Abstract
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.
Highlights
The theoretical research on underground circular tunnel excavation and support started from the famous Fenner formula [1] and Kastner formula [2], and these classical solutions have still been extensively applied so far
Wang and Li [6] derived a new elastic-plastic solution to the lined circular pressure tunnel under the hydrostatic pressure field, and this solution, which considered the release of ground stress and time sequence of lining installation, could be reduced to classical solutions like Fenner and Kirsch
As for the theoretical derivation in this study, it was assumed that the underground cavern was under the nonhydrostatic pressure field, the effect of high pressure inside the cavern was taken into account, the stress solutions to the lining and surrounding rock in the lined underground circular cavern were derived, followed by the finite element verification
Summary
The theoretical research on underground circular tunnel excavation and support started from the famous Fenner formula [1] and Kastner formula [2], and these classical solutions have still been extensively applied so far. As for the theoretical derivation in this study, it was assumed that the underground cavern was under the nonhydrostatic pressure field, the effect of high pressure inside the cavern was taken into account, the stress solutions to the lining and surrounding rock in the lined underground circular cavern were derived, followed by the finite element verification. On this basis, a numerical model of lining cracking and crack propagation under the action of internal pressure was established through the extended finite element method
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