3 problems
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Conjecture on Korn inequality scaling for shells with nonzero Gaussian curvature
Korn scaling conjecture. One has
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Conjecture on shape imperfections and preservation of the Korn constant asymptotics
Consider a circular cylindrical shell with a shape imperfection, such as a small localized dent, and let the trivial branch denote the unbuckled solution branch. Let the fundamenta…
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Conjecture that buckling loads scaling with the Korn constant are imperfection-insensitive
Let denote the Korn constant associated with the admissible space , and consider buckling loads for axially compressed circular cylindrical shells. Imperfection-insen…