A two-dimensional solid consisting of a linear elastic isotropic material is considered in this
paper. The strain energy is expressed as a function of the strain and of the gradient of strain …

In the present contribution the concept of isogeometric analysis is extended towards the
numerical solution of the problem of gradient elasticity in two dimensions. In gradient …

In this paper, a finite-element implementation of linear second-strain gradient elasticity is
introduced based on a Hellinger-Reissner variational principle in order to use standard finite …

This paper deals with the static and dynamic analyses of multi-layered plates with
discontinuities. The two-dimensional first-order shear deformation theory is used to derive …

Nous étudions le flambage de milieux continus bidimensionnels. Ces milieux, que nous
appelons «feuilles pantographiques», sont constitués par un réseau formé de deux familles …

We simulate pattern formation in the deformations of a pantographic lattice using a model of
elastic surfaces that accounts for the geodesic bending of the constituent fibers. The theory …

Nanowire based semiconductors are promising for nanogenerators. However, there exist
limited numerical tools to analyze these type of structures taking into account effects which …

This article investigates the theoretical and numerical analysis as well as applications of the
three-dimensional theory of first strain gradient elasticity. The corresponding continuous and …

We present, to the best of our knowledge, the first complete three-dimensional numerical
solutions to a broad range of boundary value problems for a general theory of finite strain …

We consider a problem of digital image inpainting using the modified Cahn-Hilliard
equation, where the standard double well potential is replaced by the shock filter. Using …