New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with Applications

In this paper, based on the extreme eigenvalues of the matrices arisen from the given elasticity tensor, S-type upper bounds for the M-eigenvalues of elasticity tensors are established. Finally, S-type sufficient conditions are introduced for the strong ellipticity of elasticity tensors based on the...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021-12, Vol.2021, p.1-9
Main Authors: Zhang, Zhuanzhou, He, Jun, Liu, Yanmin, Ren, Zerong
Format: Article
Language:English
Subjects:
Algorithms
Eigenvalues
Elasticity
Ellipticity
Mathematical analysis
Mathematics
Tensors
Upper bounds
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Summary:In this paper, based on the extreme eigenvalues of the matrices arisen from the given elasticity tensor, S-type upper bounds for the M-eigenvalues of elasticity tensors are established. Finally, S-type sufficient conditions are introduced for the strong ellipticity of elasticity tensors based on the S-type M-eigenvalue inclusion sets.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/9742682