| Type of Document |
Dissertation |
| Author |
Breitzman, Timothy Donald
|
| Author's Email Address |
tbreitz@math.lsu.edu |
| URN |
etd-06112005-183452 |
| Title |
Multiscale Strain Analysis |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Robert Lipton |
Committee Chair |
| Ambar Sengupta |
Committee Member |
| Lawrence Smolinsky |
Committee Member |
| Padmanabhan Sundar |
Committee Member |
| Robert Perlis |
Committee Member |
| Stephen Shipman |
Committee Member |
| Grover Waldrop |
Dean's Representative |
|
| Keywords |
- fiber reinforced composite
- homogenization
- corrector theory
- prestress
- multi scale analysis
|
| Date of Defense |
2005-05-04 |
| Availability |
unrestricted |
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.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Breitzman_dis.pdf |
10.91 Mb |
00:50:31 |
00:25:58 |
00:22:44 |
00:11:22 |
00:00:58 |
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