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Korn Inequality for a Thin Periodic Corrugated Beam

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We obtain the asymptotically exact weighted Korn inequality for a thin (of thickness δh) periodically corrugated (with step δ) beam clamped at its ends. The constant in the inequality is… Click to show full abstract

We obtain the asymptotically exact weighted Korn inequality for a thin (of thickness δh) periodically corrugated (with step δ) beam clamped at its ends. The constant in the inequality is independent of both small parameters δ and h, but the distribution of weighted factors under longitudinal and transverse displacements essentially differs from the optimal one in the case of a straight beam.

Keywords: thin periodic; korn inequality; periodic corrugated; inequality thin; inequality; beam

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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