Multiscale Strain Analysis

by Breitzman, Timothy Donald

Abstract (Summary)
The mathematical homogenization and corrector theory relevant to prestressed heterogeneous materials in the linear-elastic regime is discussed. A suitable corrector theory is derived to reconstruct the local strain field inside the composite. Based on this theory, we develop an inexpensive numerical method for multi scale strain analysis within a prestressed heterogeneous material. The theory also provides a characterization of the macroscopic strength domain. The strength domain places constraints on the homogenized strain field which guarantee that the actual strain in the heterogeneous material lies inside the strength domain of each material participating in the structure.
Bibliographical Information:

Advisor:Robert Perlis; Padmanabhan Sundar; Robert Lipton; Grover Waldrop; Lawrence Smolinsky; Ambar Sengupta; Stephen Shipman

School:Louisiana State University in Shreveport

School Location:USA - Louisiana

Source Type:Master's Thesis



Date of Publication:06/13/2005

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