Uniaxial kinematic strain

In Eq. (20), e(t) represents uniaxial kinematic strain at current time t, cr(t) is the Cauchy stress at time t is the elastic compliance and D (vl ) is a transient creep compliance function. The factor defines stress and temperature effects on elastic compliance and is a measure of state-dependent reduction (or increase) in stiffness, gQ = g ia, ). The transient (or creep) compliance factor g has similar meaning, operating on the creep compliance component. The factor g2 accounts for the influence of load rate on creep, and depends on stress and temperature. The function represents a reduced time-scale parameter defined by... 

Thus, H again serves the role of uniaxial incremental strain hardening modulus, as in (7.61). Finally, the consistency condition in the case of kinematic... 

Suppose that a thin film of elastic-plastic material bonded to an elastic substrate is subjected to temperature cycling, as in the example discussed in Section 7.5.2. Furthermore, suppose that the film material has precisely the same uniaxial stress-strain response under monotonic loading as does the material considered there. However, in the present context, the film is assumed to strain harden according to the kinematic hardening idealization. Under these circumstances of temperature cycling, with the conditions... 

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