期刊
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
卷 11, 期 4, 页码 2114-2130出版社
WILMINGTON SCIENTIFIC PUBLISHER, LLC
DOI: 10.11948/20200344
关键词
Elasticity Z-tensors; elasticity M-tensors; minimum M-eigenvalue; upper and lower bounds
资金
- Natural Science Foundation of Shandong Province [ZR2020MA025]
- Natural Science Foundation of China [12071250, 11801309]
- High Quality Curriculum of Postgraduate Education in Shandong Province [SDYKC20109]
This paper establishes upper and lower bounds on the minimum M-eigenvalue of elasticity Z-tensors without irreducible conditions.
It provides sufficient conditions for strong ellipticity based on the lower bound estimations for the minimum M-eigenvalue.
Numerical examples are used to demonstrate the efficiency of the proposed results.
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.
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