dc.contributor.author |
Long, Craig S
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dc.contributor.author |
Loveday, Philip W
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dc.contributor.author |
Groenwold, AA
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dc.date.accessioned |
2009-11-02T13:43:42Z |
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dc.date.available |
2009-11-02T13:43:42Z |
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dc.date.issued |
2009-01 |
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dc.identifier.citation |
Long, CS, Loveday, PW and Groenwold AA. 2009. Effects of planar element formulation and numerical integration order on checkerboard material layouts. Structural and Multidisciplinary Optimization, Vol. 39(5), pp 487-501 |
en |
dc.identifier.issn |
1615-147X |
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dc.identifier.uri |
http://hdl.handle.net/10204/3709
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dc.identifier.uri |
https://link.springer.com/content/pdf/10.1007/s00158-008-0345-1.pdf
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dc.identifier.uri |
DOI 10.1007/s00158-008-0345-1
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dc.description |
Copyright: 2009 Springer-Verlag. This is the author's version of the work. It is posted here by permission of Springer-Verlag for your personal use. Not for redistribution. The definitive version was published in the journal, Structural and Multidisciplinary Optimization, Vol. 39(5), pp 487-501 |
en |
dc.description.abstract |
The effects of selected planar finite element formulations, and their associated integration schemes, on the stiffness of a checkerboard material layout are investigated. Standard 4-node bilinear elements, 8- and 9-node quadratic elements, as well as 4-node elements with drilling degrees of freedom are considered. Integration schemes evaluated include popular Gauss quadrature rules, as well as modified 5- and 8-point integration schemes. It is shown that, although checkerboarding may be slightly alleviated when using elements with drilling degrees of freedom, the homogenized checkerboard stiffness is identical to that of standard bilinear elements. This is significant since elements with drilling degrees of freedom are derived from an 8-node parent element. Researchers do however demonstrate that modified reduced integration schemes, applied to quadratic elements, effectively reduce the stiffness of a checkerboard material layout. Furthermore, the proposed schemes effectively suppress spurious zero energy modes which may occur on the element level in topology optimization. |
en |
dc.language.iso |
en |
en |
dc.publisher |
Springer -Verlag |
en |
dc.subject |
Planar finite element |
en |
dc.subject |
Checkerboard |
en |
dc.subject |
Homogenization |
en |
dc.subject |
Reduced integration |
en |
dc.subject |
Multidisciplinary optimization |
en |
dc.subject |
Bilinear elements |
en |
dc.subject |
Quadratic elements |
en |
dc.subject |
Gauss quadrature rules |
en |
dc.subject |
Topology optimization |
en |
dc.title |
Effects of planar element formulation and numerical integration order on checkerboard material layouts |
en |
dc.type |
Article |
en |
dc.identifier.apacitation |
Long, C. S., Loveday, P. W., & Groenwold, A. (2009). Effects of planar element formulation and numerical integration order on checkerboard material layouts. http://hdl.handle.net/10204/3709 |
en_ZA |
dc.identifier.chicagocitation |
Long, Craig S, Philip W Loveday, and AA Groenwold "Effects of planar element formulation and numerical integration order on checkerboard material layouts." (2009) http://hdl.handle.net/10204/3709 |
en_ZA |
dc.identifier.vancouvercitation |
Long CS, Loveday PW, Groenwold A. Effects of planar element formulation and numerical integration order on checkerboard material layouts. 2009; http://hdl.handle.net/10204/3709. |
en_ZA |
dc.identifier.ris |
TY - Article
AU - Long, Craig S
AU - Loveday, Philip W
AU - Groenwold, AA
AB - The effects of selected planar finite element formulations, and their associated integration schemes, on the stiffness of a checkerboard material layout are investigated. Standard 4-node bilinear elements, 8- and 9-node quadratic elements, as well as 4-node elements with drilling degrees of freedom are considered. Integration schemes evaluated include popular Gauss quadrature rules, as well as modified 5- and 8-point integration schemes. It is shown that, although checkerboarding may be slightly alleviated when using elements with drilling degrees of freedom, the homogenized checkerboard stiffness is identical to that of standard bilinear elements. This is significant since elements with drilling degrees of freedom are derived from an 8-node parent element. Researchers do however demonstrate that modified reduced integration schemes, applied to quadratic elements, effectively reduce the stiffness of a checkerboard material layout. Furthermore, the proposed schemes effectively suppress spurious zero energy modes which may occur on the element level in topology optimization.
DA - 2009-01
DB - ResearchSpace
DP - CSIR
KW - Planar finite element
KW - Checkerboard
KW - Homogenization
KW - Reduced integration
KW - Multidisciplinary optimization
KW - Bilinear elements
KW - Quadratic elements
KW - Gauss quadrature rules
KW - Topology optimization
LK - https://researchspace.csir.co.za
PY - 2009
SM - 1615-147X
T1 - Effects of planar element formulation and numerical integration order on checkerboard material layouts
TI - Effects of planar element formulation and numerical integration order on checkerboard material layouts
UR - http://hdl.handle.net/10204/3709
ER -
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en_ZA |