We propose a method to predict the value of the external strain where a generic amorphous solid will fail by a plastic response (i.e., an irreversible deformation), solely on the basis of measurements of the nonlinear elastic moduli. While usually considered fundamentally different, with the elastic properties describing reversible phenomena and plastic failure epitomizing irreversible behavior...

We consider elastic wave velocities in fluid-saturated porous media with pore fluids distributed in “patches” (i.e., heterogeneity much larger than the typical pore size). We model elastic properties of such materials using inclusion-based effective medium theory (IBEMT). The standard IBEMT formulation assumes insufficient time during the wave cycle for pore fluids to flow in response to wave-i...

Eshelby's theory is the foundation of composite mechanics, allowing calculation of the effective elastic moduli of composites from a knowledge of their microstructure. However, it ignores interfacial stress and only applies to very dilute composites-i.e. where any inclusions are widely spaced apart. Here, within the framework of the Mori-Tanaka multiphase approximation scheme, we extend Eshelby...

We have used phase field simulations to study elastic stress driven phase inversion in which an initial microstructure with a minority phase embedded in a majority phase evolves to one in which the latter becomes embedded in the former. Such phase inversion is possible if the majority phase is elastically stiffer than the minority phase. For a given set of parameters (volume fraction and elasti...

Nematic elastomers exhibit a rich elastic response to external stresses. Of particular interest is the semisoft response of elastomers with an anisotropy direction (z) frozen in by a double cross-linking process. This response is characterized by a stress-strain curve for stresses along x perpendicular to z that rises initially, exhibits a nearly flat plateau between two critical values of stra...

This paper is a brief introduction to some of the well known fundamental engineering properties of homogeneous isotropic linear elastic materials. It specifically shows the relationships between different elastic moduli. It covers some of the extensive (but not so well known) relationships between the various moduli of these materials and also illustrates the importance of parameters such as Po...

In this article, the second-order statistics of the elastic moduli of randomly oriented grains in a polycrystal are derived for the case when an initial stress is present. The initial stress can be either residual stress or stresses generated from external loading. The initial stress is shown to increase or decrease the variability of the grain's elastic moduli from the average elastic moduli o...

[1] Room temperature investigations of the single-crystal elastic moduli and anisotropy of the phase of iron are performed up to 30.3 GPa using the radial X-ray diffraction technique. The accuracy of the calculated elastic moduli has improved compared to previous measurements using similar techniques because of an increase in accuracy of the measurement, confinement of the sample to limit the e...