Brittle porous material mesovolume structure models and simulation of their mechanical properties

Smolin, I. Yu.; Eremin, M. O.; Макаров, П. В.; Evtushenko, E. P.; Kulkov, S. N.; Buyakova, S. P.

doi:10.1063/1.4899015

Cited by 11 publications

(27 citation statements)

References 8 publications

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“…Our results for elastic modulus are compared with other models and experimental data in Figure 4c. They are in full agreement with the modelling results for spherical pores of Roberts [59], who used the FE method, and Smolin [58], who used the finite difference scheme. Roberts [59] and Smolin [58] porosity.…”

Section: Geometrical Estimation Of the Bulk Elastic Modulus Of A Porosupporting

confidence: 82%

“…They are in full agreement with the modelling results for spherical pores of Roberts [59], who used the FE method, and Smolin [58], who used the finite difference scheme. Roberts [59] and Smolin [58] porosity. This is judged to be reasonable, since as shown in [59], the Young's modulus of a porous body is practically independent of the solid Poisson's ratio.…”

Section: Geometrical Estimation Of the Bulk Elastic Modulus Of A Porosupporting

confidence: 82%

“…The FE model was limited, however, to just 40 x 40 x 40 elements (0.75 mm 3 ) due to computational restrictions. The finite difference model of Smolin [58] also achieved quite good simulation of the compressive strength of Zirconia, a porous solid with complex pores that was represented by overlapping spherical solids. It is clear, however, that the behaviours of zirconia ceramics can differ; this is likely to be due to microstructural differences in the pore geometry and heterogeneity of distribution.…”

Section: Fracture Algorithmmentioning

confidence: 99%

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A multi-scale three-dimensional Cellular Automata fracture model of radiolytically oxidised nuclear graphite

Vertyagina

Marrow

2017

Carbon

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A multi-scale approach for fracture simulation, based on the Cellular Automata technique, has been developed and then applied to a nuclear graphite that is used in structural components of the UK Advanced Gas-cooled Reactors (AGR). High resolution X-ray computed tomographs of Gilsocarbon grade graphite, with up to 68% weight loss by radiolytic oxidation, provide quantitative descriptions of the porosity within its constitutive filler particles and their surrounding matrix. The statistical distributions for tensile strength and elastic modulus obtained from small models of the filler and matrix are introduced to a large scale model of the heterogeneous microstructure. These microstructure-derived simulations achieve a good agreement with experimental data. The computationally efficient analysis is then used to investigate the stochastic effects on mechanical properties of possible variations in the microstructure between individual small test specimens. As these may represent material of nominally the same microstructure, there is an apparent increase in the variability of strength and modulus at high weight loss.

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Section: Geometrical Estimation Of the Bulk Elastic Modulus Of A Porosupporting

confidence: 82%

Section: Geometrical Estimation Of the Bulk Elastic Modulus Of A Porosupporting

confidence: 82%

Section: Fracture Algorithmmentioning

confidence: 99%

See 1 more Smart Citation

A multi-scale three-dimensional Cellular Automata fracture model of radiolytically oxidised nuclear graphite

Vertyagina

Marrow

2017

Carbon

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“…

where the values of n c and J were chosen to fit the data exactly. The basis of our proposed system is Equation (6) [ 10 , 17 ].

…”

Section: Introductionmentioning

confidence: 99%

A New Approach to the Structure-Properties Relationships Determination for Porous Filled Reinforced Materials

2022

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This study describes a new mathematical approach to the relationship between mechanical properties (tensile modulus, ultimate strength, and strain), composition as well as structure of porous-filled reinforced composites. The composite system consisted of a polyurethane matrix, a rubber filler, and a small amount of polyethylene terephthalate as a reinforcement. The newly proposed equations are based on a special mixing rule with the same basic form for all studied properties. The mixing rule contains a correction parameter η, which differs in different filler content in the filled part of the composite. Here, a cubic exponential function including the product of suitable structural parameters and exponents ensuring the best fitting and describable by matrix properties were successfully defined to fit the different values of correction parameter. The proposed equations should be a suitable step to obtain a relationship for describing the mechanical behavior of porous-filled and reinforced composites in the case of a small amount of reinforcement.

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“…wood, concrete, mineral castings). Recently, many researchers have attempted to examine the effect of porosity on material behavior, especially for one-component materials such as ceramics [1][2][3][4][5][6][7][8][9][10][11], natural materials [12], sintered metals [1,9,[13][14][15] and polymers [1,16]. The main effort has been developed in the field of mechanical properties mostly represented by elastic modulus and strength.…”

Section: Introductionmentioning

confidence: 99%

A new approach to the structure–properties relationship evaluation for porous polymer composites

et al. 2020

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In proposed study the effect of the composition and structure of polyurethane/ground rubber (PUR/GR) composites on the mechanical behavior was evaluated. The structure-properties relationship was studied for PUR matrices with different polarity, porosity and mechanical properties. The morphology of PUR/GR composites was expressed by two structural parameters-interspace filling and interspace volume. Experimental data of mechanical testing were fitted by powerlaw functions containing mentioned structural parameters whereas exponents of these parameters reflect differences in mechanical properties and chemical composition of PUR matrices. Obtained equations describe the mechanical behavior with respect to the structure and morphology of porous PUR/GR composites consisting of one filler and different PUR matrices. Proposed study suggests new approach to the description of the relationship between mechanical behavior and structure of porous composite materials.

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Brittle porous material mesovolume structure models and simulation of their mechanical properties

Cited by 11 publications

References 8 publications

A multi-scale three-dimensional Cellular Automata fracture model of radiolytically oxidised nuclear graphite

A multi-scale three-dimensional Cellular Automata fracture model of radiolytically oxidised nuclear graphite

A New Approach to the Structure-Properties Relationships Determination for Porous Filled Reinforced Materials

A new approach to the structure–properties relationship evaluation for porous polymer composites

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