In this paper, we discuss various formats of gradient elasticity and their performance in static
and dynamic applications. Gradient elasticity theories provide extensions of the classical …

In Mechanics, material properties are most often regarded as being given, and based on
this, many technical solutions are usually conceived and constructed. However, nowadays …

The paper presents the study on the flexural wave propagation in a single-walled carbon
nanotube through the use of the continuum mechanics and the molecular dynamics …

In this paper, the constitutive relations of nonlocal elasticity theory are presented for
application in the analysis of carbon nanotubes (CNTs) when modelled as Euler–Bernoulli …

Strain-gradient elasticity is widely used as a suitable alternative to size-independent
classical continuum elasticity to, at least partially, capture elastic size effects at the …

Проблема построения конститутивных моделей, позволяющих описывать поведение
материалов в широких диапазонах изменения параметров воздействия (температур …

Analytical wave propagation studies in gradient elastic solids and structures are presented.
These solids and structures involve an infinite space, a simple axial bar, a Bernoulli–Euler …

A multifield continualization technique is introduced that offers a thermodynamically
consistent description of the constitutive and dispersive properties of beam-lattice inertial …

Mindlin, in his celebrated papers of Arch. Rat. Mech. Anal. 16, 51–78, 1964 and Int. J. Solids
Struct. 1, 417–438, 1965, proposed two enhanced strain gradient elastic theories to describe …

The fourth-order boundary value problems of one parameter gradient-elastic bar and plane
strain/stress models are formulated in a variational form within an H 2 Sobolev space setting …