Surface tension-induced stress concentration around an elliptical hole in an anisotropic half-plane |
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| Institution: | 1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta T6G 1H9, Canada;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;2. School of Astranautics and Aeronautics, University of Electronic Science and Technology, Chengdu 611732, PR China;1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 1H9;1. Laboratoire de Mécanique de Lille, UMR CNRS 8107, Université Lille 1, 59650 Villeneuve d’Ascq, France;2. Université Paris-Est, UR Navier, UMR 8205 CNRS, Ecole des Ponts ParisTech, 6-8 av. Blaise Pascal, Cité Descartes, Champs-sur-Marne, F-77455 Marne-La-Vallée Cedex 2, France;3. Université Pierre et Marie Curie, Institut D’Alembert, UMR 7190 CNRS, 4, Place Jussieu, 75252 Paris Cedex 05, France |
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| Abstract: | We examine the surface tension-induced stress concentration around an elliptical hole inside an anisotropic half-plane with traction-free surface. Using conformal mapping techniques, the corresponding complex potential in the half-plane is expressed in a series whose unknown coefficients are determined numerically. Our results indicate that the maximum hoop stress around the hole (which appears in the vicinity of the point of maximum curvature) increases rapidly with decreasing distance between the hole and the free surface. In particular, for an elliptical or even circular hole in an anisotropic half-plane we find that, with decreasing distance between the hole and the free surface, the hoop stress can switch from compressive to tensile at certain points on the hole's boundary and from tensile to compressive at others. This phenomenon is absent in the case of an elliptical or even circular hole in the corresponding case of an isotropic half-plane. |
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| Keywords: | Surface tension Anisotropic material Half-plane Nanosized hole Size dependence |
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