Study of mixed mode I/II cohesive zone models of different rank coals

The present work studies the Park?Paulino?Roesler (PPR) model, a unified potential-based cohesive zone model (CZM), for mixed mode I/II fractures in different rank coals, including weakly caking coals, fat coals and anthracite, by using disk-shaped compact tension (DC(T)) tests and punch-through shear (PTS) tests. The PTS experiments show that with the increase in coal rank, the initial shear stiffness and shear peak loads grow and the maximum tangential crack opening displacement (?t) decreases gradually. Additionally, the post-peak softening curve tends to have a linear shape, and the shear crack surface is rougher and more tortuous for the lower rank coals. The mode II fracture energy (?t) was evaluated by calculating the area under the shear load?displacement curves. ?t is remarkably higher than mode I fracture energy (?n) for the same coal rank, and the average value of ?t decreases from 145.54 J/m2 to 70.11 J/m2 as the coal rank of the specimens increases from weakly caking coals to anthracite. In order to verify the obtained PPR CZMs, mixed mode I/II single-edge notched beam (SENB) tests were performed and the experimental results are in good agreement with the numerical simulation. Moreover, we conducted SENB tests with different-size specimens, and the established PPR CZM model demonstrated its ability of describing the size effect of the mixed mode I/II fracture in coals.

Automated summary

This study investigated the PPR model for mixed mode I/II fractures in different rank coals using DC(T) and PTS tests. Results showed that with higher coal rank, initial shear stiffness and peak loads increase, and maximum tangential crack opening displacement decreases. Additionally, the shear crack surface is rougher and more tortuous, and mode II fracture energy decreases with higher coal rank. The PPR CZM model was able to accurately describe the size effect of mixed mode I/II fractures in coals.