Inverse Homogenization - Recovery of the structure of composite materials

Applied Analysis Seminar

Meeting Details

For more information about this meeting, contact Leonid Berlyand.

Speaker: Elena Cherkaev, University of Utah

Abstract: The talk deals with inverse homogenization problem which is a problem of deriving information about the microgeometry of composite material from its effective properties. The approach is based on reconstruction of the spectral measure in the analytic Stieltjes representation of the effective tensor of two-component composite. This representation relates the n-point correlation functions of the microstructure to the moments of the spectral measure, which contains all information about the microgeometry. The problem of identification of the spectral function from effective measurements in an interval of frequency has a unique solution, however the problem is ill-posed. The talk discusses several stabilization techniques and Pade approximations that could be used for reconstruction of the spectral function. The reconstructed spectral function can be used to recover microstructural parameters and to compute other effective properties of the same composite.

Room Reservation Information

Room Number: 106 McAllister

Date: 03/18/2008

Time: 4:00pm - 5:00pm