Bending and flexure of cylindrically monoclinic elastic cylinders |
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| Affiliation: | 1. Shandong Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, Institute of Space Sciences, Shandong University, Weihai 264209, China;2. Department of Meteorology, University of Reading, Reading RG6 6BB, UK;3. MIT Haystack Observatory, Westford, MA 01886, USA;4. School of Earth and Space Sciences, Peking University, Beijing 100087, China;5. Space Sciences Division, SSTD, Rutherford Appleton Laboratory, Didcot OX11 0QX, UK;6. Department of Physics, University of Oslo, Blindern 0316, Oslo, Norway;7. SOA Key Laboratory for Polar Science, Polar Research Institute of China, Shanghai 200136, China;1. Department of Electronics & Communication Engineering, OmDayal Group of Institutions, Howrah, West Bengal 711316, India;2. Department of Electronics & Communication Engineering, Swami Vivekananda Institute of Science & Technology, Dakshin Gobindapur, Kolkata 700145, India;3. Department of Electrical Engineering, Jadavpur University, Jadavpur, Kolkata 700032, India;4. Composite Materials Research Laboratory, Department of Engineering Sciences and Humanities, Siliguri Institute of Technology, Darjeeeling 734009, West Bengal, India;1. Université Paris-Est, IFSTTAR, GERS, 14-20 Boulevard Newton, F-77447 Champs-sur-Marne, Marne-la-Vallée Cedex 2, France;2. Université de Lyon, LGCB/LTDS CNRS 5513, ENTPE, 3 rue Maurice Audin, F-69518 Vaulx-en-Velin Cedex, France |
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| Abstract: | We consider a circular cylinder of linearly elastic material with cylindrically monoclinic material symmetry. This represents a model for a helically wound composite cable or wire rope. The elastic moduli are allowed to be arbitrary functions of the radius r. The cylinder undergoes deformation in which the axis of the cylinder is bent into a plane quartic curve. For the resulting stress field, we obtain exact integrals of the equilibrium equations, and derive simplified expressions for the shear stress resultants and bending moments. |
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