Q2. What are the future works mentioned in the paper "Dynamic problems for metamaterials: review of existing models and ideas for further research" ?
The assumptions, which usually are considered to be immovable paradigms of continuum mechanics, conversely seem to have a much more restricted applicability and their removal open unexpected scientific possibilities towards technological innovations. Many new phenomena, with very interesting possibilities of applications, simply wait to be observed and understood.
Q3. What is the effect of the structure of the boundary conditions?
The structure of these boundary conditions may induce• a time delay in the release of incident energy at the interface,• a concentrated dissipation at the interface,• a considerable increase of reflected energy, also with time delay,• a surface trapping of incident energy with its release in different forms, which could have non-parasitic uses,• the origination of surface waves, involving surface displacement, surface thickness variation or, more generally, surface micro-structural oscillations.
Q4. What is the definition of a metamaterial?
A class of metamaterials is represented by controlled smart structures, recently introduced to optimise the dissipation of mechanical vibration energy.
Q5. Who were the first authors to complement the standard kinematics?
The Cosserat brothers were among the first authors who complemented, with additional independent kinematic fields, the standard kinematics constituted by a placement field.
Q6. Who has supported the research project presented in this paper?
The research project presented in this paper has been partially supported by the International Research Centre for the Mathematics and Mechanics of Complex Systems “M&MoCS” of the Università de L’Aquila.
Q7. What is the simplest way to study wave propagation in micromorphic media?
Some preliminary results on the study of wave propagation in micromorphic media indicate that, for particular sets of the constitutive parameter values, propagation of some types of waves can be inhibited or waves that propagate without carrying energy can be also observed.
Q8. What are the clinical requirements for resorbed bone?
the clinical requirements are clear:• the reconstructed bone needs to resemble the natural bone as close as possible; therefore in principle, the bio-resorbable material should be completely resorbed at the end of the process and, during the resorptionremodelling process, cavities should be avoided since they prevent the formation of new bone tissue;• remodelling and reformation process should last a reasonable period of time and the mechanical stability of the system must be continuously assured.
Q9. What is the importance of the analysis of involved length scales?
In this context, the analysis of involved length scales is crucial, as length scale separation allows simplification in the modelling procedure.
Q10. What is the principle of virtual work?
The Principle of Least Action, when formulated for action functionals admitting first differentials, can be regarded as a particular form of the Principle of Virtual Work.
Q11. What are some examples of structural modifications of the principal structures?
In these cases, structural modifications of the principal structures are aimed at the addition of some elements that damp vibrations: these devices may be e.g. arrays of piezoelectric actuators coupled with dissipative electronic circuits (dell’Isola, Vidoli, 1998b).
Q12. What was the first work to introduce higher gradients of displacement field?
He was lead by stringent physical considerations to introduce higher gradients of displacement field, as necessary independent variables, in the constitutive equation for the deformation energy of continuous media.
Q13. What is the main reason why the structure of the piezoelectromechanical structure?
A preliminary study, reported in a private communication by A. Luongo, seems to indicate that piezoelectromechanical structures are less stable, in a way not yet rigorously specified, than their original mechanical counterpart.
Q14. What are the difficulties in microstructured continuum mechanics?
Some difficulties arise in this innovative application field of micro-structured continuum mechanics: the authors mention for instance, in fibre-reinforced composite materials, the problem to model the permeability both in the initial undeformed configuration and its modifications during the deformation evolution.