We consider the motion of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. We outline a linear model to describe the interaction between the turbulent gas flow and the interfacial waves; this consists of the Orr-Sommerfeld equation with the appropriate turbulent mean flow profile, together with a turbulent stress closure scheme. Thi...

In this research static deflection and free vibration of homogeneous nanobeams coated by a functionally graded (FG) layer is investigated according to the nonlocal elasticity theory. A higher order beam theory is used that does not need the shear correction factor. The equations of motion (equilibrium equations) are extracted by using Hamilton’s principle. The material properties are considered...

Purpose This paper aims to present a nonlocal gradient plasticity damage model demonstrate the crack pattern of body, in an elastic and plastic state, terms law. The main objective this is reconsider theory by including material in-homogeneity caused plasticity. nature strain field provides regularization overcome analytical computational problems induced softening constitutive laws. Such appro...

Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential (gradient) expression. This paper presents analytical solutions of the one-dimensional localization problem under certain special nonuniform stress distributions. The...

1. Abdelrahman A.A., Esen I., Özarpa C., Eltaher M.A., 2021, Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory, Applied Mathematical Modelling, 96, 215-235. CrossRef Google Scholar

We consider learning a sequence classifier without labeled data by using sequential output statistics. The problem is highly valuable since obtaining labels in training data is often costly, while the sequential output statistics (e.g., language models) could be obtained independently of input data and thus with low or no cost. To address the problem, we propose an unsupervised learning cost fu...

We derive strain-gradient plasticity from a nonlocal phase-field model of dislocations in plane. After scaling, the elastic interaction we continuous energy with linear growth depending on measure which characterizes macroscopic dislocation density as well effective representing far-field between dislocations. Relaxation and formation microstructures at intermediate scales are automatically inc...

Buckling analysis of a functionally graded (FG) nanobeam resting on two-parameter elastic foundation is presented based on third-order shear deformation beam theory (TOSDBT). The in-plane displacement of TOSDBT has parabolic variation through the beam thickness. Also, TOSDBT accounts for shear deformation effect and verifies stress-free boundary conditions on upper and lower faces of FG nanobea...