An Investigation of the Indirect Boundary Element Method in One- and Two-Dimensional Elastostatics.
Abstract
This report presents a study of the indirect boundary element method and its potential advantages for solving one- and two-dimensional linear structural/stress analysis problems. The theoretical formulation of the indirect boundary element method is illustrated first by developing the framework of one-dimensional beams resting on elastic foundations, and then extending the same concept to the framework of two-dimensional plane stress or plane strain elastostatics. Computer programs were written both in BASIC and FORTRAN that numerically implement the theoretical application is written in FORTRAN. Accuracy of the indirect boundary element solution is assessed through comparison with theoretical solutions and with solutions from the alternative, direct boundary element method. With regard to edge effects, the implementation that was available for comparison. The results pertaining to the accuracy of the indirect boundary element method to correctly capture stress gradients were very encouraging, even for the constant stress elements employed. The results suggest that the method may be a very economical analysis tool for determining stress concentration factors in elastostatics. Because the necessary input data requirements are less and smaller matrices result, the boundary element methods are more suited to small computers, thus enhancing the use of the methods as effective stress analysis tools. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1983
- Accession Number
- ADA133142
Entities
People
- J. V. Cox
- T. A. Shugar
Organizations
- Naval Facilities Engineering Service Center