I am currently doing some work on sub-Tg physical ageing of polymers, and doing my modeling using the TNM framework.
I have been successful in implementing the TNM model in the non-isothermal case, but I am struggling to implement the isothermal case (see attached -. Eq. 4 from Journal of Non-Crystalline Solids, 378 (2013) 186-195). The issue that I am having trouble understanding is how the Tf evolves during this isothermal step - because this is isothermal, won't the summation of "delta T_j" multiplied by the nested summation (relaxation term) always equal to zero, given that delta T during an isotherm is equal to zero?
I am implementing the model in Matlab. If anyone could give me some insight here and help point me in the right direction, I would be extremely grateful!
Your query may be followed by : https://iopscience.iop.org/article/10.1088/1757-899X/547/1/012036/pdf
https://books.google.com.au/books?id=ueX1mpDpXTMC&pg=PA87&lpg=PA87&dq=isothermal+annealing+in+tnm+models&source=bl&ots=5r9mS6CxLX&sig=ACfU3U1vfEtumRqI4eVqb0hGXv4tUf6VqA&hl=en&sa=X&ved=2ahUKEwiP4PqmgZ7nAhWkxTgGHeD3DCEQ6AEwAXoECAwQAQ#v=onepage&q=isothermal%20annealing%20in%20tnm%20models&f=false
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