摘要
假设瞬态荷载沿隧道方向按指数衰减,建立非饱和介质中圆柱形衬砌隧道受到内源爆炸荷载作用时衬砌隧道及周围非饱和介质计算模型。基于多孔介质混合物理论和连续介质力学理论,推导爆炸荷载作用下衬砌结构及周围非饱和土的控制方程,运用Laplace及Fourier变换求得隧道衬砌及周围土体在频域-波域内的解析解答,研究内源爆炸作用下饱和度对衬砌结构动力响应的影响。计算结果表明:饱和度对衬砌内表面径向位移影响较大,在轴向上,随着饱和度由0.15增至0.98,爆源处的径向位移值升高约28%;衬砌内表面径向应力随时间变化受饱和度的影响不明显;衬砌内表面环向应力幅值随饱和度的增大而增大,且达到幅值所用的时间逐渐延迟。在轴向上,随着饱和度由0.15增至0.98,爆源处环向应力升高约29%。
A three-dimensional calculation model of a cylindrical lined tunnel and the surrounding unsaturated soil is established to analyze the response to internal explosion load by assuming that the transient load decays exponentially along the direction of the tunnel.The governing equations of lining structure and surrounding unsaturated soil under blasting load are derived based on the theory of porous media mixture and continuum mechanics.The analytical solutions of tunnel lining and surrounding unsaturated soil in frequency domain and wave domain are obtained by using Laplace and Fourier transform.The effect of saturation on the dynamic response of lining structure under the action of endogenous explosion is considered.The results indicate that the saturation has a substantial effect on the radial displacement of the inner surface of the lining.As saturation increases from 0.15 to 0.98,the radial displacement at the explosion source increases by about 28%in the axial direction.The variation of radial stress on the inner surface of lining with time is not significantly affected by saturation.The crest value of lining’s circumferential stress expands with increasing saturation and the time to achieve the apex is gradually postponed.In the axial direction,as the saturation increases from 0.15 to 0.98,the circumferential stress at the explosion source increases by about 29%.
作者
王滢
赵彩清
王海萍
WANG Ying;ZHAO Cai-qing;WANG Hai-ping(Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation,Shandong University of Science and Technology,Qingdao,Shandong 266590,China;School of Civil Engineering and Architecture,Shandong University of Science and Technology,Qingdao,Shandong 266590,China)
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2024年第4期1026-1038,共13页
Rock and Soil Mechanics
基金
山东自然科学基金(No.ZR2023ME055)。
