We develop a continuum theory for thermoelectric bodies following the framework of continuum mechanics and conforming to general principles of thermodynamics. For steady states, the governing equations for local fields are intrinsically nonlinear. However, under conditions of small variations of electrochemical potential, temperature and their g...
Creator:
Liu, Liping (Rutgers, The State University Of New Jersey)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
To improve materials design, it is important to understand the influence ofmicrostructure on the physical properties of a material. Very often, it is the nucleation process that dictates the microstructure. We present some recentjoint works with colleagues at Penn State on the computational studies of criticalnuclei morphology, growth and coarse...
Creator:
Du, Qiang (The Pennsylvania State University)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A body of literature has developed concerning "cloaking by anomalous localized resonance". The mathematical heart of the matter involves the behavior of a divergence-form elliptic equation in the plane, ˆ‡ · (a(x)ˆ‡u(x)) = f(x). The complex-valued coefficient has a matrix-shell-core geometry, with real part equal to 1 in the matrix and the core,...
Creator:
Lu, Jianfeng (Duke University)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A brief historical review of various chemistries that have been used in batteries for automotive applications will be provided. This will be followed by an overview of Ford's electrification strategy and our research and advanced engineering efforts. Next, the material components of lithium-ion cells and modeling of these electrochemical energy ...
Creator:
Chandrasekaran, Rajeswari (Ford Motor Company)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A quantitative description of defected materials at the mesoscaleis emerging that is based on traditional order parameter descriptions ofthe material, coupled with appropriate kinetic equations. We summarizethe salient aspects of the methodology, including static and dynamicproperties of grain boundaries, and the introduction of reversible degre...
Creator:
Viñals, Jorge (University of Minnesota, Twin Cities)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cohesive granular materials are known for their pressure-dependent strain softening behavior that is intimately linked to their microstructure and grain interactions. To understand the relationship of mechanical properties, composition and structure of these materials, we have been developing continuum theories utilizing higher displacement grad...
Creator:
Misra, Anil (University of Kansas)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We present a novel energy formulation for the microstructured networks that develop when functionalized polymers interact with solvent. Such materialsfind widespread use in energy conversion and storage devices: PEM fuel cells, Dye-sensitized solar cells, Lithium-ion batteries. The formulation balances the favorable electrostatic interaction of ...
Creator:
Promislow, Keith (Michigan State University)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Gao, Da (University of Minnesota, Twin Cities); Saad, Yousef (University of Minnesota, Twin Cities); Schultz, Peter A. (Sandia National Laboratories); Tadmor, Ellad B (University of Minnesota, Twin Cities); Tandia, Adama (Corning Incorporated)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The MGI focuses on restructuring, coordinating and, in some degree, reinventing the multiple stages of materials research, by focusing in the underlying science and mathematics. One question the panel will discuss is how these efforts may help improve education, with a goal of optimally preparing students for high tech jobs. Panel participants w...
Creator:
Burns, Timothy (National Institute of Standards and Technology); Emelianenko, Maria (George Mason University); Padron, Victor (Normandale Community College); Tandia, Adama (Corning Incorporated)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
First-principles codes can nowadays provide hundreds of high-fidelity enthalpies on thousands of alloy systems with a modest investment of a few tens of millions of CPU hours. But a mere database of enthalpies provides only the starting point for uncovering the 'alloy genome.' What one needs to fundamentally change alloy discovery and design are...
Creator:
Hart, Gus (Brigham Young University)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.