In this paper, surface effects including surface elasticity, surface stress and surface density, on the free vibration analysis of Euler-Bernoulli and Timoshenko nanobeams are considered using nonlocal elasticity theory. To this end, the balance conditions between nanobeam bulk and its surfaces are considered to be satisfied assuming a linear variation for the component of the normal stress thr...

The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which microscopically based derivations of elasticity are documented are (nearly) uniformly strained lattices. A microscopic approach to elasticity is proposed. As a first...

A size-dependent Euler–Bernoulli beam model, which accounts for nonlocal stress field, strain gradient field and higher order inertia force field, is derived based on the nonlocal strain gradient theory considering velocity gradient effect. The governing equations and boundary conditions are derived both in dimensional and dimensionless form by employed the Hamilton principle. The analytical so...

the use of plant fibers in producing different industrial products has attracted the attention of many researchers. plant fibers, in comparison with industrial ones, are degraded faster in nature and are more environments friendly. one of the major conventional uses of plant fibers is the production of traditional ropes which are subjected to tensile forces. however, the traditional ropes bear ...

Besides experimental methods, numerical simulations bring benefits and great opportunities to characterize and predict mechanical behaviors of materials especially at nanoscale. In this study, a nano-single crystal aluminum (Al) as a typical face centered cubic (FCC) metal was modeled based on molecular dynamics (MD) method and by applying tensile and compressive strain loadings its mechanical ...

– A Landau theory is constructed for the vulcanization transition in cross-linked polymer systems with spontaneous nematic ordering. The neo-classical theory of the elasticity of nematic elastomers is derived via the minimization of this Landau free energy; this neoclassical theory contains the classical theory of rubber elasticity as its isotropic limit. Our work not only reveals the statistic...

As there are different computational methods for simulating problems in generalized mechanics, we present simple applications and their closed-form solutions verifying a numerical implementation. For such benchmark, utilize these analytical examine three-dimensional simulations by the finite element method (FEM) using IsoGeometric Analysis (IGA) with aid of open source codes, called tIGAr, deve...

In the perspective of homogenization theory, strain-gradient elasticity is a strategy to describe overall behavior materials with coarse mesostructure. this approach, effect mesostructure described by use three tensors whose orders vary from 4 6. Higher-order constitutive make it possible rich physical phenomena. However, these objects have intricate algebraic structures that prevent us having ...

The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material.  The freque...