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Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389 May 8, 2011 ©2011 by The Royal Society

Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

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Page 1: Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

Numerical study of shearing of a microfibre during friction testing of a microfibre array

by Ajeet Kumar, and Chung-Yuen Hui

Proceedings AVolume 467(2129):1372-1389

May 8, 2011

©2011 by The Royal Society

Page 2: Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

Schematic of a rod undergoing deformation from its straight state reference configuration, inset shows forces and moments acting at the end cross sections of a rod segment.

Ajeet Kumar, and Chung-Yuen Hui Proc. R. Soc. A 2011;467:1372-1389

©2011 by The Royal Society

Page 3: Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

Part (a) shows how the normalized shear force depends on the normalized shear displacement during a fixed normal load test.

Ajeet Kumar, and Chung-Yuen Hui Proc. R. Soc. A 2011;467:1372-1389

©2011 by The Royal Society

Page 4: Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

Buckling load (normalized by Euler buckling load for clamped–clamped straight rod) versus normalized shear displacement for clamped–clamped (solid line) and clamped–pinned (dashed-

dotted) boundary conditions.

Ajeet Kumar, and Chung-Yuen Hui Proc. R. Soc. A 2011;467:1372-1389

©2011 by The Royal Society

Page 5: Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

First unstable configuration as the fibre is being sheared at a fixed normalized normal load = −0.44; clamped–clamped rod (solid line); clamped–pinned rod (dashed-dotted).

Ajeet Kumar, and Chung-Yuen Hui Proc. R. Soc. A 2011;467:1372-1389

©2011 by The Royal Society

Page 6: Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

Contour plots at several fixed values of initial compressive preload during a displacement-controlled test: (a) normalized normal force versus normalized shear displacement; (b)

normalized shear force versus normalized shear displacement.

Ajeet Kumar, and Chung-Yuen Hui Proc. R. Soc. A 2011;467:1372-1389

©2011 by The Royal Society

Page 7: Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

Contour plots for normalized shear force versus normalized normal load during displacement-controlled test for several values of initial compressive preload.

Ajeet Kumar, and Chung-Yuen Hui Proc. R. Soc. A 2011;467:1372-1389

©2011 by The Royal Society

Page 8: Numerical study of shearing of a microfibre during friction testing of a microfibre array by Ajeet Kumar, and Chung-Yuen Hui Proceedings A Volume 467(2129):1372-1389

Critical shear force (normalized) versus initial compressive preload (normalized) at several values of normalized critical normal load.

Ajeet Kumar, and Chung-Yuen Hui Proc. R. Soc. A 2011;467:1372-1389

©2011 by The Royal Society