Interaction Analysis of Collinear Two Cracks with Unequal Length under Uniaxial Traction

Author:

Yu Bin1ORCID,Xi Jingyi2,Chen Zhonghui3,Zhang Lingfan3ORCID

Affiliation:

1. Datong Coal Mine Group Co., Ltd, Datong 037003, China

2. China Building Technology Group Co., Ltd, Beijing 100013, China

3. College of Mechanics and Civil Engineering, China University of Mining & Technology (Beijing), Beijing 100083, China

Abstract

The interaction among different sizes of cracks in materials is one of the key factors leading to the damage of brittle materials. Based on the Kachanov method, the expressions for the stress intensity factors of two collinear cracks with unequal length were obtained and the interaction effect was analyzed. A compression test of a cement mortar specimen containing two cracks and numerical analysis using RFPA2D were performed. The results indicate that the crack interaction can almost be neglected when the crack distance reaches the length of the large crack; the two respective collinear cracks in the specimen grow and do not affect each other when the crack distance reaches the large crack length. The results of compression test and numerical analysis are both in agreement with the theoretical result.

Funder

Special Fund of Shanxi Scholars Support Plan

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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