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• W3100722551 abstract "We investigate with experiments the twist-induced transverse buckling instabilities of an elastic sheet of length L , width W and thickness t , that is clamped at two opposite ends while held under a tension T . Above a critical tension T λ and critical twist angle η tr , we find that the sheet buckles with a mode number n ≥1 transverse to the axis of twist. Three distinct buckling regimes characterized as clamp-dominated, bendable and stiff are identified, by introducing a bendability length L B and a clamp length L C (< L B ). In the stiff regime ( L > L B ), we find that mode n =1 develops above η tr ≡ η S ∼( t / W ) T −1/2 , independent of L . In the bendable regime L C < L < L B , n =1 as well as n >1 occur above <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msub> <mml:mi>η</mml:mi> <mml:mrow> <mml:mrow> <mml:mi mathvariant=normal>tr</mml:mi> </mml:mrow> </mml:mrow> </mml:msub> <mml:mo>≡</mml:mo> <mml:msub> <mml:mi>η</mml:mi> <mml:mrow> <mml:mi mathvariant=normal>B</mml:mi> </mml:mrow> </mml:msub> <mml:mo>∼</mml:mo> <mml:msqrt> <mml:mi>t</mml:mi> <mml:mrow> <mml:mo>/</mml:mo> </mml:mrow> <mml:mi>L</mml:mi> </mml:msqrt> <mml:msup> <mml:mi>T</mml:mi> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> <mml:mrow> <mml:mo>/</mml:mo> </mml:mrow> <mml:mn>4</mml:mn> </mml:mrow> </mml:msup> </mml:math> . Here, we find the wavelength <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msub> <mml:mi>λ</mml:mi> <mml:mrow> <mml:mrow> <mml:mi mathvariant=normal>B</mml:mi> </mml:mrow> </mml:mrow> </mml:msub> <mml:mo>∼</mml:mo> <mml:msqrt> <mml:mi>L</mml:mi> <mml:mi>t</mml:mi> </mml:msqrt> <mml:msup> <mml:mi>T</mml:mi> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> <mml:mrow> <mml:mo>/</mml:mo> </mml:mrow> <mml:mn>4</mml:mn> </mml:mrow> </mml:msup> </mml:math> , when n >1. These scalings agree with those derived from a covariant form of the Föppl-von Kármán equations, however, we find that the n =1 mode also occurs over a surprisingly large range of L in the bendable regime. Finally, in the clamp-dominated regime ( L < L C ), we find that η tr is higher compared to η B due to additional stiffening induced by the clamped boundary conditions." @default.
• W3100722551 created "2020-11-23" @default.
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• W3100722551 date "2018-06-01" @default.
• W3100722551 modified "2023-10-18" @default.
• W3100722551 title "Tension-dependent transverse buckles and wrinkles in twisted elastic sheets" @default.
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