Recent works done by nano-engineers and nano-sciences about mechanical behavior of nano-plates including bending, buckling and vibration response were reviewed. The authors used non-classical elasticity theories to explain these behaviors of plate structures. Some of them employed Hamilton’s principle along with stain gradient theory, nonlocal theory, surface theory and couple stress theory to ...

We study the space of all continuous fuzzy-valued functions  from a space $X$ into the space of fuzzy numbers $(mathbb{E}sp{1},dsb{infty})$  endowed with the pointwise convergence topology.   Our results generalize the classical ones for  continuous real-valued functions.   The field of applications of this approach seems to be large, since the classical case  allows many known devices to be fi...

It is built a map between the Topological Quantum Field Theory (TQFT) 3D compact U(1) gauge Maxwell Chern-Simons and the non-relativistic quantum mechanics (semi-classical) Azbel-Hofstadter model of Bloch-electrons. The U q (sl 2) quantum group of magnetic translations in the Azbel-Hofstadter model is interpreted as discretized gauge transformations on the TQFT. The monopole confining and monop...