An Investigation into the Solution of Three Dimensional Elastostatic Problems Using the Boundary Integral Technique

Author

David Campbell Aldrich, University of Central Florida

Keywords

Boundary value problems, Elastic solids

Abstract

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.

Notes

If this is your thesis or dissertation, and want to learn how to access it or for more information about readership statistics, contact us at STARS@ucf.edu

Graduation Date

Winter 1980

Advisor

Carroll, Wayne E.

Degree

Master of Science (M.S.)

College

College of Engineering

Format

PDF

Pages

151 p.

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0013288

Subjects

Boundary value problems, Elastic solids

STARS Citation

Aldrich, David Campbell, "An Investigation into the Solution of Three Dimensional Elastostatic Problems Using the Boundary Integral Technique" (1980). Retrospective Theses and Dissertations. 461.
https://stars.library.ucf.edu/rtd/461

Contributor (Linked data)

Carroll, Wayne E. (Wayne Edward), 1945- [VIAF]

Carroll, Wayne E. (Wayne Edward), 1945- [LC]

University of Central Florida. College of Engineering [VIAF]

University of Central Florida. College of Engineering [LC]

Collection (Linked data)

Retrospective Theses and Dissertations

Accessibility Status

Searchable text