Metamaterials are materials especially engineered to have a peculiar physical behaviour, to
be exploited for some well-specified technological application. In this context we focus on …

In order to found continuum mechanics, two different postulations have been used. The first,
introduced by Lagrange and Piola, starts by postulating how the work expended by internal …

Abstract Navier–Cauchy format for Continuum Mechanics is based on the concept of contact
interaction between sub-bodies of a given continuous body. In this paper, it is shown how …

Numerical evaluation of the flexural forced vibration of a cantilever beam having a
transverse surface crack extending uniformly along the width of the beam was performed to …

A variational model for the analysis of crack evolution is presented. The method considers
strong discontinuities that evolve according to the principles of cohesive fracture mechanics …

There exists a lot of research on the breathing-crack induced nonlinear vibration for beam-
like structures. To the best of our knowledge, these studies mainly focus on the non-rotating …

A 1-dimensional second gradient damage continuum theory is presented within the
framework of the variational approach. The action is intended to depend not only with …

Curved beams that have advantages of excellent bearing capacity and beautiful
appearance are widely applied in various engineering constructions. This paper studies …

A one-dimensional displacement second-gradient damage continuum theory has been
already presented within the framework of a variational approach. Damage is associated …

Experimental evaluation of the flexural forced vibrations of a steel cantilever beam having a
transverse surface crack extending uniformly along the width of the beam was performed …