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Objective rates: the two observers

The red arrows represent constant uniaxial tension attached to a rigidly rotating material block. Fixed global components change; components in the rotating material frame and the objective stress rate remain constant.

Standard observer · global axes

σxx1.00
σyy0.00
σzz0.00
σxy0.00
ordinary component rate σ̇ ≠ 0

Objective observer · material axes

σ′111.00
σ′220.00
σ′330.00
σ′120.00
Jaumann / corotational rate ∇σ = 0