Establishment and finite element mesh of 3D mesoscopic stochastic models of concrete

HU Da-lin; ZHANG Li-xing; CHEN Ding-shi

doi:10.19818/j.cnki.1671-1637.2018.05.001

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HU Da-lin, ZHANG Li-xing, CHEN Ding-shi. Establishment and finite element mesh of 3D mesoscopic stochastic models of concrete[J]. Journal of Traffic and Transportation Engineering, 2018, 18(5): 1-11. doi: 10.19818/j.cnki.1671-1637.2018.05.001

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HU Da-lin, ZHANG Li-xing, CHEN Ding-shi. Establishment and finite element mesh of 3D mesoscopic stochastic models of concrete[J]. Journal of Traffic and Transportation Engineering, 2018, 18(5): 1-11. doi: 10.19818/j.cnki.1671-1637.2018.05.001

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Establishment and finite element mesh of 3D mesoscopic stochastic models of concrete

doi: 10.19818/j.cnki.1671-1637.2018.05.001

HU Da-lin^1
,,
ZHANG Li-xing^{1, 2},
CHEN Ding-shi^{1, 3}

1.
Key Laboratory of Bridge Detection and Reinforcement Technology of Ministry of Transport, Chang'an University, Xi'an 710064, Shaanxi, China
2.
Shaanxi Provincial Transport Planning Design and Research Institute, Xi'an 710065, Shaanxi, China
3.
CCCC First Highway Consultants Co., Ltd., Xi'an 710061, Shaanxi, China

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Author Bio:
HU Da-lin(1959-),male,professor,PhD,dlhu@gl.chd.edu.cn
Received Date: 2018-05-22
Publish Date: 2018-10-25

Abstract

Abstract

The concrete was assumed to be a two-phase composite material of aggregate and mortar.The mathematical boundary conditions and interference judgment of spherical and ellipsoid aggregates and their mixtures were studied, respectively.A stochastic packing algorithm was designed for the spherical and ellipsoid aggregate, and a corresponding program was compiled using MATLAB to realize the generation of a three-dimensional mesoscopic stochastic geometric model of concrete.The interference relationship of spherical aggregates was judged by the center distance between adjacent aggregate particles.The interference between ellipsoidal aggregates was judged by the relationship between any point on an ellipsoid and a point on the straight-line segment formed by the connection of any point on an ellipsoid and the center of another ellipsoid.Thus, the interference relationship between two ellipsoids was simplified as the relationshipbetween an ellipsoid and a point.A program named mat2 scr 2017 was developed on MATLAB to read the graphic file data from MATLAB into SCR script file.The stochastic aggregate model built with mat2 scr 2017 program was transformed into an AutoCAD graphics file and input into the COMSOL Multiphysics software.The finite element mesh of concrete geometric model was carried out through COMSOL Multiphysics.Research result shows that the volume ratio of the stochastic aggregate model can reach 50%, and the aggregate size and packed position meet the randomness requirements.The ellipsoid random aggregate packing algorithm is simple and efficient, and can guarantee the randomness of dip angle of ellipsoid.The model is applicable to the generation of arbitrarily graded concrete, and the continuously graded concrete aggregates are packed according to different gradations, thus ensuring the volume ratio of the aggregates at all levels.The conversion of MATLAB graphics to AutoCAD graphics is realized, and the generality of stochastic concrete model is greatly enhanced.The mesh generation of the concrete model meets the requirement of grid consistency at the interface of aggregate and mortar, and the needs for finite element analysis.
- bridge engineering,
- concrete,
- stochastic aggregate,
- packing algorithm,
- MATLAB,
- mesh generation

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References(35)

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Establishment and finite element mesh of 3D mesoscopic stochastic models of concrete

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Establishment and finite element mesh of 3D mesoscopic stochastic models of concrete

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