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

Abstract 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...

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Bibliographic Details
Published in:Journal of Inequalities and Applications
Main Authors: Haitao Che, Haibin Chen, Na Xu, Qingni Zhu
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Subjects:
M-eigenvalue
Elasticity M-tensors
Strong ellipticity
M-positive definiteness
Online Access:http://link.springer.com/article/10.1186/s13660-020-02454-1
Description
Summary:Abstract 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.
ISSN:1029-242X

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