Direct boundary element analysis of anisotropic solids and porous materials.
Committee ChairContractor, Dinshaw N.
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PublisherThe University of Arizona.
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AbstractThe main objective of this dissertation is to investigate the application of the boundary element methods (BEM) to problems with anisotropic material properties in the areas of transient flow, elastostatics, and soil consolidation. The resulting BEM formulations represent a major contribution for this class of problems which has not received much of the researchers' attention. The BEM formulations developed are entirely in terms of boundary quantities which reduces the dimensionality of the problem by one. This advantage makes the BEM an attractive alternative to the more popular domain-based techniques, such as finite element and finite difference methods for this category of problems. This gives researchers and engineers a wider range of numerical analysis tools to consider when investigating a problem in the field. The above mentioned formulations have been implemented in two computer programs, TRANSBE and EL10, which can be used for transient flow and elastic analysis of bodies with anisotropic material properties. Also, a new approach, based on these two programs, is presented to perform consolidation analysis in soils with anisotropy in both elastic and flow properties. Finally, a number of problems, which cover the three areas of interest, are solved in order to verify the effectiveness and accuracy of the developed computer programs.
Degree ProgramCivil Engineering and Engineering Mechanics