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Note that in our modeling approach, the hydrostatic component of the stress is handled separately and linearly, see eq 2, and hence, we require the full component of each ROLIEPOLY stress rck to be zero with no applied load. That is why we subtract the identity tensor from Tk in eq 11 before multiplication with Ge. Also, since we are attributing only the deviatoric part of the stress to the RP terms, for each mode, Sck is taken to be the deviatoric part of rck
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Note that in our modeling approach, the hydrostatic component of the stress is handled separately and linearly, see eq 2, and hence, we require the full component of each ROLIEPOLY stress rck to be zero with no applied load. That is why we subtract the identity tensor from Tk in eq 11 before multiplication with Ge. Also, since we are attributing only the deviatoric part of the stress to the RP terms, for each mode, Sck is taken to be the deviatoric part of rck.
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It has been recognized in the literature that although cm 1/4 1 can produce marginally more precise fits to the linear rheological experimental data, a value of cm 1/4 0.1 is more consistent with nonlinear rheology and generally thought to be more realistic. The parameter is connected with convective constraint release, a mechanism which is not dominant in the linear regime. For our purposes, the main consequence of a change in cm is in the value of Me that is obtained from the optimization. For example, a value of cm 1/4 0.1 leads to parameters Ge 1/4 318 kPa, Me 1/4 13.1 kg/mol, and se 1/4 0.000714 s at the reference temperature T* 1/4 170-C. The quality of the fit to the linear data is marginally worse. A change in the value of Me subsequently leads to a change in the value of kmax through eq 14. We are not in a position to be able to use the present experimental data to identify the correct value of kmax, and hence indirectly of Me and cm, and therefore, we proceed with cm 1/4 1.
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