3 problems

Let an inclusion be embedded in an infinite isotropic elastic medium, and prescribe a uniform eigenstrain (or eigenstress) in the inclusion. The Eshelby uniformity conjecture. The…

Let an inclusion be a bounded region in an elastic medium, and let a polynomial eigenstrain of degree $n$ be prescribed in it. The inclusion has the polynomial conservation propert…

Let a perfectly conducting inclusion in three dimensions have a fixed volume, and let its average polarizability be obtained by averaging over all orientations of the applied field…