Assessment of the Global-Local Generalized Finite Element Method Techniques Using a Heterogeneous Bar
Creators:Miller, T. J.
Generalized Finite Element Method
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Publisher:The Ohio State University
Series/Report no.:The Ohio State University. Department of Mechanical and Aerospace Engineering Honors Theses; 2020
This thesis examines the generalized finite element method (GFEM) applied to a heterogeneous bar using global-local techniques to explore limitations and benefits of GFEM and global-local techniques. Overall structural behaviour is captured in a global problem, while local problems are used to capture fine-scale heterogeneities to capture local structural responses on coarser global meshes. GFEM uses local solutions as enrichments to allow coarse meshes to capture fine-scale behaviors. These techniques are applied to a model heterogeneous bar to explore accuracy and efficiency. The results are then further extended to investigate the how the displacement solutions change when various techniques are used to improve local solutions or conditioning of the GFEM matrices.
Academic Major: Aeronautical and Astronautical Engineering
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