CAJ | 학술논문

在非静水压力场中考虑应力释放的圆形隧道弹性解基础上，先利用对应性原理求解应力释放率λ为常数时隧道的黏弹性解。然后考虑到施工过程中应力逐步释放，隧道内壁(r=R0)处边界条件随开挖面和研究断面之间距离x变化，距离x取决于掘进速度v和时间t，从而边界条件可以表示为时间t的函数。采用斯蒂尔杰斯积分法将常应力释放率时黏弹性解中的λFi(t)(i=1～11)转换为Fi(t)对应力释放率导数dλ(t)的积分形式，可得非静水压力场中考虑应力释放的圆形隧道黏弹性解。该解在侧压系数k0=1时，可转化为静水压力场中考虑应力释放的黏弹性解；在λ=1时，可以转化为非静水压力场中不考虑应力释放的黏弹性解，所以后2种解均为非静水压力场中考虑引起释放圆形隧道黏弹性解的特例。考虑非静水压力场，求解边界条件能较好地反应工程实际中原岩应力分布；考虑应力释放能够反应隧道掘进过程中围岩应力及变形分布情况。故所提出的黏弹性解能够为隧道设计、施工阶段及长期变形及稳定性预测提供理论依据。
재비정수압력장중고필응력석방적원형수도탄성해기출상，선이용대응성원리구해응력석방솔λ위상수시수도적점탄성해。연후고필도시공과정중응력축보석방，수도내벽(r=R0)처변계조건수개알면화연구단면지간거리x변화，거리x취결우굴진속도v화시간t，종이변계조건가이표시위시간t적함수。채용사체이걸사적분법장상응력석방솔시점탄성해중적λFi(t)(i=1～11)전환위Fi(t)대응력석방솔도수dλ(t)적적분형식，가득비정수압력장중고필응력석방적원형수도점탄성해。해해재측압계수k0=1시，가전화위정수압력장중고필응력석방적점탄성해；재λ=1시，가이전화위비정수압력장중불고필응력석방적점탄성해，소이후2충해균위비정수압력장중고필인기석방원형수도점탄성해적특례。고필비정수압력장，구해변계조건능교호지반응공정실제중원암응력분포；고필응력석방능구반응수도굴진과정중위암응력급변형분포정황。고소제출적점탄성해능구위수도설계、시공계단급장기변형급은정성예측제공이론의거。
Firstly,taking use of the correspondence principle,the viscoelastic solution for the circular tunnel with constant ratio of stress release is obtained,based on the elastic solution of the circular tunnel under non-hydrostatic pressure. Then,the stress is released step by step during construction,and the boundary condition at the intrados will change along with the distance x between excavating face and the studred section. The distance x could be expressed as a function of excavation speed v and time t. so the boundary condition could be expressed as a function of time t and speed v. According to the Stieltjes integrals, the items ofλFi(t)(i=1-11) in the solution for constant ratio of stress release are replaced with the integrals of Fi(t) with respect to dλ(t). The solution for the circular tunnel under non-hydrostatic pressure considering the ratio of stress release could be obtained. When the ratio of horizontal pressure coefficients k0=1,the solution could be transformed into the viscoelastic solution for the circular tunnel under hydrostatic pressure considering the ratio of stress release. When the ratio of stress release λ=1,the solution will be transformed into the viscoelastic solution for the circular tunnel under non-hydrostatic pressure without considering the ratio of stress release. So the latter two solutions are special cases of the solution in the paper. The non-hydrostatic pressure assumption accords with the engineering practice,and the ratio of stress release indicates the effects of construction procedure on the stress and deformation of rock. The results could be a reference for the design and construction of tunnels.