Abstract
ABSTRACT Novel upper and lower bounds are derived for the M-eigenvalues of a fourth-order elasticity tensor by using the extreme eigenvalues of the symmetric matrices extracted from the given elasticity tensor. The new upper bound of the M-spectral radius is tighter than that given by S. Li et al. in [J Comput Appl Math. 2019;356]. Based on the new lower bound of the M-eigenvalues, a stronger sufficient condition is presented for the strong ellipticity of an elasticity tensor. Numerical examples are also given to demonstrate the results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have