Spectral Classification of Non-Coaxiality for Two-Dimensional Incremental Stress-Strain Response
Table 2
Coupled spectral classification of incremental non-coaxiality.
&
, complex
Properties of () and
()
&
SICβ=β4 stable
SICβ=β2 stable
No possibility
SICβ=βUICβ=β0 stable
&
SICβ=β4 stable
SIC stable
No possibility
SICβ=βUICβ=β0 stable
&
No possibility
UICβ=β4 unstable
UICβ=β2 unstable
No possibility
SICβ=βUICβ=β0 unstable
&
No possibility
UICβ=β4 unstable
UIC unstable
No possibility
SICβ=βUICβ=β0 unstable
&
SICβ=β4 partially stable
SICβ=β2 partially stable
UICβ=β4 partially stable
UICβ=β2 partially stable
SICβ=βUICβ=β2 partially stable
SICβ=βUICβ=β0 partially stable
No possibility
SICβ=βUICβ=β0 Stable-Unstable Transition
SICβ=βUICβ=β0 partially stable
SICβ=βUICβ=β0 partially stable
SIC = : number of directions with identical direction of incremental stress and deviator strain, (SIC alone means that incremental stress and deviator strain have identical direction). UIC = : number of directions with opposite direction of incremental stress and deviator strain, (UIC alone means that all incremental stress and deviator strain have opposite direction). Stable-Unstable Transition: ; stable: ; unstable: ; partially stable: .