Higher-order inverse mass matrices for the explicit transient analysis of heterogeneous solids
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F24%3A00585736" target="_blank" >RIV/61388998:_____/24:00585736 - isvavai.cz</a>
Alternative codes found
RIV/71226401:_____/24:N0100936
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1002/nme.7457" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/nme.7457</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nme.7457" target="_blank" >10.1002/nme.7457</a>
Alternative languages
Result language
angličtina
Original language name
Higher-order inverse mass matrices for the explicit transient analysis of heterogeneous solids
Original language description
New methods are presented for the direct computation of higher-order inverse mass matrices (also called reciprocal mass matrices) that are used for explicit transient finite element analysis. The motivation of this work lies in the need of having appropriate sparse inverse mass matrices, which present the same structure as the consistent mass matrix, preserve the total mass, predict suitable frequency spectrum and dictate sufficiently large critical time step sizes. For an efficient evaluation of the reciprocal mass matrix, the projection matrix should be diagonal. This condition can be satisfied by adopting dual shape functions for the momentum field, generated from the same shape functions used for the displacement field. A theoretically consistent derivation of the inverse mass matrix is based on the three-field Hamilton principle and requires the projection matrix to be evaluated from the integral of these shape functions. Unfortunately, for higher-order FE shape functions and serendipity FE elements, the projection matrix is not positive definitive and can not be employed. Therefore, we study several lumping procedures for higher order reciprocal mass matrices considering their effect on total-mass preserving, frequency spectra and accuracy in explicit transient simulations. The article closes with several numerical examples showing suitability of the direct inverse mass matrix in dynamics.
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
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OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
<a href="/en/project/GA23-06220S" target="_blank" >GA23-06220S: Flexoelectric periodic structures for fluid transport and energy harvesting</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
International Journal for Numerical Methods in Engineering
ISSN
0029-5981
e-ISSN
1097-0207
Volume of the periodical
125
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
e7457
UT code for WoS article
001162858400001
EID of the result in the Scopus database
2-s2.0-85185680561