B-spline finite elements for plane elasticity problems

The finite element method since its development in the 1950’s has been used extensively in solving complex problems involving partial differential equations. The conventional finite element methods use piecewise Lagrange interpolation functions for approximating displacements. The aim of this research is to explore finite element analysis using B-spline interpolation. B-splines are piecewise defined polynomial curves which provide higher continuity of derivatives than piecewise Lagrange interpolation functions. This work focuses on the implementation and comparison of the B-spline finite elements in contrast with the conventional finite elements. This thesis observes that the use of B-spline interpolation functions can reduce the computational cost significantly. It is an efficient technique and can be conveniently implemented into the existing finite element programs.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Aerospace Engineering

Grantor dc:publisher

Texas A&M University

Year dc:date.issued

2007

Author dc:creator

• Aggarwal, Bhavya

Advisor dc:contributor.advisor

• Whitcomb, John D

Committee members dc:contributor.committeemember

• Haisler, Walter E
• Srinivasa,Arun

• Finite Elements
• B-spline
• Plane Elasticity

Language dc:language.iso

en_US

Handle dc:identifier.uri

https://hdl.handle.net/1969.1/4849

OAI record oai:identifier

https://oaktrust.library.tamu.edu/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Aoaktrust.library.tamu.edu%3A1969.1%2F4849