Fundamental-solution-based finite element model for plane orthotropic elastic bodies |
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| Authors: | Hui Wang Qing-Hua Qin |
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| Affiliation: | 1. College of Civil Engineering and Architecture, Henan University of Technology, Zhengzhou 450052, China;2. School of Engineering, Australian National University, Canberra, ACT 0200, Australia;1. Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, PR China;2. Department of Mechanical Engineering and Materials Science, Duke University, NC 27708, USA;3. Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;1. School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China;2. College of Chemistry, Chemical Engineering and Biotechnology, Donghua University, Shanghai 201620, China;1. Institute of Nuclear Energy Research, Taiwan, ROC;2. Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan, ROC |
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| Abstract: | A new hybrid finite element formulation is presented for solving two-dimensional orthotropic elasticity problems. A linear combination of fundamental solutions is used to approximate the intra-element displacement fields and conventional shape functions are employed to construct elementary boundary fields, which are independent of the intra-element fields. To establish a linkage between the two independent fields and produce the final displacement-force equations, a hybrid variational functional containing integrals along the elemental boundary only is developed. Results are presented for four numerical examples including a cantilever plate, a square plate under uniform tension, a plate with a circular hole, and a plate with a central crack, respectively, and are assessed by comparing them with solutions from ABAQUS and other available results. |
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