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Meshless local Petrov-Galerkin method for plane elasticity problems
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Date
2014
Author
Erdayı, Deniz Can
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In this research, Meshless Local Petrov-Galerkin Method (MLPG) has been used in order to solve problems of elasto-statics. Moving least squares approximation (MLS) has been used to construct trial function. MLS weight function has been selected as test function. Thus, method is so-called MLPG1. Cantilever beam problem has been solved with MLPG. Effect of integration and influence domain sizes have been investigated for infinite plate with circular hole problem. Optimal parameters have been determined. Results have been compared with exact solution.
Subject Keywords
Elasticity.
,
Galerkin methods.
,
Surfaces (Physics).
,
Least squares.
,
Meshfree methods (Numerical analysis).
URI
http://etd.lib.metu.edu.tr/upload/12616970/index.pdf
https://hdl.handle.net/11511/23353
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Graduate School of Natural and Applied Sciences, Thesis
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D. C. Erdayı, “Meshless local Petrov-Galerkin method for plane elasticity problems,” M.S. - Master of Science, Middle East Technical University, 2014.
