## Abstract

In this study, two types of special experiments are carried out to understand flexural compressive strength size effect of concrete members. The first type is an ordinary cylindrical specimen (CS) with a fully penetrated and vertically standing plate type notch at the mid-height of the specimen, which is loaded in compression at the top surface (e.g., in the parallel direction to the notch length). The second type is a general double cantilever beam (DCB), which is compression loaded in axial direction (e.g., in the parallel direction of the notch). For CS, an adequate notch length is taken from the experimental results obtained from the compressive strength experiment of various initial notch lengths. The trial tests to select the effective initial notch length show that CS with an initial notch length approximately greater than four times the maximum aggregate size fails without an additional increased load and in stable manner under Mode I failure mechanism. Therefore, the initial notch length to the maximum aggregate size ratio of 4.0 is used for all size specimens. For DCB, the eccentricity of loading points with respect to the axial axis of each cantilever and the initial notch length are varied. In both specimens, the compressive loads apply flexural compressive stresses on the crack tip region of the specimens. These two types of specimens fail by Mode I crack opening mechanism. By testing 3 geometrically proportional size specimens for CS and DCB, the experimental datum for flexural compression size effect of concrete are obtained. Using the obtained flexural compressive strength size effect datum, regression analyses are performed using Levenberg-Marquardt's least square method (LSM) to suggest new parameters for the modified size effect law (MSEL). The analysis results show that size effect is apparent for flexural compressive strength of specimens with an initial notch. For CS, the effect of initial notch length on flexural compressive strength size effect is apparent. For DCB, flexural compressive size effect is dependent on the eccentricity of loading points with respect to the axial axis of the cantilever beam. In other words, if DCB specimen is applied with greater tensile stress at the crack tip, the size effect of concrete becomes more distinct. The results show that the flexural compressive strength size effect of initial notch length variation of DCB exists but directly dependent on the loading location. This is due to the fact that the sizes of fracture process zone (FPZ) of all DCB specimens are similar regardless of the differences in the specimen slenderness ratio, but the flexural compressive and tensile stress combinations resulting in stress concentration at the crack tip region has direct effect on size effect of concrete members.

Original language | English |
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Pages (from-to) | 79-102 |

Number of pages | 24 |

Journal | International Journal of Fracture |

Volume | 126 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2004 Mar |

### Bibliographical note

Funding Information:The first author wishes to thank the partial financial support from Technology Development Program for Agriculture and Forestry, Ministry of Agriculture and Forestry, Republic of Korea. These supports are deeply appreciated. The third author wishes to thank the partial support from the research funds of NRL program of Year 2000 (2000-N-NL-01-C-162) from Ministry of Science & Technology in Korea. The contributions of Min-Wook Kim and Bong-Jun Kim are greatly appreciated. In particular, the authors are grateful to Professor Zdenek P. Bazant for his assistance during the experimental program.

## All Science Journal Classification (ASJC) codes

- Computational Mechanics
- Modelling and Simulation
- Mechanics of Materials