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Abstract The concrete lining has viscoelastic properties, none of previous classic Kelvin model, theory of elastic and shell can describe the whole process of its creep. Based on saturated porous medium theory, the steady state dynamic responses of a partial sealed tunnel with fractional derivative type viscoelastic lining in saturated viscoelastic soil are investigated in the frequency domain subject to the axisymmetric radial traction and interior water pressure. On the basis of introducing a partial permeable boundary condition, the analytical solutions of stress, displacement and pore pressure of the lining and saturated soil are respectively obtained by the inner boundary of the lining and continuity conditions of the interface, besides, the stress and displacement constitutive behavior of the lining is described by fractional derivative viscoelastic constitutive model. The influences of the order of fractional derivative, the material parameter of the lining, relative permeability coefficient on the dynamic characteristics of the system are examined.. It is shown that the order of fractional derivative has a greater influence on the system dynamic responses, and it depends on material parameter of the lining. In addition, relative permeability coefficient has significant effects on the system responses.
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Received: 24 June 2011
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2012, Vol. 33 
