University of Oulu

Xu, X., Chi, L. Y., Yang, J., & Zhang, Z.-X. (2023). A modified incubation time criterion for dynamic fracture of rock considering whole stress history. International Journal of Rock Mechanics and Mining Sciences, 164, 105361.

A modified incubation time criterion for dynamic fracture of rock considering whole stress history

Saved in:
Author: Xu, Xuan1; Chi, Li Yuan1; Yang, Jun1;
Organizations: 1State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing, 100081, China
2Oulu Mining School, University of Oulu, Oulu, 90014, Finland
Format: article
Version: accepted version
Access: embargoed
Persistent link:
Language: English
Published: Elsevier, 2023
Publish Date: 2025-01-16


The objective of this paper is to deeply understand and analytically characterize the dynamic strength enhancement of rock. Inspired by the incubation time criterion, a modified dynamic fracture criterion considering whole stress history, called the incubation characteristic time criterion, is proposed. The physical meaning of the modified criterion is interpreted by the hysteresis effect in dynamic fracture revealed by the experimental observation of microcrack kinematics. The dynamic tensile strength determined with the modified criterion is validated by comparing it with published experimental data and the determined result from the original incubation time criterion. Factors in the modified criterion that affect the ultimate dynamic fracture include the quasi-static tensile strength, incubation characteristic time and stress history. The sensitivity of dynamic tensile strength to fundamental material properties is analysed through the combination of the quasi-static tensile strength and the incubation characteristic time. In addition, three types of waveforms are used to investigate the effects of the stress history on the dynamic tensile fracture. Finally, the simple numerical implementation of the modified criterion combined with the classical linear elastic model visually reproduces the analytical calculation of dynamic fracture under different stress histories. In conclusion, the modified criterion provides a novel approach to determine the dynamic fracture of rock under arbitrary loading conditions by considering the whole stress history in comparison with the rate-dependent models.

see all

Series: International journal of rock mechanics and mining sciences
ISSN: 1365-1609
ISSN-E: 1873-4545
ISSN-L: 1365-1609
Volume: 164
Article number: 105361
DOI: 10.1016/j.ijrmms.2023.105361
Type of Publication: A1 Journal article – refereed
Field of Science: 1171 Geosciences
218 Environmental engineering
Funding: This research was supported by the National Natural Science Foundation of China (Grant No. 12002047, 51774043).
Copyright information: © 2023. This manuscript version is made available under the CC-BY-NC-ND 4.0 license