B-spline finite elements for plane elasticity problems

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dc.contributorWhitcomb, John D
dc.creatorAggarwal, Bhavya
dc.date.accessioned2007-04-25T20:10:12Z
dc.date.accessioned2017-04-07T19:52:52Z
dc.date.available2007-04-25T20:10:12Z
dc.date.available2017-04-07T19:52:52Z
dc.date.created2006-12
dc.date.issued2007-04-25
dc.description.abstractThe 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.
dc.identifier.urihttp://hdl.handle.net/1969.1/4849
dc.language.isoen_US
dc.publisherTexas A&M University
dc.subjectFinite Elements
dc.subjectB-spline
dc.subjectPlane Elasticity
dc.titleB-spline finite elements for plane elasticity problems
dc.typeBook
dc.typeThesis

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