| Type of Document |
Master's Thesis |
| Author |
Iaccarino, Gianni Luca
|
| Author's Email Address |
giaccari@vt.edu |
| URN |
etd-09212006-162913 |
| Title |
Analytical Solution of two Traction-Value Problems in Second-Order Elasticity with Live Loads |
| Degree |
Master of Science |
| Department |
Engineering Science and Mechanics |
| Advisory Committee |
| Advisor Name |
Title |
| Romesh C. Batra |
Committee Chair |
| Edmund G. Henneke |
Committee Member |
| Surot Thangjitham |
Committee Member |
|
| Keywords |
- traction-value problems
- constitutive constants
- live loads
- Signorini's Method
- Nonlinear Elastostatics
|
| Date of Defense |
2006-08-29 |
| Availability |
unrestricted |
Abstract
We present a generalization of Signorini's method to the case of live loads which allows us to derive approximate solutions to some pure traction-value problems in finite elastostatics. The boundary-value problems and the corresponding compatibility conditions are formulated in order to determine the displacement of the system up to the second-order of approximation. In particular, we consider the case of homogeneous and isotropic elastic bodies and we solve the following two traction-value problems with live loads:(i) a sphere subjected to the action of a uniform pressure field;(ii)a hollow circular cylinder whose inner and outer surfaces are subjected to uniform pressures. Then, starting from these solutions, we suggest experiments to determine the second-order constitutive constants of the elastic body. Expressions of the second-order material constants in terms of displacements and Lame' coefficients are determined.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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56K Modem |
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tesimod.pdf |
398.81 Kb |
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