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 principles of origami design have proven useful in a number technological applications. Origami tessellations particular constitute class morphing metamaterials with unusual geometric and elastic properties. Although inextensible principle, fine creases allow to effectively deform non-isometrically. Determining the strains that are compatible coarse-grained kinematics as well corresponding ...

The paper shows that spectral wave propagation analysis reveals in a simple and clear manner the effectiveness of various regularization techniques for softening materials, i.e., materials for which the yield limits soften as a function of the total strain. Both plasticity and damage models are considered. It is verified analytically in a simple way that the nonlocal integral-type model with de...

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...

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...