Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F13%3A00395253" target="_blank" >RIV/61388998:_____/13:00395253 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/nme.4539" target="_blank" >http://dx.doi.org/10.1002/nme.4539</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nme.4539" target="_blank" >10.1002/nme.4539</a>
Alternative languages
Result language
angličtina
Original language name
Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics
Original language description
The spatial discretisation of a continuum by the FEM introduces dispersion errors to the numerical solution of stress wave propagation. When the propagating phenomena are modelled by the FEM, the speed of a single harmonic wave depends on its frequency.With higher order finite elements, there are optical modes in the spectrum resulting in spurious oscillations of stress and velocity distributions near the sharp wavefronts. For reliable numerical solutions by the FEM, the dispersion errors should be analysed and determined. The dispersion properties of a plane square biquadratic serendipity finite element are examined and compared with a bilinear one. Dispersion analysis is carried out for the consistent and lumped mass matrices. A dispersive improved?lumped mass matrix for biquadratic serendipity elements is proposed. The paper closes with the recommendation of a choice of permissible dimensionless wavelengths for bilinear and biquadratic serendipity finite element meshes.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BI - Acoustics and oscillation
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal for Numerical Methods in Engineering
ISSN
0029-5981
e-ISSN
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Volume of the periodical
96
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
28
Pages from-to
1-28
UT code for WoS article
000323887400001
EID of the result in the Scopus database
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