A new methodology is presented that allows the rapid determination of elastic constants of cubic fibre-textured thin films by X-ray diffraction. The theoretical concept is developed and tested on calculated examples of Cu and CrN films. The mechanical elastic constants are extrapolated from X-ray elastic constants by taking into consideration crystal and macroscopic elastic anisotropy. The deri...

Structural, optical and electronic properties and elastic constants of Be1–xZnxS alloys have been studied by employing the commercial code Castep based on density functional theory. The generalized gradient approximation and local density approximation were utilized as exchange correlation. Using elastic constants for compounds, bulk modulus, band gap, Fermi energy and Kramers–Kronig relations,...

We have measured the adiabatic second order elastic constants of two Ni-Mn-Ga magnetic shape memory crystals with different martensitic transition temperatures, using ultrasonic methods. The temperature dependence of the elastic constants has been followed across the ferromagnetic transition and down to the martensitic transition temperature. Within experimental errors no noticeable change in a...

The anisotropic elastic constants of human cortical bone were predicted using a specimen-specific micromechanical model that accounted for structural parameters across multiple length scales. At the nano-scale, the elastic constants of the mineralized collagen fibril were estimated from measured volume fractions of the constituent phases, namely apatite crystals and Type I collagen. The elastic...

Expressions for the pressure-dependent apparent elastic constants of cubic crystals are derived in terms of their original secondand third-order elastic constants. New expressions are obtained for the apparent compliances and their pressure derivatives. Results are shown to be in agreement with those based on the apparent elastic moduli. ( 1998 Elsevier Science Ltd. All rights reserved.

The elastic constants of Nd3Se4 show an anomalous behaviour above and below Tc = 52 K. Band effects are assumed to be the origin of the softening of C' in the paramagnetic region. Below Tc extra shifts arise from magneto-elastic coupling. An elastic hysteresis is observed which is directly related to the magnetic hysteresis loop. The metallic rare earth chalcogenides of RE3X4 type have attracte...

The 3rd order constants theory in solid material was completed with the papers by Toupin and Bernstein, Jones and Kobett and Truesdell [8-10]. Truesdell used four 3rd-order elastic constants in his general theory for isotropic solid. Brugger [11] gave the thermodynamic definition of higher order elastic constants. In 1973, Green reviewed 3rd-order constants measurements of various crystals, and...

Free-vibration-resonance frequencies of a film/substrate layered specimen depend on the dimensions, densities, and elastic constants both of the film and substrate. Then, the elastic constants of thin films are inversely determined by measuring the resonance frequencies and the other parameters. Because contributions of the film elastic constants to the resonance frequencies are small, high acc...

The mechanical properties including elastic stiffness constants as well as bulk modulus of Palladium (Pd) nanowire were calculated in the constant temperature and pressure (NPT), ensemble by molecular dynamics (MD) simulation technique. The quantum Sutton-Chen (Q-SC) many-body potential was used to calculate the cohesive energy as well as forces experience by every atoms. The temperature and pr...

Two methods are proposed to evaluate the second-order elastic constants of quantum mechanically treated solids. One method is based on path-integral simulations in the NVT ensemble using an estimator for elastic constants Ci j . The other method is based on simulations in the NpT ensemble exploiting the relationship between strain fluctuations and elastic constants. The strengths and weaknesses...