An enriched finite element method for general wave propagation problems using local element domain harmonic enrichment functions
IR@CMERI: CSIR- Central Mechanical Engineering Research Institute (CMERI), Durgapur
View Archive Info| Field | Value | |
| Title |
An enriched finite element method for general wave propagation problems using local element domain harmonic enrichment functions
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| Creator |
Kumar, Amit
Kapuria, Santosh |
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| Subject |
Finite element method
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| Description |
We present an enriched finite element (FE) formulation applicable for general wave propagation
problems in one- and two-dimensional domains, using local element domain spatial harmonic enrichment
functions which satisfy the partition of unity condition. It allows prescription of boundary conditions in the
same way as in the conventional FE method. The method is assessed for different classes of wave propagation
problems such as impact and high frequency-guided wave propagation in bars and plates, and surface and body
wave propagation in semi-infinite solid media for which the classical FE method either fails to yield accurate
results or is prohibitively expensive. It is shown that the present formulation gives accurate solutions to the
former and shows significant improvement in computational efficiency for the latter category of problems.
The performance is also assessed against other special FEs such as the spectral FE and a recently proposed
enriched FE with global harmonic basis functions.
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| Publisher |
Springer
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| Date |
2018-05-08
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| Type |
Article
PeerReviewed |
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| Identifier |
Kumar, Amit and Kapuria, Santosh (2018) An enriched finite element method for general wave propagation problems using local element domain harmonic enrichment functions. Archive of Applied Mechanics, 88 (9). pp. 1573-1594.
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| Relation |
http://cmeri.csircentral.net/522/
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