CHEN Haoxiang, LI Jie, DENG Shuxin, WANG Derong, WANG Mingyang. A theoretically-modified method for calculating the volumetric stresses in passive confined pressure SHPB tests of granular materials[J]. Explosion And Shock Waves, 2022, 42(6): 064901. doi: 10.11883/bzycj-2021-0357
Citation:
CHEN Haoxiang, LI Jie, DENG Shuxin, WANG Derong, WANG Mingyang. A theoretically-modified method for calculating the volumetric stresses in passive confined pressure SHPB tests of granular materials[J]. Explosion And Shock Waves, 2022, 42(6): 064901. doi: 10.11883/bzycj-2021-0357
CHEN Haoxiang, LI Jie, DENG Shuxin, WANG Derong, WANG Mingyang. A theoretically-modified method for calculating the volumetric stresses in passive confined pressure SHPB tests of granular materials[J]. Explosion And Shock Waves, 2022, 42(6): 064901. doi: 10.11883/bzycj-2021-0357
Citation:
CHEN Haoxiang, LI Jie, DENG Shuxin, WANG Derong, WANG Mingyang. A theoretically-modified method for calculating the volumetric stresses in passive confined pressure SHPB tests of granular materials[J]. Explosion And Shock Waves, 2022, 42(6): 064901. doi: 10.11883/bzycj-2021-0357
The passive confined pressure SHPB (split Hopkinson pressure bar) test provides an efficient way to study the mechanical behaviors of granular materials at high strain rates (102 − 104 s−1) under the action of explosion and shock wave. In this study, aiming to overcome the disadvantages and demerits of design and calculations in the original passive confined pressure SHPB tests provided in previous works, which has been widely used to investigate the dynamical behaviors of granular materials, a rigid steel sleeve used to restrict the granular specimen is simplified as a circular cylindrical shell, instead of a thick-walled cylinder, subjected to band inner pressure. By using classical shell theory, the theoretical expressions are formulated for radial displacement and hoop strain of the steel sleeve, which contain the mechanical and geometrical parameters of inner pressure and rigid steel sleeve. The distributions of radial displacement and hoop strain along with the steel sleeve are also obtained, while the effects of dimensionless parameters (such as length, thickness, radius of steel sleeve and the width of inner pressure) on the calculation results are studied. Compared with the thick-walled cylinder theory, a modified coefficient k is proposed for estimating the stress states in granular specimens more accurately. To check the feasibility and validate the proposed modified theoretical method, the results derived from shell theory and hollow cylinder theory are compared with experimental and numerical results. It is noted that the shell theory gives better approximations than hollow cylinder theory, especially when d/L is much smaller than one; when the value of d/L approaches to one, the accuracy of two theories is both high, which could be accepted in engineering practices. Therefore, it is concluded that the modified theoretical method proposed in this study for estimating the stress state of specimen can serve as a reference in the passive confined pressure SHPB tests for granular materials.
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