Mechanics of Nano-structured Hierarchical and Self-similar Two Dimensional Cellular Materials
نویسندگان
چکیده
This paper presents the results of the elastic and geometrical properties of four types of nanostructured hierarchical and self-similar honeycombs. It is shown that at the nanometer scale, the elastic properties are size-dependent; the thinner the first order cell walls, the stiffer the hierarchical honeycombs. As an initial strain can be applied and controlled to the first order cell walls by application of an electric potential, both the elastic and geometrical properties of hierarchical honeycombs can be controlled to vary over large a range.
منابع مشابه
Size-dependent and tunable elastic and geometrical properties of nano-structured hierarchical cellular materials
The basic building blocks of nano-structured hierarchical cellular materials are nano-sized wires or plates. Due to the effects of surface elasticity and the initial stress/strain, their bending, torsion, stretching and transverse shear rigidities are not only size-dependent, but also tunable and controllable over a large range. Based on the closed form results of the bending, torsion, stretchi...
متن کاملNumerical Scrutinization of Three Dimensional Casson-Carreau Nano Fluid Flow
This study presents the computational analysis of three dimensional Casson and Carreau nanofluid flow concerning the convective conditions. To do so, the flow equations are modified to nonlinear system of ODEs after using appropriate self-similarity functions. The solution for the modified system is evaluated by numerical techniques. The results show the impacts of involving variables on flow c...
متن کاملTransverse Vibration for Non-uniform Timoshenko Nano-beams
In this paper, Eringen’s nonlocal elasticity and Timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams. The governing equations and the boundary conditions are derived using Hamilton’s principle. A Generalized Differential Quadrature Method (GDQM) is utilized for solving the governing equations of non-uniform Timoshenko nano-beam for pinned-pinned...
متن کاملOn the mechanical properties of hierarchically structured biological materials.
Many biological materials are hierarchically structured which means that they are designed from the nano- to the macro-scale in a sometimes self-similar way. There are lots of papers published including very detailed descriptions of these structures at all length scales--however, investigations of mechanical properties are most often focused on either nano-indentation or bulk mechanical testing...
متن کاملSelf-similar solutions of the Riemann problem for two-dimensional systems of conservation laws
In this paper, a new approach is applied to study the self-similar solutions of 2×2 systems of nonlinear hyperbolic conservation laws. A notion of characteristic directions is introduced and then used to construct local and smooth solutions of the associated Riemann problem
متن کامل