Abstract In this paper, the reduced strain gradient elasticity model with two characteristic lengths is proposed and presented. The a particular case of Mindlin’s first theory number material parameters generalization simplified to include different length scale parameters. have physical meaning longitudinal transverse scales. used study screw edge dislocations derive analytical solutions dislo...

Classical effective descriptions of heterogeneous materials fail to capture the influence of the spatial scale of the heterogeneity on the overall response of components. This influence may become important when the scale at which the effective continuum fields vary approaches that of the microstructure of the material and may then give rise to size effects and other deviations from the classic...

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 ...

Present paper is devoted to stress and deformation analyses of heated variable thickness functionally graded (FG) circular plate with clamped supported, embedded on a gradient elastic foundation and subjected to non-uniform transverse load. The plate is coupled by an elastic medium which is simulated as a Winkler- Pasternak foundation with gradient coefficients in the radial and circumferential...

1. Preliminary Remarks.-The condition of incompressibility used in our preceding note' in these PROCEEDINGS will now be replaced by the condition of the classical elasticity theory relating the divergence of the displacement vector and the mean stress. This leads to the usual form of theIHencky stress-strain relations for small plastic displacements which, for purposes of reference, we shall wr...

Torsional dynamic analysis of carbon nanotubes under the effect of longitudinal magnetic field is carried out in the present study. Torque effect of an axial magnetic field on a carbon nanotube has been defined using Maxwell’s relation. Nonlocal governing equation and boundary conditions for carbon nanotubes are obtained by using Hamilton’s minimum energy principle. Eringen’s nonlocal stress gr...