Special issue on mathematical and computational modeling of nanoscopic structures

Nanoscopic structures are small structures formed from a countable number of atoms or molecules. Novel properties and functions are associated with nanoscopic structures due to reduction in their dimensionalities. These small structures have promoted a revolution in science and technology, and they are utilized in making new devices as well as leading to new technologies. Furthermore, Nature has already employed nanoscopic structures to perform vital biological functions. Hence, these exotic structures have occupied the center stage in pure and applied research due to their widespread applications in various fields of nanoscience, nanoengineering, nanotechnology, materials science and technology, medical physics, biomedical engineering, biotechnology, molecular biology and genetics, and neural science and neural engineering. Following this invention, various types of biological and nonbiological nanoscopic structures with various morphologies and functionalities have been discovered, synthesized, and reported during the past four decades. Phenomenological study of nanoscopic structures, either as single isolated structures or as components in nanoscale machines and systems, forms an active research area in applied science and engineering. Understanding the mechanical properties and behavior of a material system at nanoscale level is a necessary requirement for an efficient and accurate design, fabrication and assembly of nanoscale systems, nanomaterials, nanodevices, and nanodrugs. Accordingly, the development of well-understood mathematical and computational frameworks for characterizing the mechanical structure and behavior of the nanoscopic structures is very desirable, and it poses a huge number of challenges for researchers in this field. This Special Issue contains five papers by a number of expert researchers from China, India, Iran, Italy, and Poland. They have presented recent findings in mathematical and computational modeling of various nanoscopic structures with different morphologies. Below, we briefly introduce the papers featured in this Special Issue. In the first paper, size-dependent mechanical properties of twin graphene, a novel 2D planar semiconducting carbon allotrope, have been investigated using Molecular Dynamics simulations. The encapsulation of monocyclic carbon rings inside single-walled carbon nanotubes has investigated using continuum approximation in the second paper. In another paper, size-dependent free-vibration of viscoelastic carbon nanotubes conveying fluid and resting on viscoelastic foundation has studied on the basis of fractional viscoelasticity. Nonlinear bending analysis of a double-layered graphene sheet which contains a geometrical imperfection has simulated in the fourth paper. Finally, the static behavior of elastic curved beams has been investigated by stress-driven two-phase integral elasticity. We hope readers will find the special issue interesting and that the content will contribute to the development of successful research in the field of nanotechnology and nanoengineering. The editor would like to thank all the contributing authors for their participation and cooperation which made this Special Issue possible. In addition, we wholeheartedly thank the anonymous reviewers for their carefully performed job and also the editorial office and editorin-chief of Journal of Nanomaterials, Nanoengineering and Nanosystems for their excellent cooperation.