Abstract This research advances the conceptualization and measurement of flow. The results six studies ( N = 2809) reveal that flow has two dimensions: “fluency,” which is comprised experiences related to fluent thought action; “absorption,” based on sustained full attention. also demonstrate dimensions have nuanced relationships with other variables. Specifically, while fluency dimension antec...

We investigate the high-frequency behavior of the density of vibrational states in three-dimensional elasticity theory with spatially fluctuating elastic moduli. At frequencies well above the mobility edge, instanton solutions yield an exponentially decaying density of states. The instanton solutions describe excitations, which become localized due to the disorder-induced fluctuations, which lo...

This paper addresses the influence of boundary conditions and small-scale effect on the free vibration of nano-plates using molecular dynamics (MD) and nonlocal elasticity theory. Based on the MD simulations, Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) is used to obtain fundamental frequencies of single layered graphene sheets (SLGSs) which modeled in this paper as the mo...

A phenomenological model based on the three-dimensional theory of nonlinear elasticity is developed to describe the phenomenon of overstretching in the force-extension curve for dsDNA. By using the concept of a material with multiple reference configurations a single formula is obtained to fit the force-extension curve.

In this paper, the radial breathing mode (RBM) frequency of single-walled carbon nanotube (SWCNT) is studied based on the thin shell theory. For this purpose, SWCNT is considered as an elastic thin cylindrical shell. The dynamic equation of RBM is derived using the Hamilton’s principle. An analytical solution of the RBM frequency of SWCNT is obtained. The advantage of this formulation is that i...

Constitutive relations for two-dimensional deformations of cohesionless granular materials are considered. The granular materials are assumed to be isotropic and rate-independent. One of the current trends in modelling the behaviour of granular materials is to study constitutive relations of the hypo-elastic The general hypo-elastic constitutive relation, originally proposed by Tr~esdell ,~ is ...

Model lattices consisting of balls connected by central-force springs provide much of our understanding of mechanical response and phonon structure of real materials. Their stability depends critically on their coordination number z. d-dimensional lattices with z = 2d are at the threshold of mechanical stability and are isostatic. Lattices with z < 2d exhibit zero-frequency "floppy" modes that ...

The three-dimensional stress-strain state of an isotropic plate loaded on all its surfaces is considered in the article. initial problem divided into two ones: symmetrical bending and a compression plate, by specified loads. It shown that plane theory elasticity special case second task. To solve task, symmetry normal stresses used. Boundary conditions are satisfied harmonic obtained for some f...

The determination of the appropriate boundary conditions for a two-dimensional theory of elastic flat plates (and shells) consistent with the expected order of accuracy of the theory is both critical and challenging. The reciprocal theorem of elasticity will be applied in a novel way to obtain the appropriate stress boundary conditions for plate bending accurate to all order (with respect to th...