A review of temporal and spatial dispersions of linear and quadratic finite elements in linear elastic wave propagation problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F24%3A00597745" target="_blank" >RIV/61388998:_____/24:00597745 - isvavai.cz</a>
Alternative codes found
RIV/71226401:_____/24:N0100986
Result on the web
<a href="https://kirj.ee/proceedings-of-the-estonian-academy-of-sciences-publications/?filter%5Byear%5D=2024&filter%5Bissue%5D=1802&filter%5Bpublication%5D=16376&v=928568b84963" target="_blank" >https://kirj.ee/proceedings-of-the-estonian-academy-of-sciences-publications/?filter%5Byear%5D=2024&filter%5Bissue%5D=1802&filter%5Bpublication%5D=16376&v=928568b84963</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3176/proc.2024.3.11" target="_blank" >10.3176/proc.2024.3.11</a>
Alternative languages
Result language
angličtina
Original language name
A review of temporal and spatial dispersions of linear and quadratic finite elements in linear elastic wave propagation problems
Original language description
The dispersion behaviour of the finite element method, applied to the treatment of stress wave propagation tasks in an elastic solid continuum, is reviewed and complemented with the authors’ contributions in the field, along with substantial details of finite element technology. It is shown how finite element dispersion disqualifies to a certain extent the stress wave propagation modelling and, as such, cannot be completely eradicated. The paper, however, reveals the ways how the dispersion effect (actually, modelling errors) could be minimized. The effects of spatial and temporal dispersions of the finite element method are treated. 1D and 2D linear and quadratic finite elements and their suitability are analysed for use with implicit and explicit integration methods. Historical as well as new, up-to-date approaches are also reviewed. The paper closes with recommendations for values of mesh size and timestep size, mass matrices and direct time integrations with respect to dispersion errors in finite element modelling of elastic wave propagation problems in solids.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
<a href="/en/project/GC23-04676J" target="_blank" >GC23-04676J: Controllable gripping mechanics: Modelling, control and experiments</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the Estonian Academy of Sciences
ISSN
1736-6046
e-ISSN
1736-7530
Volume of the periodical
73
Issue of the periodical within the volume
3
Country of publishing house
EE - ESTONIA
Number of pages
38
Pages from-to
279-316
UT code for WoS article
001294430900002
EID of the result in the Scopus database
2-s2.0-85205133427