Generally, there are two distinct effects in modifying the properties of low-dimensional nanostructures: surface effect (SE) due to increased surface-volume ratio and quantum size effect (QSE) due to quantum confinement in reduced dimension. The SE has been widely shown to affect the elastic constants and mechanical properties of nanostructures. Here, we demonstrate that QSE can also have a str...

Methods which relate the elastic constants of thermodynamic systems to the fluctuations of the pressure or the volume are called ‘‘fluctuation’’ methods. In this paper we derive expressions, within the fluctuation method, for determining elastic constants in systems composed of hard spheres tethered by inextensible bonds. Such systems are frequently used as athermal models of real physical syst...

in this study, thermo-mechanical nonlinear vibration of a polyethylene (pe) cylindrical shell embedded in an elastic foundation was investigated. the shell is reinforced by armchair carbon nanotubes (cnts) where characteristics of the equivalent composite being determined using mori-tanaka model. the elastic medium is simulated using the spring constant of the winkler-type,  . employing nonline...

The elastic anomaly observed in the coherent Kondo state of Ce heavy fermion compounds is analyzed by using the Anderson lattice model simulating the energy level scheme of CeTe. The Γ7 doublets and Γ8 quartets of the 4f states are considered in the model. We solve the mean field equations to derive the temperature dependences of elastic constants, using the random phase approximation like expr...

The physical meaning of Cosserat, void, and microstretch elastic constants is analyzed and interpreted. Various torsion experiment designs provide a clear path to extract Cosserat elastic constants independently of any dilatation gradient sensitivity the material may have. For void elasticity (with sensitivity to dilatation gradients) there is no known quasi-static modality to demonstrate pheno...

In this paper we present an investigation into the calculation of the Frank elastic constants of hard platelets via molecular simulation and virial expansion beyond second order. Monte Carlo simulations were carried out and director fluctuations measured as a function of wave vector k, giving the elastic constants through a fit in the low-k limit. Additionally, the virial expansion coefficients...

A theoretical formalism to calculate the single crystal elastic constants for orthorhombic crystals from first principle calculations is described. This is applied for TiSi2 and we calculate the elastic constants using a full potential linear muffin-tin orbital method using the local density approximation ~LDA! and generalized gradient approximation ~GGA!. The calculated values compare favorabl...

By means of a simple pseudomolecular model the surface elastic properties of nematic liquid crystals are analysed. We show that in the Maier-Saupe approximation for the intermolecular interaction and supposing the interaction volume of ellipsoidal shape, the bulk elastic constants of splay and twist are expected to be equal and different from the bend one. The dependence of the bulk elastic con...