Modern advances in material science and surface chemistry lead to creation of composite
materials with enhanced mechanical, thermal, and other properties. It is now widely …

This work gives an overview of the theoretical background and of the numerical modelling
framework used to describe the mechanical properties and the response of materials on …

In the last years, the rapid increase in the technical capability to control and design materials
at the nanoscale has pushed toward an intensive exploitation of new possibilities …

A nonlocal surface theory is proposed for interactions between surface and bulk media of
nanostructures. The nonlocal elasticity theory is generalized to account for nonlocal …

A nonlinear two-dimensional (2D) continuum with a latent internal structure is introduced as
a coarse model of a plane network of beams which, in turn, is assumed as a model of a …

In continuum mechanics, there exists a unique theory for elasticity, which includes the first
gradient of displacement. The corresponding generalization of elasticity is referred to as …

In this paper, we exploit some results in the theory of irreversible phenomena to address the
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …

This paper is devoted to the development of a continuum theory for materials having
granular microstructure and accounting for some dissipative phenomena like damage and …

Mindlin's second strain gradient continuum theory for isotropic linear elastic materials is
used to model two different kinds of size-dependent surface effects observed in the …

Although already suggested in the middle of the 19th century, have material models that
include higher gradients of the kinematical variables become a blossoming field of research …