Abstract A semi-analytical solution for dynamic stress concentration factors(DSCF) of underground lined cavity in half-space for incident plane SH waves is presented using wave functions expansion method combined with boundary discrete method. The cavity is with circular inner wall and arbitrary-shape outer wall of the lining. The Monte Carlo method is also used to randomly generate 30 samples of variation coefficient of 0.05 for outer-wall shape of lining,and the effect of outer-wall shape variation of lining on DSCF peak values are studied by statistical analysis. It is shown that,the outer-wall shape variation of lining has significant effect on the inner-wall DSCF peak values,with larger effect for flexible lining than stiff lining. The maxima of DSCF peak values for flexible and stiff lining are increased by 178.15% and 31.98%,respectively,compared with the case of a completely circular linings. The variation coefficients of DSCF peal values for flexible and stiff lining can be up to 9.84 and 2.57 times of those of outer-wall radius of the lining.
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