Conditions for strong ellipticity and M-eigenvalues
نویسندگان
چکیده
منابع مشابه
Conditions for strong ellipticity and M - eigenvalues ∗
Abstract The strong ellipticity condition plays an important role in nonlinear elasticity and in materials. In this paper, we define M-eigenvalues for an elasticity tensor. The strong ellipticity condition holds if and only if the smallest M-eigenvalue of the elasticity tensor is positive. If the strong ellipticity condition holds, then the elasticity tensor is rank-one positive definite. The e...
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ژورنال
عنوان ژورنال: Frontiers of Mathematics in China
سال: 2009
ISSN: 1673-3452,1673-3576
DOI: 10.1007/s11464-009-0016-6