4.3 Article

SHARP BOUNDS ON THE MINIMUM M-EIGENVALUE OF ELASTICITY Z-TENSORS AND IDENTIFYING STRONG ELLIPTICITY

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

  1. Natural Science Foundation of Shandong Province [ZR2020MA025]
  2. Natural Science Foundation of China [12071250, 11801309]
  3. High Quality Curriculum of Postgraduate Education in Shandong Province [SDYKC20109]

向作者/读者索取更多资源

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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