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Stresses in thin spherical shells with imperfections. Part I: Influence of axisymmetric imperfections
Authors:Luis A Godoy  Fernando G Flores
Affiliation:1. Department of Continuum Mechanics and Structures, Escuela de Caminos, Canales y Puertos, Universidad Politécnica de Madrid, 28040 Madrid, Spain;2. Hari Shankar Singhania Elastomer and Tyre Research Institute, JK Tyre, Mysore, India;3. Grupo de Elasticidad y Resistencia de Materiales, School of Engineering. Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Seville, Spain;1. School of Mechanical Engineering, Northwestern Polytechnical University, Xi׳An 710072, China;2. China Academy of Aerospace Systems Science and Engineering, Beijing 100048, China;1. Center for Composite Materials, Harbin Institute of Technology, Harbin 150080, China;2. National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology, Harbin 150080, China;3. Shanghai YS Information Technology Co., Ltd., Shanghai 200240, China;4. Department of Materials Science and Engineering (MSE), Cornell University, Ithaca, NY 14850, USA;1. School of Mechano-Electronic Engineering, Xidian University, Xi’an 710071, China;2. CityU-Xidian Joint Laboratory of Micro/Nano Manufacturing, Shenzhen 518057, China;3. School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China;1. CETIM - Centre Technique des Industries Mécaniques, 5 avenue Félix Louat - BP 80067, F-60304 Senlis Cedex, France;2. Mines Douai, Polymers and Composites Technology & Mechanical Engineering Department, 941 rue Charles Bourseul - CS 10838, F-59508 Douai Cedex, France;3. ENSTA Bretagne, FRE CNRS 3744, IRDL, F-29200 Brest, France
Abstract:A finite element model of axisymmetric geometry is used to obtain stress and moment fields in the region of an imperfection in thin, spherical shells. In Part I the studies are restricted to axisymmetric imperfections with a cosine variation along the meridian. Parametric studies are carried out to identify the main parameters controlling the response for internal pressure and gravity load. The results show that the behaviour of the shell is similar to the imperfect cylindrical shell with the same radius as in the spherical shell.
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