functionally gradedpoisson’s ratio structures have been developed for critical protection. in thispaper, the static bending and buckling of fgpr nanoscale beam are studied basedon the nonlocal timoshenko beam model, in which both young’s modulus andpoisson’s ratio are assumed to vary continuously in the thickness direction. byutilizing total potential energy principle, equilibrium equations are...

Level creation is a creative game-play exercise that resembles problem-posing, and has shown to be engaging and helpful for players to learn about the game’s core mechanic. However, in user-authoring environments, users often create levels without considering the game’s objective, or with entirely different objectives in mind, resulting in levels which fail to afford the core gameplay mechanic....

Cognitive gameplay—the cognitive dimension of a player’s experience—emerges from the interaction between a player and a game. While its design requires careful consideration, cognitive gameplay can be designed only indirectly via the design of game components. In this paper, we focus on one such component—the core mechanic—which binds a player and game together through the performance of essent...

Abstract. In this paper we present the first results on substructuring methods for nonlocal operators, specifically, an instance of the nonlocal p-Laplace operator. We present a nonlocal variational formulation of this operator, proving a nonlocal Poincaré inequality and upper bound to establish a spectral equivalence. We then introduce a nonlocal two-domain variational formulation utilizing no...

This paper considers the equilibrium positions of $n$ particles in one dimension. Two forces act on particles; a nonlocal repulsive particle-interaction force and an external which pushes them to impenetrable barrier. While continuum limit as $n \to \infty$ is known for certain class potentials, numerical simulations show that discrete boundary layer appears at barrier, i.e., $o(n)$ do not fit ...

This work focuses on the dynamical behavior of carbon nanotubes, including vibration, wave propagation and fluid-structure interaction. In the present research, transverse vibration of nano fluid conveying carbon nanotubes is investigated. To this end, based on the nonlocal and strain-inertia gradient continuum elasticity theories and by using rod and Euler-Bernoulli beam models, the system’s d...

in this research, the buckling and bending behaviour of smart nanocomposite plate reinforced by single- walled carbon nanotubes (swcnts) under electro-magneto-mechanical loadings is studied. the extended mixture rule approach is used to determine the elastic properties of nanocomposite plate. equilibrium equations of smart nanocomposite plate are derived using the hamilton’s principle based on ...

A construction of W-symmetries is given only in terms of the nonlocal fields (parafermions ψ α), which take values on the homogeneous space G/U (1) r , where G is a simply connected compact Lie group manifold (its accompanying Lie algebra G is a simple one of rank r). Only certain restriction of the root set of Lie algebra on which the parafermionic fields take values are satisfied, then a cons...