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 ...
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 ...
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 ...
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