Identifier
etd-06112005-183452
Degree
Doctor of Philosophy (PhD)
Department
Mathematics
Document Type
Dissertation
Abstract
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.
Date
2005
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Recommended Citation
Breitzman, Timothy Donald, "Multiscale strain analysis" (2005). LSU Doctoral Dissertations. 3759.
https://repository.lsu.edu/gradschool_dissertations/3759
Committee Chair
Robert Lipton
DOI
10.31390/gradschool_dissertations.3759