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International Journal for Numerical Methods in Engineering
Article . 2005 . Peer-reviewed
License: Wiley Online Library User Agreement
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2005
Data sources: zbMATH Open
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Integration of geometric design and mechanical analysis using B‐spline functions on surface

Integration of geometric design and mechanical analysis using B-spline functions on surface
Authors: Roh, Hee Yuel; Cho, Maenghyo;

Integration of geometric design and mechanical analysis using B‐spline functions on surface

Abstract

AbstractB‐spline finite element method which integrates geometric design and mechanical analysis of shell structures is presented. To link geometric design and analysis modules completely, the non‐periodic cubic B‐spline functions are used for the description of geometry and for the displacement interpolation function in the formulation of an isoparametric B‐spline finite element. Non‐periodic B‐spline functions satisfy Kronecker delta properties at the boundaries of domain intervals and allow the handling of the boundary conditions in a conventional finite element formulation. In addition, in this interpolation, interior supports such as nodes can be introduced in a conventional finite element formulation. In the formulation of the mechanical analysis of shells, a general tensor‐based shell element with geometrically exact surface representation is employed. In addition, assumed natural strain fields are proposed to alleviate the locking problems. Various numerical examples are provided to assess the performance of the present B‐spline finite element. Copyright © 2005 John Wiley & Sons, Ltd.

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Keywords

Finite element methods applied to problems in solid mechanics, B-spline function, assumed natural strain, shell finite element, geometric design, Shells, Numerical computation using splines

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Top 10%
Top 10%
Average
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