The boundary integral technique was implemented in a computer code for the general static analysis of three dimensional elastic solids. The was based on a formulation of the problem in which the governing boundary equation is developed from the known solution to Kelvin's problem, by the application of Betti's reciprocal relationship. Modeling the boundary of the region being analyzed with plane elements and assuming the tractions and displacements constant across these elements leads to a set of simultaneous algebraic equations approximating the boundary integral equation. Numerical techniques are used in the computer code to assemble and solve this set of equations. The operation of this code was demonstrated by the solution of several example problems. The results of these problems show the code to be successful. It's practical application however is limited due to the large solution time required. This time would be significantly reduced if a more efficient equation solver were employed. The time requirement could be a severe limitation when a relatively large number of elements is needed to model displacement gradients. The development of an element based on linear or higher order variation of displacements would greatly reduce the required mesh size in this case and thus the solution time.
| Identifer | oai:union.ndltd.org:ucf.edu/oai:stars.library.ucf.edu:rtd-1460 |
| Date | 01 January 1980 |
| Creators | Aldrich, David Campbell |
| Publisher | University of Central Florida |
| Source Sets | University of Central Florida |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Retrospective Theses and Dissertations |
| Rights | Public Domain |
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