Pantographic blocks are metamaterials made of a finite number of parallel pantographic
sheets interconnected by cylindrical pivots. In this paper, a pantographic block subjected to …

We discuss the strong ellipticity (SE) condition within the Toupin–Mindlin first strain gradient
elasticity theory. SE condition is closely related to certain material instabilities and describes …

We formulate a series of strong ellipticity inequalities for equilibrium equations of the
gradient elasticity up to the N th order. Within this model of a continuum, there exists a …

Abstract Within the linear Toupin–Mindlin strain gradient elasticity we discuss the well‐
posedness of the first boundary‐value problem, that is, a boundary‐value problem with …

We discuss ellipticity property within the linear couple-stress elasticity. In this theory, there
exists a deformation energy density introduced as a function of strains and gradient of …

We discuss the ellipticity properties of an enhanced model of poroelastic continua called
dilatational strain gradient elasticity. Within the theory there exists a deformation energy …

In this work, we investigate a dynamic internal dissipation mechanism in the context of
cement-based materials by introducing a 1D-enhanced micromorphic beam model with a …

In this study, diverse typologies of external actions are outlined, which turn out to be
admissible for the third-gradient modeling of elastic materials. It is shown how such loading …

Conditions for the strong ellipticity of equilibrium equations are formulated within strain
gradient elasticity under finite deformations. In this model, the strain energy density is a …

In this note we discuss ellipticity properties in elastic media under finite deformations.
Ellipticity could be considered as an additional so-called constitutive inequality. The loss of …