Tuesday, May 13

8:30 AM-9:15 AM
Chair: Richard D. James, University of Minnesota, Minneapolis
Peale C Room

Modeling Materials with Microstructure Using Energy Minimization

Many interesting properties of modern materials can be traced to structures or patterns that form spontaneously at length scales that are large compared to atomic sizes but small compared to typical specimen sizes. Martensitic microstructure in shape-memory alloys and domain patterns in ferroelectrics are two such examples. These materials possess multiple ground states, often as a result of a symmetry breaking transformation. Models based on energy minimization with nonconvex energies which possess multiple wells have been successful in studying these problems and may be used to generate ideas for developing improved materials. The speaker will outline the main ideas, discuss the successes and failures with some selected examples, and point out open problems.

Kaushik Bhattacharya
Division of Engineering and Applied Science, California Institute of Technology

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MMD, 12/17/96