Seminar Event Detail

Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, November 21, 2014
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Multi-scale modeling from the top down

Abstract:   In this talk I would like to discuss methods of modeling microstructure formation on mesoscopic time scales. On mesoscopic length scales, sharp interface descriptions are often used to describe such phenomena. In this approach interfaces or domain walls are replaced with boundary conditions that are then coupled to equations used to describe bulk phenomena, such as diffusion. While such a description is quite useful it can be difficult to implement for a complex set of boundaries. To overcome this problem various methods, such as phase field modeling and the level set method, were developed to deal with the complex microstructures that emerge in everyday processes such as solidification.

While these approaches have many advantages it is often difficult to naturally incorporate atomistic features, such as dislocations, grain boundaries and crystalline anisotropy (particularly in polycrystalline materials), that can alter both microstructure formation and material properties. These features can be introduced (at a computational cost) by considering fields that vary on atomic length scales as is done in phase field crystal models. In this talk I would to discuss the connection between these different approaches and introduce the so-called amplitude approach which provides a natural bridge from phase field crystal to phase field models.


Speaker:  Ken Elder
Institution:  Oakland University

Event Organizer:     


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