University of Oulu

Qiao Y, Zhang Z-X, Zhang S. An Experimental Study of the Relation between Mode I Fracture Toughness, KIc, and Critical Energy Release Rate, GIc. Materials. 2023; 16(3):1056.

An experimental study of the relation between mode I fracture toughness, KIc, and critical energy release rate, GIc

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Author: Qiao, Yang1; Zhang, Zong-Xian1; Zhang, Sheng2
Organizations: 1Oulu Mining School, University of Oulu, 90570 Oulu, Finland
2School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo 454099, China
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 5.5 MB)
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Language: English
Published: Multidisciplinary Digital Publishing Institute, 2023
Publish Date: 2023-08-10


The construction of the relation between the critical energy release rate, ๐บ๐ผ๐‘, and the mode I fracture toughness, ๐พ๐ผ๐‘, is of great significance for understanding the fracture mechanism and facilitating its application in engineering. In this study, fracture experiments using NSCB and CCCD specimens were conducted. The effects of specimen sizes, loading rate and lithology on the relation between ๐บ๐ผ๐‘ and ๐พ๐ผ๐‘ were studied. ๐บ๐ผ๐‘ was calculated by integrating the loadโ€“displacement curve according to Irwinโ€™s approach. Based on the measured ๐พ๐ผ๐‘ and ๐บ๐ผ๐‘ of the rock specimens, a relation between ๐บ๐ผ๐‘ and ๐พ๐ผ๐‘ was found to be different from the classical formula under linear elasticity. It was found that both specimen size and loading rate do not influence this relation.

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Series: Materials
ISSN: 1996-1944
ISSN-E: 1996-1944
ISSN-L: 1996-1944
Volume: 16
Issue: 3
Article number: 1056
DOI: 10.3390/ma16031056
Type of Publication: A1 Journal article โ€“ refereed
Field of Science: 216 Materials engineering
Funding: This study was supported by the K. H. Renlund Stiftelse Foundation in Finland. The first author is grateful to the China Scholarship Council (funding number: CSC NO. 201908410233) for the financial support.
Copyright information: ยฉ 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (