I want to fit the creep and recovery plot for Silicon elastomer. I am not sure which model should work the best. The objective is to find recovery % and time for the sample after creep.
Structured fluids are complexes to fully understand just in creep-recovery. You can fit the recovery part with an exponential to exctract a characteristic time.
For the creep part, it depend on the history of your sample. You need to start every time from the same hystory (ex : 10Pa for 10 sec then your creep). You need to wait way more time than on your graph for the creep. Indeed, you'll reach a plateau and that will give you kind of characteristic deformation.
Because of the fact that your sample is a polymer you should probably not look to much on concrete and other suspension method. Use polymer rheology in which you have characteristic time and glass transition etc....
Best regards,
Duncan GILBERT
Just a quick correction, in the creep part you'll reach a plateau only if at this stress you are under the yield stress. If not you'll just creep with a certain constant slope which will be your characteristic of your viscosity at this stress.
It depends on what we want to achieve. If we only want to archive the data, it is enough to use two functions: one increasing and one decreasing, without inflection points meeting the boundary conditions. It will be completely different when we want to take into account the physical meaning of both phenomena. Then it's best to use mechanical models. In the extreme situation, when the number of Maxwell or Kelvin-Voigt elements tends to infinity, we get two integral equations. Solving them, and, inter alia, determining the spectra of characteristic times (ill-posed inverse problem) requires the use of an algorithm based on the Tikhonov regularization parameter.
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