Start-up shear flows with tension-dissociation coupling

2 Start-up shear flows with tension-dissociation coupling 

For a shear flow, the equation for the time development of the active chains takes the form 

The formal solution of this equation with the initial condition f (r,0) = 1 can be written as 

j component of the stress as a function of time can then be calculated from the relation (9.39) [16] 

To study the short-term behavior, we find the solution in power series of time. The formal expansion of the exponential in (9.143) in powers of t leads to 

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