The study of nanoscale crystals and structures has intensified as their often unique properties find application in new materials and devices 3,4,5,6. Traditional non-destructive methods such as ...
Korn inequalities are central to the mathematical framework underpinning elasticity theory, providing essential bounds that relate the deformation of a material to the symmetrised gradient of its ...
In this paper we consider a statistically homogeneous medium with small random variations in elastic properties. We derive the equations satisfied by the two point displacement field correlation ...