accuracy would be attained. However, the methods in this work will save more times in numerical calculation for its simple form comparing with the micromechanical simulation.…”

On Electrical Discharge Machining of Non-Conductive Ceramics: A Review

“…The analysis of the leading world scientific competitors in this domain shows that the world community is separated as it was mentioned above. One group of scientists is focused on the modification of nanoceramics with conductive inclusions to create systems such as ZrO 2 -Ta, ZrO 2 -TiC, ZrO 2 -TiCN, Si 3 N 4 -TiC, Si 3 N 4 -TiCN, Al 2 O 3 -TiC, Al 2 O 3 -TiCN [49][50][51][52][53][54][55][56][57][58][59], as well as inclusions based on graphene and oxide graphene and graphene nanotubes [23,[60][61][62][63][64]. Another group of scientists has focused their research on the processing capabilities of existed ceramics and non-conductive ceramic composites.…”

Numerical Simulation of Microstructure Evolution in Solidification Process of Ferritic Stainless Steel with Cellular Automaton

“…Numerical simulations were developed to understand the dendritic growth and microstructure formation in solidification in the last twenty years [6][7][8][9]. The cellular automaton (CA) method has been rapidly developed as an attractive and efficient technique to predict the evolution of solidification structures [10][11][12] and study the mechanical properties of composite in the field of materials science [13,14].…”