 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| M.A. Minghui, Y.U. Yilei, and G.A.O. Guangfa, "Theoretical Models Describing the Failure Behavior of Brittle Materials Based on Compression: A Review," Mech. Solids. 60 (8), 7176-7212 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7176-7212 |
| DOI |
10.1134/S0025654425606317 |
| Title |
Theoretical Models Describing the Failure Behavior of Brittle Materials Based on Compression: A Review |
| Author(s) |
M.A. Minghui (School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094 China, maminghui@njust.edu.cn)
Y.U. Yilei (School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094 China, yileiyu@njust.edu.cn)
G.A.O. Guangfa (School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094 China, gfgao@ustc.edu.cn) |
| Abstract |
Over the past few decades, dynamic fracture theory, rooted in energy balance and crack
propagation, has laid a fundamental groundwork for analyzing fracture phenomena in various ballistic
applications. This paper systematically reviews several classical models that characterize the compressive failure behavior of brittle materials. Models based on energy conversion principles posit that the
total energy of a fracturing body splits into the kinetic energy of expanding fragments and the fracture
energy—the latter theoretically derived from changes in the system’s free energy during fracture.
In contrast, models centered on crack propagation explore key phenomena such as elastic modulus
degradation, dilatancy, pressure sensitivity, and strain-rate dependent yielding. Additionally, a range
of models have been effectively developed for numerical simulations. Among these, the DP and JH-2
models describe the constitutive and failure behavior of brittle solids by incorporating pressure dependence and stress-strain relationships, while the DFH model employs a probabilistic framework based
on Weibull statistics to represent the fracture states of brittle materials. Through a detailed analysis of
these classical frameworks, this review provides critical insights that support the advancement and
refined modeling of compressive fracture in brittle solids. |
| Keywords |
Brittle solids, Destructive behavior, Crack growth, Failure model, Damage mechanics |
| Received |
03 November 2025 | Revised |
14 December 2025 | Accepted |
15 December 2025 |
| Link to Fulltext |
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