BOUNDARY EFFECT FRACTURE MODEL FOR CONCRETE AND GRANITE CONSIDERING AGGREGATE SIZE

GUAN Jun-feng; WANG Qiang; HU Xiaozhi; BAI Wei-feng; JIANG Bin

doi:10.6052/j.issn.1000-4750.2016.08.0652

Volume 34 Issue 12

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Engineering Mechanics > 2017 > 34(12): 22-30. > DOI: 10.6052/j.issn.1000-4750.2016.08.0652

GUAN Jun-feng, WANG Qiang, HU Xiaozhi, BAI Wei-feng, JIANG Bin. BOUNDARY EFFECT FRACTURE MODEL FOR CONCRETE AND GRANITE CONSIDERING AGGREGATE SIZE[J]. Engineering Mechanics, 2017, 34(12): 22-30. DOI: 10.6052/j.issn.1000-4750.2016.08.0652

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BOUNDARY EFFECT FRACTURE MODEL FOR CONCRETE AND GRANITE CONSIDERING AGGREGATE SIZE

1.
School of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou, Henan 450045, China;
2.
School of Mechanical and Chemical Engineering, University of Western Australia, Perth, WA 6009, Australia;
3.
School of Materials science and Engineering, University of Science and Technology Beijing, Beijing 100083, China

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Received Date: August 25, 2016
Revised Date: December 11, 2016

Abstract

Abstract

The application of boundary effect model (BEM) and size effect model (SEM) on fracture behavior of materials were compared. A theory and the associated method for determining the material constants (fracture toughness K_IC and tensile strength f_t) were proposed using experimental peak loads P_max from three-point-bend (3-p-b) specimens with quasi-brittle fracture controlled. The ratio of 3-p-b concrete specimens size W to maximum aggregate size d_max under laboratory conditions is around 5 to 20. These concrete specimens are heterogeneous, where quasi-brittle fracture is dominant. In contrast to the fracture mechanical models those are based on continuum mechanics and applied to quasi-brittle fracture, the maximum aggregate size d_max was introduced in the analytical formula of the proposed fracture model. The stable crack growth corresponding to the peak load of these specimens can be evaluated based on parameter combination β d_max, and precisely predict results can be obtained by using different values of discrete number β. The validity of the theory and the proposed method has been confirmed by test results from different scholars, including mortar, concrete and granite material (d_max=1.2 mm to 40 mm), linked with same specimen size W but with different initial crack length a₀ and geometrically similar or with a same ratio of initial crack length to specimens size a₀/W but different W.
- quasi-brittle fracture,
- aggregate size,
- fracture toughness,
- tensile strength,
- boundary effect,
- size effect

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BOUNDARY EFFECT FRACTURE MODEL FOR CONCRETE AND GRANITE CONSIDERING AGGREGATE SIZE

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