We consider dislocations in the framework of Eringen’s nonlocal elasticity. The fundamental field equations of nonlocal elasticity are presented. Using these equations, the nonlocal force stresses of a straight screw and a straight edge dislocation are given. By the help of these nonlocal stresses, we are able to calculate the interaction forces between dislocations (Peach-Koehler forces). All ...

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...