Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Radial point interpolation method for plane elasticity problems
Download
index.pdf
Date
2010
Author
Yıldırım, Okan
Metadata
Show full item record
Item Usage Stats
79
views
28
downloads
Cite This
Meshfree methods have become strong alternatives to conventional numerical methods used in solid mechanics after significant progress in recent years. Radial point interpolation method (RPIM) is a meshfree method based on Galerkin formulation and constructs shape functions which enable easy imposition of essential boundary conditions. This thesis analyses plane elasticity problems using RPIM. A computer code implementing RPIM for the solution of plane elasticity problems is developed. Selected problems are solved and the effect of shape parameters on the accuracy of RPIM with and without polynomial terms added in the interpolation is studied. The optimal shape parameters are determined for plane elasticity problems.
Subject Keywords
Radial basis functions.
,
Meshfree methods (Numerical analysis)
URI
http://etd.lib.metu.edu.tr/upload/12612537/index.pdf
https://hdl.handle.net/11511/20160
Collections
Graduate School of Natural and Applied Sciences, Thesis
Suggestions
OpenMETU
Core
Meshless local Petrov-Galerkin method for plane elasticity problems
Erdayı, Deniz Can; Oral, Süha; Department of Mechanical Engineering (2014)
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. Resul...
Hygrothermal fracture analysis of fibrous composites with variable fiber spacing using JK-integral
Saeidi, Farid; Dağ, Serkan; Department of Mechanical Engineering (2013)
In this study, a Jk-integral based computational method will be developed to conduct fracture analysis of fibrous composite laminates that possess variable fiber spacing. This study will be carried out for the fibrous composites exposed to not only thermal but also hygroscopic boundary condition, which results hygrothermal load. Formulation of the Jk-integral will be carried out by using the constitutive relations of plane orthotropic hygrothermoelasticity. One of the most important challenges of this study...
Reliability-Based Stability Analysis of Rock Slopes Using Numerical Analysis and Response Surface Method
Dadashzadeh, N.; Düzgün, Hafize Şebnem; Yesiloglu-Gultekin, N. (2017-08-01)
While advanced numerical techniques in slope stability analysis are successfully used in deterministic studies, they have so far found limited use in probabilistic analyses due to their high computation cost. The first-order reliability method (FORM) is one of the most efficient probabilistic techniques to perform probabilistic stability analysis by considering the associated uncertainties in the analysis parameters. However, it is not possible to directly use FORM in numerical slope stability evaluations a...
Design optimization in chemically reacting flows
Yumuşak, M.; Eyi, Sinan (2011-12-01)
The objective of this study is to develop a reliable and efficient design tool that can be used in chemically reacting flows. The flow analysis is based on axisymmetric Euler and the finite rate chemical reaction equations. These coupled equations are solved by using Newton's method. Both numerical and analytical methods are used to calculate Jacobian matrices. Sensitivities are evaluated by using adjoint method. The performance of the optimization method is demonstrated for a rocket motor nozzle design. © ...
Multigrid methods for optimal control problems governed by convection-diffusion equations
Arslantaş, Özgün Murat; Karasözen, Bülent; Yücel, Hamdullah; Department of Scientific Computing (2015)
Linear-quadratic optimal control problems governed by partial differential equations proved themselves important through their use in many real life applications. In order to solve the large scale linear system of equations that results from optimality conditions of the optimization problem, efficient solvers are required. For this purpose, multigrid methods, with an ordering technique to deal with the dominating convection, can be good candidates. This thesis investigates an application of the multigrid me...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
O. Yıldırım, “Radial point interpolation method for plane elasticity problems,” M.S. - Master of Science, Middle East Technical University, 2010.
