A Compound Damage Constitutive Model Considering Deformation of Nonpersistent Fractured Rock Masses

• Published in: Crystals (Basel) Vol. 12; no. 3; p. 352
• Main Authors: Li, Lielie, Yao, Xianhua, Wang, Jialiang, Zhang, Yiying, Zhang, Longfei
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.03.2022
• Subjects: compound; constitutive model; Constitutive models; damage; Damage assessment; Deformation; Deviation; Energy; Failure analysis; Hypotheses; Impact damage; Jointed rock; Laboratories; Laboratory tests; Mathematical models; Mohr-Coulomb theory; Peak load; Reciprocity; Reciprocity theorem; Rock masses; self-consistent; Stress-strain curves; Yield criteria; yield criterion
• DOI: 10.3390/cryst12030352
• ISSN: 2073-4352

This paper describes a study on the interaction between joint fissures in a nonpersistent jointed rock mass by introducing a self-consistent methodology, amending the traditional method of self-consistency by increasing the number of joints one by one, and deducing a new compound mesoscale and macroscale constitutive damage model based on the Betti energy reciprocity theorem. By analyzing the Mohr–Coulomb failure criterion and generalized von Mises yield criterion and their impact on the calculation result of macroscopic damage, the generalized von Mises criterion is proven to be more appropriate, and it is, thus, chosen for this compound damage constitutive model. Comparing the theoretical calculation and laboratory results of the compound damage model with the existing theoretical calculation results indicates the following: 1. The compound damage model in this paper provides a better fit of the stress–strain curves from the laboratory tests. 2. The theoretical calculative results for the compound damage model in this paper are consistent with the experimental results; that is, the peak load decreases as the connectivity rate increases. 3. For different joint angles and connectivity rates, the overall absolute deviations and relative deviations of the peak stress from the theoretical calculations and the laboratory tests are less than those from the theoretical calculations provided in the original literature. The theoretical calculations of the compound damage model in this paper are more aligned with the experimental results, verifying its correctness and rationality.