Table 1 Deformation at five points, where the shear strain on slip systems, macroscopic shear strain γXY, and TD-rotation change are the values developed in a single cycle, not cumulated with ARB cycles.
Point | Cycle | Thickness position | Matrix band | γa1,a2 | γc3,d3 | \({{\boldsymbol{\Omega }}}_{{\bf{TD}}}^{{\bf{P}}}\) | Shear strain γXY (ΩTD) | TD-rotation change (\({{\boldsymbol{\Omega }}}_{{\bf{TD}}}^{{\bf{P}}}\)) | Relation |
|---|---|---|---|---|---|---|---|---|---|
Direction | \({{\boldsymbol{\Omega }}}_{{\bf{TD}}}={{\boldsymbol{\Omega }}}_{{\bf{TD}}}^{{\bf{P}}}+{{\boldsymbol{\Omega }}}_{{\bf{TD}}}^{\ast }\) | ||||||||
A1 | 1st | Upper surface | M1 | 1.2 | 0.28 | + | −0.47 | −2.7° | (−) = (+) + (−), \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{{\rm{P}}}|\) < \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{\ast }|\) |
B1 | 1st | Centre | M2a | 0.73 | 0.54 | + | −0.35 | 1.5° | (−) = (−) + (+), \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{{\rm{P}}}|\) > \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{\ast }|\) |
C1 | 1st | Lower surface | M2b | 0.48 | 0.79 | − | −0.038 | +5.2° | (−) = (−) + (+), \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{{\rm{P}}}|\) > \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{\ast }|\) |
C2 | 2nd | Lower surface | M2b | 0.44 | 0.88 | − | 0.048 | +3.7° | (+) = (−) + (+), \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{{\rm{P}}}|\) < \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{\ast }|\) |
C3 | 3rd | Centre | No | 0.9 | 0.4 | + | −0.33 | −5.3° | (−) = (+) + (−), \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{{\rm{P}}}|\) < \(|{{\boldsymbol{\Omega }}}_{{\rm{TD}}}^{\ast }|\) |
