Sharp Bounds on the Minimum <i>M</i>-Eigenvalue of Elasticity <i>M</i>-Tensors
The <i>M</i>-eigenvalue of elasticity <i>M</i>-tensors play important roles in nonlinear elastic material analysis. In this paper, we establish an upper bound and two sharp lower bounds for the minimum <i>M</i>-eigenvalue of elasticity <i>M</i>-tensors...
| 出版年: | Mathematics |
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| 主要な著者: | , , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
MDPI AG
2020-02-01
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| 主題: | |
| オンライン･アクセス: | https://www.mdpi.com/2227-7390/8/2/250 |
| 要約: | The <i>M</i>-eigenvalue of elasticity <i>M</i>-tensors play important roles in nonlinear elastic material analysis. In this paper, we establish an upper bound and two sharp lower bounds for the minimum <i>M</i>-eigenvalue of elasticity <i>M</i>-tensors without irreducible conditions, which improve some existing results. Numerical examples are proposed to verify the efficiency of the obtained results. |
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| ISSN: | 2227-7390 |