Solid-to-shell transition elements for the computation of interlaminar stresses |
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| Affiliation: | 1. Faculty of Mechanical Engineering, Universidad de Ingeniería y Tecnología (UTEC), Medrano Silva 165, Barranco, Lima, Peru;2. University of New Mexico, Department of Mechanical Engineering, Albuquerque, NM, USA;1. Department of Civil Engineering, Shanghai Normal University, Shanghai 201418, China;2. School of Civil Engineering, University of Birmingham, Birmingham B15 2TT, UK;3. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;4. Department of Civil Engineering, Graduate School of Urban Innovation, Yokohama National University, Yokohama 2408501, Japan;1. Department of Mechanical Engineering, Florida Center for Advanced Aero-Propulsion, Florida State University, Tallahassee, FL32310, USA;2. Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL32611, USA;1. Faculty of Mechanical Engineering, Universidad de Ingeniería y Tecnología (UTEC), Jr. Medrano Silva 165, Barranco, Lima, Peru;2. University of New Mexico, Department of Mechanical Engineering, Albuquerque, NM, USA;3. University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, Croatia;1. Department of Mechanical Engineering, Texas Tech University, Lubbock, TX 79409-1021, USA;2. Air Force Research Laboratory, Munitions Directorate, Eglin Air Force Base, FL 32542, USA |
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| Abstract: | This paper presents an accurate and practical technique for coupling shell element models to three-dimensional continuum finite element models. The compatibility between these two types of formulations is enforced by degenerating a continuum element through kinematic constraints compatible with shell deformations. Two formulations of two-dimensional/three-dimensional transition elements are presented. The first and simplest formulation is based on the Mindlin-Reissner plate assumptions, and is found to perform well in a variety of problems involving the analysis of geometrically linear/non-linear laminated structures. The second formulation is based on a higher-order shell theory that allows stretching in the through-the-thickness direction. This additional freedom virtually eliminates the interlaminar normal stress boundary layer that can form in lower-order transition elements. Finally, the coupling of two-dimensional to three-dimensional subdomains is enriched with the use of an interface element, which can be used in conjunction with either transition formulation. The interface element improves the efficiency of the solid-to-shell transition modeling scheme by allowing the independent selection of optimal mesh sizes in the shell and the three-dimensional regions of the model. |
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