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.
On Strong Ellipticity and Infinitesimal Stability in Third-Order Nonlinear Strain Gradient Elasticity
Eremeyev, V. A.
Primo
2023-01-01
Abstract
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.
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