Study on the damage statistical strength criterion of backfill with crack under thermo-mechanical coupling

ABSTRACT

Aiming at backfill with crack under the thermo-mechanical (TM) coupling, the concepts of crack macro-damage, loading meso-damage, thermal meso-damage, and total damage of backfill were proposed. Based on the statistical damage theory, considering the coupling effects of temperature, load and initial crack, a damage evolution model of backfill with crack under TM coupling effects was established. Based on this, the strength criterion of backfill with crack considering the effects of thermal and mechanical coupling was constructed by multivariate function full differential method. The research shows that: (1) The theoretical curves of damage evolution model and strength criterion of backfill with crack under TM coupling are in good agreement with the test curves, which verifies the rationality of the model. (2) The initial thermal damage decreases first and then increases with increasing temperature, reaches a minimum value at 40°C, and generally shows a “V” -shaped distribution law. The coupling effect of temperature and crack aggravates the total damage of the backfill. (3) The strength criterion can reflect the relationship between the stress and strain of each limit state and the parameters of backfill with crack under different temperature conditions and can provide a certain reference for the evaluation of the stability of backfill with geological defects such as joints and crack in deep high temperature mines.

KEYWORDS:

• Backfill with crack
• thermo-mechanical coupling
• damage evolution model
• strength criterion
• meso-damage
• statistical damage theory

Data Availability

All data are available within the article or from the corresponding author upon request.

Additional information

Funding

This work was supported by National Natural Science Foundation of China (51774195), National Key Research and Development Program (2018YFC0604700) and 2019 Shanxi Province University Technology Innovation Project (2019L754).