In this thesis, mechanical and elastic behaviour of anisotropic materials are inves-
tigated in order to understand the optimum mechanical behaviour of them in
selected directions. For an anisotropic material with known elastic constants, it
is possible to choose the best set of e¤ / ective elastic constants and e¤ / ective eigen-
values which determine the optimum mechanical and elastic properties of it and
also represent the material in a speci.ed greater material symmetry.
For this reason, bounds on the e¤ / ective elastic constants which are the best set
of elastic constants and e¤ / ective eigenvalues of materials have been constructed
symbollicaly for all anisotropic elastic symmetries by using Hill [4,13] approach.
Anisotropic Hooke.s law and its Kelvin inspired formulation are described and
generalized Hill inequalities are explained in detail. For di¤ / erent types of sym-
metries, materials were selected randomly and data of elastic constants for them
were collected. These data have been used to calculate bounds on the e¤ / ective
elastic constants and e¤ / ective eigenvalues.
Finally, by examining numerical results of bounds given in tables, it is seen that
the materials selected from the same symmetry type which have larger interval
between the bounds, are more anisotropic, whereas some materials which have
smaller interval between the bounds, are closer to isotropy.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/2/12609227/index.pdf |
| Date | 01 February 2008 |
| Creators | Dinckal, Cigdem |
| Contributors | Akgoz, Cevdet |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for METU campus |
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