this paper investigates the lateral vibration of single-layered graphene sheets based on a new theory called doublet mechanics with a length scale parameter. after a brief reviewing of doublet mechanics fundamentals, a sixth order partial differential equation that governs the lateral vibration of single-layered graphene sheets is derived. using doublet mechanics, the relation between natural f...

Incorporation of silver nanoparticles into composite resins is recommended for their reported antibacterial properties, but this incorporation can affect the wettability of such materials. Therefore, this study evaluated the effect of nano-silver addition to silorane-based and methacrylate-based composites on their contact angle. Nano-silver particles were added to Z250 (methacrylate-based) and...

Nano-science and nano-technology as well as the fine modelling of the structure and mechanics of materials from the nanometric to the micrometric scales use descriptions ranging from the quantum to the statistical mechanics. This paper revisits the modelling at these scales and points out the main challenges related to the numerical solution of such models that some times are discrete but invol...

Piezoelectric nanomaterials (PNs) are attractive for applications including sensing, actuating, energy harvesting, among others in nano-electro-mechanical-systems (NEMS) because of their excellent electromechanical coupling, mechanical and physical properties. However, the properties of PNs do not coincide with their bulk counterparts and depend on the particular size. A large amount of efforts...

This work deals with the discretization of single-phase Darcy flows in fractured and deformable porous media, including frictional contact at matrix–fracture interfaces. Fractures are described as a network planar surfaces leading to so-called mixed-dimensional models. Small displacements linear poro-elastic behavior considered matrix. One key difficulty simulate such coupled poro-mechanical mo...

The wetting of water on corrugated and flat hexagonal boron nitride (h-BN) monolayers on Rh(111) is studied within a hybrid quantum mechanics/molecular mechanics (QM/MM) approach. Water is treated by QM methods, whereas the interactions between liquid and substrate are described at the MM level. The electrostatic properties of the substrate are reproduced by assigning specifically generated par...

. . . Mathematics Subject Classification (2000): AMS-CLASSIFICATION. Introduction by the Organisers Physical Sciences and, in particular, Mechanics, have always played an important role as a source of inspiration for Mathematics. They have suggested fundamental problems, and stimulated the development of new techniques and tools. Now it is a a particularly exciting time for the interaction of M...

abstract:any effects of wood coating with different compounds as nano-zinc, nano-chitosan, chitosan, silicon oil and flaxseed oil on surface properties as; wood color change, surface roughness and wettability were studied in the current research work. for this purpose, sample boards of beech wood were cut into sizes of 2×10×20cm. the specimens were coated with the noticed coatings and tested fo...