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

Ying Zhang, Linxuan Sun and Gang Wang
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Ying Zhang: School of Basic Teaching, Shandong Water Conservancy Vocational College, Rizhao 276800, China
Linxuan Sun: School of Management Science, Qufu Normal University, Rizhao 276800, China
Gang Wang: School of Management Science, Qufu Normal University, Rizhao 276800, China

Mathematics, 2020, vol. 8, issue 2, 1-13

Abstract: 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.

Keywords: elasticity M -tensors; minimum M -eigenvalue; upper and lower bounds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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