Sharp Bounds on the Minimum M-Eigenvalue of Elasticity M-Tensors

被引：6
|
作者：
Zhang, Ying [1 ]
Sun, Linxuan [2 ]
Wang, Gang [2 ]
机构：
[1] Shandong Water Conservancy Vocat Coll, Sch Basic Teaching, Rizhao 276800, Peoples R China
[2] Qufu Normal Univ, Sch Management Sci, Rizhao 276800, Peoples R China
来源：
MATHEMATICS | 2020年 / 8卷 / 02期
关键词：
elasticity M-tensors; minimum M-eigenvalue; upper and lower bounds; POSITIVE DEFINITENESS; STRONG ELLIPTICITY; STABILITY; SYSTEMS; SETS;
D O I：
10.3390/math8020250
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The M-eigenvalue of elasticity M-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 M-eigenvalue of elasticity M-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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页数：13
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