172 citations · 425 across the 14 of their papers we have counts for
5 papers · 1 filter
On the isotropic moduli of 2D strain-gradient elasticity
Nicolas Auffray
In the present paper, the simplest model of strain-gradient elasticity will be considered, that is the isotropy in a bidimensional space. Paralleling the definition of the classic…
On the algebraic structure of isotropic generalized elasticity theories
Nicolas Auffray
In this paper the algebraic structure of the isotropic nth-order gradient elasticity is investigated. In the classical isotropic elasticity it is well-known that the constitutive r…
Analytical continuum mechanics à la Hamilton-Piola: least action principle for second gradient continua and capillary fluids
N. Auffray, F. dell'Isola, V. Eremeyev +2
In this paper a stationary action principle is proven to hold for capillary fluids, i.e. fluids for which the deformation energy has the form suggested, starting from molecular arg…
Matrix representations for 3D strain-gradient elasticity
N. Auffray, H. Le Quang, Q. -C. He
The theory of first strain gradient elasticity (SGE) is widely used to model size and non-local effects observed in materials and structures. For a material whose microstructure is…
Symmetry classes for even-order tensors
M. Olive, N. Auffray
The purpose of this article is to give a complete and general answer to the recurrent problem in continuum mechanics of the determination of the number and the type of symmetry cla…