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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9742682 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849473034099884032 |
|---|---|
| author | Zhuanzhou Zhang Jun He Yanmin Liu Zerong Ren |
| author_facet | Zhuanzhou Zhang Jun He Yanmin Liu Zerong Ren |
| author_sort | Zhuanzhou Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d9659d6555fc44c79466fc0915e34e7a |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d9659d6555fc44c79466fc0915e34e7a2025-08-20T03:24:17ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/9742682New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with ApplicationsZhuanzhou Zhang0Jun He1Yanmin Liu2Zerong Ren3School of MathematicsSchool of MathematicsSchool of MathematicsSchool of MathematicsIn 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.http://dx.doi.org/10.1155/2021/9742682 |
| spellingShingle | Zhuanzhou Zhang Jun He Yanmin Liu Zerong Ren New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with Applications Journal of Mathematics |
| title | New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with Applications |
| title_full | New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with Applications |
| title_fullStr | New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with Applications |
| title_full_unstemmed | New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with Applications |
| title_short | New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with Applications |
| title_sort | new s type bounds of m eigenvalues for elasticity tensors with applications |
| url | http://dx.doi.org/10.1155/2021/9742682 |
| work_keys_str_mv | AT zhuanzhouzhang newstypeboundsofmeigenvaluesforelasticitytensorswithapplications AT junhe newstypeboundsofmeigenvaluesforelasticitytensorswithapplications AT yanminliu newstypeboundsofmeigenvaluesforelasticitytensorswithapplications AT zerongren newstypeboundsofmeigenvaluesforelasticitytensorswithapplications |