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An in-depth analysis of propagation characteristics of elasto-plastic combined stress waves in circular thin-walled tubes has been made. In obtaining the simple-wave solution, however,most researches have ignored the influence of the circumferential stressrelated to the radial inertial effect in the tubes. In this paper the incremental elasto-plastic constitutive relations which are convenient for dynamic numerical analysis are adopted, and the finite-difference method is used to study the evolution and propagation of elasto-plastic combined stress waves in a thin-walled tube with the radial inertial effect of the tube considered. The calculation results are compared with those obtained when the radial inertial effect is not considered. The calculation results show that the radial inertial effect of a tube has a fairly great influence on the propagation of elasto-plastic combined stress waves.