On Strong Ellipticity and Infinitesimal Stability in Third-Order Nonlinear Strain Gradient Elasticity

被引：1

作者：

Eremeyev, V. A. ^{[1
,2
]}

机构：

[1] Univ Cagliari, I-09124 Cagliari, Italy

[2] Lobachevsky Natl Res Nizhny Novgorod State Univ, Nizhnii Novgorod 603105, Russia

来源：

MECHANICS OF SOLIDS | 2022年 / 57卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

strain gradient elasticity theory; strong ellipticity; infinitesimal stability;

D O I：

10.3103/S002565442208012X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The article formulates sufficient conditions for infinitesimal stability of affine deformation for Dirichlet-type boundary conditions using third-order nonlinear gradient elasticity theory. The conditions consist of three inequalities associated with strong ellipticity of the equilibrium equations.

引用

页码：1953 / 1957

页数：5

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