New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications

Journal of inequalities and applications

article

Haitao Che¹  Haibin Chen²  Na Xu³  Qingni Zhu⁴ 

[1] School of Mathematics and Information Science, Weifang University;School of Management Science, Qufu Normal University;Department of College English Teaching, Qufu Normal University;Department of Basic Teaching, Shandong Water Conservancy Vocational College

关键词: M-eigenvalue;    Elasticity M-tensors;    Strong ellipticity;    M-positive definiteness;   

DOI  :  10.1186/s13660-020-02454-1

学科分类：电力

来源: SpringerOpen

【 摘 要 】

M-eigenvalues of elasticity M-tensors play an important role in nonlinear elasticity and materials. In this paper, we present several new lower bounds for the minimum M-eigenvalue of elasticity M-tensors and propose numerical examples to illustrate the efficiency of the obtained results. As applications, we provide several checkable sufficient conditions for the strong ellipticity and positive definiteness of irreducible elasticity M-tensors.

【 授权许可】

CC BY