隧道复合式衬砌防水层破坏特性的里兹法分析

Damage analysis of waterproof layer in composite lining of tunnels based on Ritz method

为了分析公路隧道防水层渗漏水产生的原因,应用平板大挠度理论中的里兹法,对隧道复合式衬砌防水层中的防水板在混凝土基体缺陷与水压力作用下的破坏特性进行研究,建立了长方形与椭圆形混凝土缺陷下防水板中心挠度公式与板内应力-应变计算公式,采用第一强度理论推导了防水板的临界深度及临界荷载.研究结果表明,防水板最大主应力在混凝土长方形基体缺陷下出现在长边中点,在椭圆形基体缺陷下出现在中心位置,防水板的破坏与混凝土基体缺陷的具体尺寸有关.研究结果将为选择合适的防水板,设计合理的防水设计方案,研究防水板的施工新工艺提供重要的参考依据.

The damage properties of waterproof board in composite lining of tunnel with concrete matrix defects under water pressure were investigated with Ritz method in the large deflection plate theory to analyze the generation of water leaking in highway tunnels. The center deformation, stress and strain of waterproof board were formularized in rectangular and elliptic boundary conditions due to concrete matrix defects. The first strength theory was introduced to calculate the critical depth and the critical load of waterproof board. Analysis shows that the maximum principal stress appears at the middle of longer side in rectangular boundary conditions and at the center in elliptic boundary conditions. This work correlates the failure of waterproof board with the geometric size of concrete matrix defects and would support the choosing, designing and investigating of new construction technology of waterproof board.