The elastic properties of several monocrystalline and textured Nickel-base alloys were determined as a function of orientation in single crystals and of direction in textured materials by a dynamic resonance technique between 20°C and 1200°C. For the quantitative description of the elastic behavior of anisotropic solids the elastic single crystal constants, the texture, and the orientation are ...

We derive expressions for the lowest nonlinear elastic constants of amorphous solids in athermal conditions (up to third order), in terms of the interaction potential between the constituent particles. The effect of these constants cannot be disregarded when amorphous solids undergo instabilities such as plastic flow or fracture in the athermal limit; in such situations the elastic response inc...

Dense rubbery networks are highly entangled polymer systems, with significant topological restrictions for the mobility of neighbouring chains and crosslinks preventing the reptation constraint release. In a mean field approach, entanglements are treated within the famous reptation approach, since they effectively confine each individual chain in a tube-like geometry. We apply the classical ide...

We have carried out a first-principles study of the elastic properties and electronic structure for two roomtemperature stable Pt silicide phases, tetragonal a-Pt2Si, and orthorhombic PtSi. We have calculated all of the equilibrium structural parameters for both phases: the a and c lattice constants for a-Pt2Si and the a, b, and c lattice constants and four internal structural parameters for Pt...

Internal stability of isotropic nonlinear elastic materials under homogeneous deformation is studied. Results provide new insight into various intrinsic stability measures, first proposed elsewhere, for generic nonlinear elastic solids. Three intrinsic stability criteria involving three different tangent elastic stiffness matrices are considered, corresponding to respective increments in strain...

The phase-field microelasticity (PFM) is adapted into a homogenization process to predict all the effective elastic constants of three-dimensional heterogeneous materials with complex microstructures. Comparison between the PFM approach and the Hashin–Shtrikman variational approach is also given. Using 3D images of two-phase heterogeneous media with regular and irregular microstructures, result...

We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented cracks of equal length in an isotropic plane-strain medium for lower crack densities; for higher densities the material is weaker than predicted due to precurs...

A NEW method is presented for a systematic evaluation of the effective elastic tensor Ccc) in a two-component composite. Both Ct” and local strain field are expanded in terms of a complete set of elastostatic resonances. The resonances are found by calculating eigenstates of a certain integral operator, and this can be carried out in stages. First one finds theeigenstates of individual, isolate...

The complex behaviour of metals under severe thermal and stress environments is influenced markedly by their elastic properties. Indeed the response of a material tc~ an applied stress is always determined by the elastic constants and their pressure derivatives. Furthermore, both the mechanical and thermodynamic equation;$ of state of a metal that contains dislocations require detailed knowledg...

We study the elastic properties of phantom networks of Gaussian and nearly Gaussian springs. We show that the stress tensor of a Gaussian network coincides with the conductivity tensor of an equivalent resistor network, while its elastic constants vanish. We use a perturbation theory to analyze the elastic behavior of networks of slightly non-Gaussian springs. We show that the elastic constants...