JSM 2004 - Toronto

Abstract #300151

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Activity Number: 32
Type: Invited
Date/Time: Sunday, August 8, 2004 : 4:00 PM to 5:50 PM
Sponsor: Statistical and Applied Mathematical Sciences Institute
Abstract - #300151
Title: Multiscale Analysis of High Performance Materials
Author(s): Ralph C. Smith*+ and Alan E. Gelfand
Companies: North Carolina State University and Duke University
Address: Department of Mathematics, Box 8205, Raleigh, NC, 27695,
Keywords: multiscale ; materials ; models ; controls ; hysteresis ; SAMSI
Abstract:

We discuss the SAMSI Program on Multiscale Model Development and Control Design for advanced materials. The focus of the program is the synergistic investigation of deterministic and stochastic issues related to model development, numerical approximation, and control design for piezoceramic, magnetic, shape memory alloy, and ionic polymer compounds to achieve unique design objectives. The modeling component focuses on the development of fundamental energy relations, stochastic homogenization techniques, and quantification of highly variable spatial and temporal scales to provide a framework for characterizing and designing advanced materials. Numerical techniques are developed with the dual goals of achieving the requisite accuracy while providing the efficiency necessary for real-time implementation. The control component focuses on the use of deterministic and stochastic analysis to quantify model and process uncertainties in a manner which facilitates robust control designs. Examples will be drawn from problems arising in deformable mirror design, artificial muscle development, tendon design to minimize earthquake damage, and atomic force microscopy.


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Revised March 2004