We study the effect of adsorbed surfactant on drop deformation in linear flows by means of analytical solutions for small perturbations of the drop shape and surfactant distribution, and by numerical simulations for large distortions. We consider a drop with the same viscosity as the suspending fluid. Under these conditions, the problem simplifies because the disturbance flow field results sole...

Abstract We show that solutions for a specifically scaled nonlinear wave equation of elasticity converge to linear Euler–Bernoulli beam system. construct an approximation the solution, using suitable asymptotic expansion ansatz based upon one-dimensional equation. Following this, we derive existence appropriately initial data and can bound difference between analytical solution approximating se...

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

In this article, small scale effects on free vibration analysis of non-uniform nanobeams is discussed. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width among the beams length with constant thickness. Analytical solution is achieved for free vibration with different boundary conditions. It is shown th...

Abstract In this manuscript two BMO estimates are obtained, one for Linear Elasticity and Nonlinear Elasticity. It is first shown that the BMO-seminorm of gradient a vector-valued mapping bounded above by constant times symmetric part its gradient, is, Korn inequality in BMO. The uniqueness equilibrium finite deformation whose principal stresses everywhere nonnegative then considered. when seco...

A typical characteristic of bimodular material beams is that when bending, the neutral layer beam does not coincide with its geometric middle surface since mechanical properties materials in tension and compression are different. In classical theory elasticity, however, this has been considered. study, a simply-supported under combination action thermal loads theoretically analyzed. First, simp...

Abstract The free and forced vibration of a graded geometrically nonlinear Timoshenko nanobeam supported by on foundation is considered in this paper. main contribution study to propose new formulation for the dynamic response beam combining nonlocal surface elasticity addition employing physical neutral axis method which eliminates quadratic nonlinearity from equation motion. Using principle v...

The accelerating fields (e. g. centrifugal acceleration and constant acceleration) can change the physical performance of nano-sensors significantly. Herein, a new size-dependent model is developed to investigate the scale-dependent dynamic behavior of nanowire-fabricated sensor operated in an accelerating field. The scale-dependent equation of motion is developed by employing a consolidation o...

In this paper, the modified Euler-Bernoulli beam model is presented to examine the influence of surface elasticity and residual surface tension on the critical force of axial buckling of nanotubes in the presence of rotary inertia. An explicit solution is derived for the buckling loads of microscaled Euler beams considering surface effects. The size-dependent buckling behavior of the nanotube d...

In this paper, we solve a fixed point problem by proving that the solution is the value at the point 1 of the solution of an appropnate ordinary differential équation This approach is applied m nonlmear elasticity to the pure traction boundary-value problem with live lood An incrémental method is then used in approximating the solution The number of successive linearizations is considerably red...