numerical study of shearing of a microfibre during friction testing of a microfibre array by ajeet...
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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](https://reader035.vdocuments.mx/reader035/viewer/2022072014/56649eab5503460f94bb0752/html5/thumbnails/1.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022072014/56649eab5503460f94bb0752/html5/thumbnails/2.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022072014/56649eab5503460f94bb0752/html5/thumbnails/3.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022072014/56649eab5503460f94bb0752/html5/thumbnails/4.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022072014/56649eab5503460f94bb0752/html5/thumbnails/5.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022072014/56649eab5503460f94bb0752/html5/thumbnails/6.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022072014/56649eab5503460f94bb0752/html5/thumbnails/7.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022072014/56649eab5503460f94bb0752/html5/thumbnails/8.jpg)
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