Mechanogeometry of nanowrinkling in cholesteric liquid crystal surfaces

Physical Review. E
Ziheng WangAlejandro D Rey

Abstract

Biological plywoods are multifunctional fibrous composites materials, ubiquitous in nature. The chiral fibrous organization is found in chitin (insects), cellulosics (plants), and collagen I (cornea and bone of mammals) and is a solid analog of that of cholesteric liquid crystals. The surface and interfaces of plywoods are distinguished by hierarchical topographies and nanowrinkling. In this paper, we present a theory to model the emergence of these surfaces and interfaces using liquid crystal-based shape equations that directly connect material properties with geometric wrinkling. The model applies to liquid crystal precursors of the plywood solid analoges. We focus on wrinkling geometry, wrinkling mechanics, and the mechanogeometry relationships that underlie multifunctionality ubiquitous in biological surfaces. Scaling wrinkling laws that connect mechanical pressures and stresses to folding and bending are formulated and quantified. A synthesis of the connections between mechanics and geometry is achieved using the topology of stress curves and curvature of the wrinkles. Taken together the results show that anchoring is a versatile surface morphing mechanism with a rich surface bending stress field, two ingredients behind ma...Continue Reading

References

Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A D Rey
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A D Rey
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ae-Gyeong Cheong, Alejandro D Rey
Jun 1, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alejandro D Rey
Jul 23, 2004·The Journal of Chemical Physics·Alejandro D Rey
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Dec 28, 2005·Langmuir : the ACS Journal of Surfaces and Colloids·Alejandro D Rey
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Dec 23, 2014·Soft Matter·Pardis RofouieAlejandro D Rey
Sep 24, 2015·The Journal of Chemical Physics·P RofouieA D Rey
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Feb 3, 2018·Soft Matter·Oscar F Aguilar Gutierrez, Alejandro D Rey
Mar 21, 2019·Small·Jianguo ZhaoBen Bin Xu

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