Abstract
The presented study deals with the analysis of the stochastic geometry of grains on ceramic foam strength behavior. A microstructural finite element (FE) model of a grainy structure of such a material was developed and stochastic changes to the grain geometry (initially of a regular cubic shape) were introduced. The numerical compression test of a series of finite element models was carried out with the use of LS Dyna computer code. To consider the ceramic specific behavior, the Johnson Holmquist constitutive model was implemented with parameters for alumina. The influence of the stochastic irregularities on the ceramic foam strength was observed—the geometry changes caused an increase in the maximum stress, which could be the basis for the indication that the production of the energy absorbing material should be based on mostly irregular grains.
Highlights
Aim of StudySolid ceramic materials are well known and studied
Their behavior is analytically described, and this description was successfully applied in numerical methods: the finite element method (FEM) [1], meshless [2], and more
Good chemical stability—the possibility of various base materials and processing selection allows for the preparation of structures resistant to different working conditions, e.g., corrosion; high specific strength and rigidity—the base material of a porous structure is stiff ceramic, which causes gas or liquid pressure, and other stress loadings do not influence the shape and the size of pores; good thermal stability—heat-resistant porous ceramics are able to filtrate the molten steel or high-temperature burning gas
Summary
Solid ceramic materials are well known and studied. Their behavior is analytically described, and this description was successfully applied in numerical methods: the finite element method (FEM) [1], meshless [2], and more. Porous ceramics can be characterized with pores classified into three classes depending on the pore diameter, d: macroporous (d > 50 nm), mesoporous (50 nm > d > 2 nm) and microporous (d < 2 nm) [8] Owing to this fact, various methods of production were developed. Figure example of the process of ceramic foam realfoam structure: computed tomography results marked blackbitmaps white bitmaps andthresholding thresholding ofthe thepores, pores,. The idealistic models allow for the observation of some general rules ofthe the foam foam behavior, behavior, they do not consider consider the of the stochastic stochasticparameters parameterstypical typicalfor foraaceramic ceramic of the foam behavior, they do not consider the stochastic parameters typical for a ceramic microstructure, such as the variable size or shape of grains. Ceramic foam microstructure, was studied with the use of the finite element method
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