摘要
利用Darcy渗透定律,通过引入衬砌和土体的相对渗透系数,建立了隧洞边界部分透水条件。将土骨架视为具有分数导数粘弹性本构关系的粘弹性体,基于Biot理论,通过界面连续性条件在频率域内给出了简谐轴对称荷载或流体压力作用下饱和粘弹性土-弹性衬砌系统耦合振动时饱和土、衬砌的位移、应力、孔隙水压力表达式,并通过算例分别考察了简谐轴对称荷载、流体压力作用下的分数导数阶数、材料参数比、渗透系数对系统的径向位移幅值U、孔隙水压力幅值P的影响,结果表明:随着分数导数阶数和材料参数比的增加,系统的响应幅值逐渐减小;随着渗透系数κ的增加,轴对称荷载作用下的土体位移幅值和孔隙水压力幅值逐渐减小,当κ大于100时,U和P值无明显变化,流体压力作用下的土体位移幅值和孔隙水压力幅值逐渐增大,当κ大于1时,U和P值无明显变化。
Based on Darcy law,the partial permeable conditions on the boundary of tunnel are established by introducing the relative permeability coefficient of lining and soil.The soil skeleton is treated as a viscoelastic medium with fractional derivative constitutive relations.Based on Biot’s theory,the expressions of displacement,stress and pore water pressure for coupled vibrations of saturated viscoelastic soil and elastic lining system subjected to harmonic axisymmetric load or fluid pressure are given in frequency domain by the continuity conditions at the interface between lining and soil.Influences of the order of fractional derivative,materials parameters and permeability coefficient on the amplitudes of the displacement and pore water pressure of soil are investigated.It is shown that the amplitudes of the displacement and pore water pressure of soil are gradually decrease for harmonic axisymmetric load with permeability coefficient increasing,but the ones for fluid pressure are gradually increase.The response amplitudes of system are gradually decreased with the order and materials parameters increasing.
出处
《应用力学学报》
CAS
CSCD
北大核心
2013年第4期557-562,647-648,共6页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(10872124)
浙江省教育厅科研项目(Y201225355)
浙江省自然科学基金(LY12E09006)
关键词
隧道工程
渗透系数
分数导数本构
饱和粘弹性土
动力相互作用
tunneling engineering
permeability coefficient
fractional derivative type
saturated viscoelastic soil
interaction.
