2 problems
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Eshelby's strong uniformity conjecture for ellipsoidal inclusions
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…
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The high-order Eshelby conjecture
Let an inclusion be a bounded region in an elastic medium, and let a polynomial eigenstrain of degree be prescribed in it. The inclusion has the polynomial conservation propert…