Date of Award

May 2020

Document Type


Degree Name

Master of Science (MS)


Mathematical Sciences

Committee Member

Margaret M Wiecek

Committee Member

Marek W Urban


Continuous interests in developing self-healable polymers are driven by the desire to extend life spans of existing functional materials. Combining mathematical modeling and optimization approaches with experimental studies, an ultimate aim is to predict the flow and macroscopic wound closures in polymeric materials. Corresponding numerical simulations to experimental results are presented, utilizing two mathematical models that describe bulk or layer flow. An optimization routine for this self-healing process is described and implemented using two different approaches, competitive with each other with respect to accuracy. Finally a multi-layer model is simulated to show the flow profile of multiple layers rather than a single surface one.



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