A method for homogenization of an elastic composite with periodic microstructure is presented, focusing on the Floquet-type elastic waves. The resulting homogenized frequency-dependent elasticity and mass density then automatically satisfy the overall conservation laws and by necessity produce the exact dispersion relations. It is also shown that the dispersion relations and the associated fiel...

Elements of pattern formation in nematic liquid crystal polymers are presented using the Doi-Marrucci-Greco (DMG) moment-averaged theory. The theory yields a full tensor orientation equation, accounting for excluded-volume and distortional elasticity potentials, with rotational molecular diffusion. Spinodal decomposition associated with unstable homogeneous phases is described first by way of a...

Thisstudy presents axially forced vibration of a cracked nanorod under harmonic external dynamically load. In constitutive equation of problem, the nonlocal elasticity theory is used. The Crack is modelled as an axial spring in the crack section. In the axial spring model, the nonrod separates two sub-nanorods and the flexibility of the axial spring represents the effect of the crack. Boundary ...

Article history: Received 20 September 2016 Received in revised form 11 May 2017 Accepted 14 May 2017 Available online 10 June 2017 In this paper, free longitudinal vibration of nanorods is investigated from the wave viewpoint. The Eringen’s nonlocal elasticity theory is used for nanorods modelling. Wave propagation in a medium has a similar formulation as vibrations and thus, it can be used to...

In this paper, a semi-analytic thermal stress computation for single crystals with cubic anisotropy is developed, by introducing a new anisotropic factor. Based on a suitable splitting of the differential operators, a convergence series for general elasticity problem with cubic anisotropy is derived. Each term of the series is related to an isotropic elasticity problem. Using the analytic solut...

Two classes of exact solutions are derived for the equations of three dimensional linear orthotropic elasticity theory governing flat (plate) bodies in plane strain or axisymmetric deformations. One of these is the analogue of the Levy solution for plane strain deformations of isotropic plates and is designated as the interior solutions. The other complementary class correspond to the Papkovich...