bending analysis of multilayer graphene sheets (mlgss) subjected to non-uniform shear and normal tractions is presented. the constitutive relations are considered to be non-classical based on nonlocal theory of elasticity. based on the differential transformation method, numerical illustrations are carried out for circular and annular geometries. the effects of nano scale parameter, radius of c...

We present a brief survey of nonclassical linear theories continuum mechanics. Thus, we give concise characterization the Eringen–Edelen nonlocal theory elasticity, polar and micropolar media, Toupin couple-stress Eringen–Suhubi–Mindlin micromorphic theory, Mindlin gradient also local deformation elastic media that takes into account mass displacements.

A study of existence and uniqueness weak solutions to boundary value problems describing an elastic body with weakly nonlocal surface elasticity is presented. The chosen model incorporates the strain energy as a quadratic function tensor deformation gradients up Nth order. virtual work principle, extended for higher-order gradient media, serves basis defining solution. In order characterize smo...

Following recent technological advancements, a great attention has been paid to mechanical behaviour of structural elements nanosize. In this study, some solutions problems bars nanosize is examined using Eringen’s two-phase nonlocal elasticity. Assuming the fraction coefficient part material small, perturbation expansion with respect it performed. With procedure, original problem broken into s...

Related Articles Replica theory of the rigidity of structural glasses J. Chem. Phys. 136, 214108 (2012) Direct and quantitative evidence for buckling instability as a mechanism for roughening of polymer during plasma etching Appl. Phys. Lett. 100, 233113 (2012) Nonlocal elasticity based magnetic field affected vibration response of double single-walled carbon nanotube systems J. Appl. Phys. 111...

A model for the quasistatic evolution of martensitic phase boundaries is presented. The model is essentially the gradient flow of an energy that can contains elastic energy due to the underlying change in crystal structure in the course of the phase transformation and surface energy penalizing the area of the phase boundary. This leads to a free boundary problem with a nonlocal velocity that ar...