SHARP BOUNDS ON THE MINIMUM <i>M</i>-EIGENVALUE OF ELASTICITY <i>Z</i>-TENSORS

Gang Wang; Linxuan Sun; Xueyong Wang

doi:10.11948/20200344

2021 Volume 11 Issue 4

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Gang Wang, Linxuan Sun, Xueyong Wang. SHARP BOUNDS ON THE MINIMUM M-EIGENVALUE OF ELASTICITY Z-TENSORS[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 2114-2130. doi: 10.11948/20200344

Citation:

Gang Wang, Linxuan Sun, Xueyong Wang. SHARP BOUNDS ON THE MINIMUM M-EIGENVALUE OF ELASTICITY Z-TENSORS[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 2114-2130. doi: 10.11948/20200344

SHARP BOUNDS ON THE MINIMUM M-EIGENVALUE OF ELASTICITY Z-TENSORS

1.
School of Management Science, Qufu Normal University, Rizhao 276800, China

Corresponding author: Email address: wgglj1977@163.com(G. Wang)
Fund Project: The authors were supported by the Natural Science Foundation of Shandong Province (ZR2020MA025), the Natural Science Foundation of China (12071250, 11801309) and High Quality Curriculum of Postgraduate Education in Shandong Province (SDYKC20109)

Abstract

Abstract

In this paper, we establish an upper bound and sharp lower bounds on the minimum $M$-eigenvalue of elasticity $Z$-tensors without irreducible conditions. Based on the lower bound estimations for the minimum $M$-eigenvalue, we provide some checkable sufficient conditions for the strong ellipticity. Numerical examples are given to show the efficiency of the proposed results.
- Elasticity Z-tensors /
- elasticity -tensors /
- minimum M-eigenvalue /
- upper and lower bounds
MSC: 15A18, 15A42, 15A69

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References

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