A tube fitting assembly includes a tube and first and second threaded fitting members with first and second lateral shoulders, respectively. A plurality of deformed areas, shown as two in number, are provided from the wall of the tube by axial compression. This establishes first and second beads with at least the second bead being an annular bead to cooperate with the second shoulder. When the two fitting members are threaded together, this axially compresses the plural beads so that a seal is formed between the second annular bead and the second shoulder on the second fitting member. The large extent to which the deformed areas may be axially compressed assures a good fluidtight seal despite the variable amount of torque applied to the fitting members. The foregoing abstract is merely a resume of one general application, is not a complete discussion of all principles of operation or applications, and is not to be construed as a limitation on the scope of the claimed subject matter.