Study on mechanical response and crack development law of tunnel

Considering the linear elastic fracture mechanics and complex function theory, considering the non hydrostatic pressure field, the stress solutions of lining and surrounding rock of deep buried circular underground cavern with lining under the action of external internal pressure are studied. The fracture mechanics model of underground cavern supporting structure is established, and the numerical verification is carried out. The analytical solution of circular pressure cavern with lining shows that when the internal pressure is 0, it can degenerate into the existing classical solution. The results of finite element calculation and analytical calculation show that the tensile stress of lining is very large at the vault and arch bottom under the action of strong external supporting force. The calculation shows that the cracks of lining will expand and open under the action of tensile stress, and the lining is in the shape of “flat duck egg”, However, if there is no through rupture, there will be great stress concentration at the top and bottom of the arch, and the tensile stress value is much larger than that calculated by elastic mechanics. Therefore, it is a good method to configure a certain amount of reinforcement to enhance the stiffness and tensile strength of the lining

Trait variation and functional diversity maintenance of understory herbaceous species coexisting along an elevational gradient in Yulong Mountain, Southwest China

Characterizing trait variation across different ecological scales in plant communities has been viewed as a way to gain insights into the mechanisms driving species coexistence. However, little is known about how changes in intraspecific and interspecific traits across sites influence species richness and community assembly, especially in understory herbaceous communities. Here we partitioned the variance of four functional traits (maximum height, leaf thickness, leaf area and specific leaf area) across four nested biological scales: individual, species, plot, and elevation to quantify the scale-dependent distributions of understory herbaceous trait variance. We also integrated the comparison of the trait variance ratios to null models to investigate the effects of different ecological processes on community assembly and functional diversity along a 1200-m elevational gradient in Yulong Mountain. We found interspecific trait variation was the main trait variation component for leaf traits, although intraspecific trait variation ranged from 10% to 28% of total variation. In particular, maximum height exhibited high plasticity, and intraspecific variation accounted for 44% of the total variation. Despite the fact that species composition varied across elevation and species richness decreased dramatically along the elevational gradient, there was little variance at our largest (elevation) scale in leaf traits and functional diversity remained constant along the elevational gradient, indicating that traits responded to smaller scale influences. External filtering was only observed at high elevations. However, strong internal filtering was detected along the entire elevational gradient in understory herbaceous communities, possibly due to competition. Our results provide evidence that species coexistence in understory herbaceous communities might be structured by differential niche-assembled processes. This approach –– integrating different biological scales of trait variation –– may provide a better understanding of the mechanisms involved in the structure of communities