Author:
Che Haitao,Chen Haibin,Xu Na,Zhu Qingni
Abstract
AbstractM-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.
Funder
Natural Science Foundation of China
Natural Science Foundation of Shandong Province
Project of Shandong Province Higher Educational Science and Technology Program
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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