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

Autor: Zhuanzhou Zhang, Jun He, Yanmin Liu, Zerong Ren
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Mathematics, Vol 2021 (2021)
Druh dokumentu: article
ISSN: 2314-4785
DOI: 10.1155/2021/9742682
Popis: 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.
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